Metrics for 2tan (problem 3.3.2)

analyze39.0ms (0.2%)

Memory

15.2MiB live, 92.8MiB 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)

sample5.8s (37%)

Memory

-133.3MiB live, 8 026.1MiB allocated

Samples

3.0s	25 979×	0	invalid
643.0ms	5 470×	0	valid
517.0ms	2 786×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

const: 747.0ms (25.3% of total)

ival-tan: 667.0ms (22.6% of total)

ival-mult: 265.0ms (9% of total)

ival-<=: 233.0ms (7.9% of total)

ival-add: 226.0ms (7.7% of total)

ival-<: 207.0ms (7% of total)

ival-fabs: 199.0ms (6.7% of total)

ival-sub: 193.0ms (6.5% of total)

ival-and: 109.0ms (3.7% of total)

adjust: 47.0ms (1.6% of total)

exact: 47.0ms (1.6% of total)

ival-assert: 14.0ms (0.5% of total)

Bogosity

preprocess32.0ms (0.2%)

Memory

-18.0MiB live, 30.5MiB 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))

explain85.0ms (0.5%)

Memory

-18.1MiB live, 140.9MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	221	3
-	2	30

Precision

0.9910313901345291

Recall

0.9866071428571429

Confusion?

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

Precision?

0.9655172413793104

Recall?

1.0

Freqs

test

number	freq
0	33
1	223

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms	178×	1	valid
17.0ms	332×	0	valid
1.0ms	2×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-tan: 10.0ms (53.5% of total)

ival-add: 3.0ms (16% of total)

ival-sub: 3.0ms (16% of total)

adjust: 2.0ms (10.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize26.0ms (0.2%)

Memory

2.0MiB live, 39.2MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

10.0ms	89×	1	valid
8.0ms	166×	0	valid
0.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-tan: 4.0ms (37.5% of total)

adjust: 3.0ms (28.1% of total)

ival-add: 2.0ms (18.8% of total)

ival-sub: 1.0ms (9.4% of total)

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

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

series11.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB 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	@	0	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	inf	(- (tan (+ x eps)) (tan x))
1.0ms	x	@	-inf	(- (tan (+ x eps)) (tan x))

rewrite293.0ms (1.9%)

Memory

-21.3MiB live, 415.7MiB 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))
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (tan.f64 x) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64))))))
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(/.f64 (.f64 (.f64 (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))

simplify428.0ms (2.7%)

Memory

17.7MiB live, 518.7MiB 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))

eval40.0ms (0.3%)

Memory: -2.1MiB live, 72.3MiB allocated
Compiler: Compiled 8 660 to 987 computations (88.6% saved)

prune61.0ms (0.4%)

Memory

11.3MiB live, 99.7MiB allocated

Pruning

22 alts after pruning (21 fresh and 1 done)

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

Accuracy

100.0%

Counts

344 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	61.3%	(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
	99.6%	(fma.f64 eps (fma.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 eps (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
▶	99.9%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (*.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	99.8%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	99.3%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	61.3%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) (.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)))))
	61.3%	(/.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)))))
	61.3%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
▶	61.3%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	98.4%	(/.f64 (sin.f64 eps) (cos.f64 eps))
▶	61.3%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	61.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	35.1%	(-.f64 (tan.f64 (-.f64 (/.f64 (.f64 x x) (-.f64 x eps)) (/.f64 (.f64 eps eps) (-.f64 x eps)))) (tan.f64 x))
	60.6%	(-.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))
	60.6%	(-.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))
	60.4%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	60.0%	(-.f64 (tan.f64 (+.f64 x eps)) x)
	21.2%	(-.f64 (tan.f64 (.f64 (fma.f64 eps (.f64 eps eps) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x)))))) (tan.f64 x))
	7.8%	(-.f64 (tan.f64 eps) (tan.f64 x))
	61.3%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))

Compiler

Compiled 1 163 to 516 computations (55.6% saved)

simplify467.0ms (3%)

Memory

16.2MiB live, 738.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

20 804×	`accelerator-lowering-fma.f32`
20 804×	`accelerator-lowering-fma.f64`
4 592×	`+-lowering-+.f64`
4 592×	`+-lowering-+.f32`
3 186×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	1035
1	141	855
2	426	733
3	1512	695
0	8762	670

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize327.0ms (2.1%)

Memory

-6.9MiB live, 304.5MiB allocated

Localize:

Found 18 expressions of interest:

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

Samples

100.0ms	164×	0	valid
76.0ms	82×	1	valid
11.0ms	1×	4	valid
9.0ms	9×	2	valid

Compiler

Compiled 1 003 to 60 computations (94% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div: 32.0ms (21.1% of total)

ival-add: 24.0ms (15.8% of total)

ival-mult: 18.0ms (11.8% of total)

ival-tan: 15.0ms (9.9% of total)

ival-cos: 14.0ms (9.2% of total)

ival-sub: 10.0ms (6.6% of total)

ival-pow: 10.0ms (6.6% of total)

const: 8.0ms (5.3% of total)

adjust: 8.0ms (5.3% of total)

ival-pow2: 6.0ms (3.9% of total)

ival-sin: 6.0ms (3.9% of total)

exact: 1.0ms (0.7% of total)

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

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

series126.0ms (0.8%)

Memory

-0.6MiB live, 81.1MiB allocated

Counts

23 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
27.0ms	x	@	inf	(+ (* eps (+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))
21.0ms	eps	@	inf	(+ (* eps (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))
11.0ms	x	@	inf	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))
10.0ms	x	@	inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
6.0ms	x	@	-inf	(+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (* (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))) (/ (sin x) (cos x))))) (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2)))))

rewrite604.0ms (3.9%)

Memory

20.7MiB live, 378.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 172×	`-lowering-.f32`
5 172×	`-lowering-.f64`
4 396×	`accelerator-lowering-fma.f32`
4 396×	`accelerator-lowering-fma.f64`
2 390×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	591
1	409	393
2	4550	379
0	8133	356

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 670

Calls

Call 1

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

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

simplify660.0ms (4.2%)

Memory

-25.3MiB live, 648.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 608×	`accelerator-lowering-fma.f32`
11 608×	`accelerator-lowering-fma.f64`
7 190×	`-lowering-.f32`
7 190×	`-lowering-.f64`
4 164×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	672	11471
1	2166	11304
2	7530	11223
0	8543	10767

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
(* -1 (* eps (+ (* -1 (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (* -1 (/ (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)))))
1/3
(+ 1/3 (* 2/3 (* eps x)))
(+ 1/3 (* x (+ (* 2/3 eps) (* 4/3 x))))
(+ 1/3 (* x (+ (* 2/3 eps) (* x (+ 4/3 (* 17/9 (* eps x)))))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))
(+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))
(* (pow eps 2) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(* (pow eps 2) (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(* (pow eps 2) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(+ (* eps (+ (* eps (- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* 13/120 (pow x 2)) 1/2))))
(* (pow x 3) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 13/120 (* -41/3024 (pow x 2)))) 1/2))))
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(pow (sin x) 3)
(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))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(/ (* x (sin eps)) (cos eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* eps (sin x)) (cos x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))

Outputs
(- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (+.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))))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 eps (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (+.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 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1/3 binary64))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 eps (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (+.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 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1/3 binary64))))
(- (+ 1/3 (+ (* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 (fma.f64 eps (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (+.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 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) #s(literal 1/3 binary64))))
(* eps (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))))
(.f64 eps (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (+.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 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 #s(literal 1/3 binary64) (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
(.f64 eps (fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) #s(literal 1/3 binary64) (+.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) (+.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 (sin.f64 x) (cos.f64 x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) eps)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) eps)))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x)) (/.f64 #s(literal 1/3 binary64) eps)))))
(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* eps (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* (pow eps 3) (- (+ (* 1/3 (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x))) (+ (* 1/3 (/ 1 eps)) (+ (/ (sin x) (* (pow eps 2) (cos x))) (+ (/ (* (sin x) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x)) (+ (/ (pow (sin x) 2) (* eps (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (* (pow eps 3) (pow (cos x) 2))) (+ (/ (pow (sin x) 3) (* (pow eps 2) (pow (cos x) 3))) (/ (pow (sin x) 4) (* eps (pow (cos x) 4)))))))))) (+ (* -1/2 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (* eps (pow (cos x) 2)))))))
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(* 1/3 (pow eps 2))
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(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
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(fma.f64 (neg.f64 eps) (*.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 eps (fma.f64 (sin.f64 x) (neg.f64 (cos.f64 x)) (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) eps))) (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 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) (.f64 (sin.f64 x) #s(literal 1/6 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 x eps)))
(* (cos x) (cos (+ eps x)))
(*.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 (+ 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)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(/ (* x (sin eps)) (cos eps))
(/.f64 (*.f64 x (sin.f64 eps)) (cos.f64 eps))
(* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (.f64 #s(literal 2/15 binary64) (.f64 x (*.f64 x (sin.f64 eps)))) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(* x (+ (* (pow x 2) (+ (* 1/3 (/ (sin eps) (cos eps))) (* (pow x 2) (+ (* 17/315 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 2/15 (/ (sin eps) (cos eps))))))) (/ (sin eps) (cos eps))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) #s(literal 17/315 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) #s(literal 2/15 binary64)) (cos.f64 eps))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* eps (sin x)) (cos x))
(/.f64 (*.f64 (sin.f64 x) eps) (cos.f64 x))
(* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 #s(literal 2/15 binary64) (.f64 eps (*.f64 (sin.f64 x) eps))) (cos.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))
(* eps (+ (* (pow eps 2) (+ (* 1/3 (/ (sin x) (cos x))) (* (pow eps 2) (+ (* 17/315 (/ (* (pow eps 2) (sin x)) (cos x))) (* 2/15 (/ (sin x) (cos x))))))) (/ (sin x) (cos x))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 eps eps) (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 2/15 binary64) (.f64 (.f64 (*.f64 eps eps) #s(literal 17/315 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (sin.f64 x) (cos.f64 x))))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))

eval362.0ms (2.3%)

Memory: 21.4MiB live, 726.6MiB allocated
Compiler: Compiled 137 022 to 5 399 computations (96.1% saved)

prune189.0ms (1.2%)

Memory

-0.4MiB live, 349.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 689	12	1 701
Fresh	13	3	16
Picked	5	0	5
Done	0	1	1
Total	1 707	16	1 723

Accuracy

100.0%

Counts

1 723 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 eps (.f64 eps eps)) eps)
	98.4%	(fma.f64 (.f64 eps eps) (.f64 (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps) eps)
▶	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
▶	98.4%	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps))) eps)
	99.3%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	98.4%	(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
▶	100.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.9%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.3%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
	99.7%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	98.4%	(/.f64 eps (cos.f64 eps))
	60.6%	(-.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))
▶	60.6%	(-.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))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	98.4%	eps

Compiler

Compiled 527 to 300 computations (43.1% saved)

simplify422.0ms (2.7%)

Memory

-10.7MiB live, 531.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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)
✓	cost-diff	0	(+.f64 x eps)
✓	cost-diff	0	(tan.f64 (+.f64 x eps))
✓	cost-diff	0	(-.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))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	cost-diff	320	(fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)))
✓	cost-diff	320	(fma.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(.f64 x (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps))) eps)
✓	cost-diff	640	(fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))

Rules

23 822×	`accelerator-lowering-fma.f32`
23 822×	`accelerator-lowering-fma.f64`
4 106×	`+-lowering-+.f64`
4 106×	`+-lowering-+.f32`
3 230×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	415
1	164	399
2	490	391
3	1583	387
4	6125	387
5	7663	387
0	8128	340

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* (cos x) (cos (+ x eps))))
(+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps)
(+ (* (* eps eps) 1/120) -1/6)
(* eps eps)
eps
1/120
-1/6
(* eps (* eps eps))
(* (cos x) (cos (+ x eps)))
(cos x)
x
(cos (+ x eps))
(+ x eps)
eps
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (* 2/3 (* eps eps))) eps)))) eps)
eps
(+ (* 1/3 (* eps eps)) (* x (+ (* eps (* 2/3 (* eps eps))) eps)))
1/3
(* eps eps)
(* x (+ (* eps (* 2/3 (* eps eps))) eps))
x
(+ (* eps (* 2/3 (* eps eps))) eps)
(* 2/3 (* eps eps))
2/3
(+ (* eps (+ (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))) (* 1/3 (* eps eps)))) eps)
eps
(+ (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))) (* 1/3 (* eps eps)))
x
(+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))
(+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))
(* eps (+ (* 17/9 (* eps eps)) 4/3))
(+ (* 17/9 (* eps eps)) 4/3)
17/9
(* eps eps)
4/3
(+ (* eps (* eps 4/3)) 1)
(* eps 4/3)
1
(+ (* eps (* 2/3 (* eps eps))) eps)
(* 2/3 (* eps eps))
2/3
(* 1/3 (* eps eps))
1/3
(- (tan (+ x eps)) (+ (* (+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3) (* x (* x x))) x))
(tan (+ x eps))
(+ x eps)
x
eps
(+ (* (+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3) (* x (* x x))) x)
(+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3)
(* x (+ (* (* x x) 17/315) 2/15))
(+ (* (* x x) 17/315) 2/15)
(* x x)
17/315
2/15
1/3
(* x (* x x))

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

localize238.0ms (1.5%)

Memory

12.6MiB live, 255.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 (+.f64 x eps))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
✓	accuracy	61.5%	(-.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))
✓	accuracy	99.7%	(.f64 #s(literal 2/3 binary64) (.f64 eps eps))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	99.5%	(.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64)))
✓	accuracy	99.4%	(*.f64 eps #s(literal 4/3 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(.f64 x (fma.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps eps)) eps))
✓	accuracy	99.8%	(fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)))
✓	accuracy	99.7%	(.f64 #s(literal 2/3 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))

Samples

69.0ms	164×	0	valid
65.0ms	90×	1	valid
2.0ms	1×	3	valid
1.0ms	1×	2	valid

Compiler

Compiled 382 to 57 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 40.0ms (36.9% of total)

const: 28.0ms (25.8% of total)

ival-add: 24.0ms (22.1% of total)

adjust: 6.0ms (5.5% of total)

ival-cos: 4.0ms (3.7% of total)

ival-tan: 2.0ms (1.8% of total)

ival-div: 2.0ms (1.8% of total)

ival-sub: 1.0ms (0.9% of total)

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

exact: 0.0ms (0% of total)

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

series39.0ms (0.3%)

Memory

17.6MiB live, 55.4MiB allocated

Counts

24 → 432

Calls

Call 1

Inputs
#<alt (/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* (cos x) (cos (+ x eps))))>
#<alt (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps)>
#<alt (+ (* (* eps eps) 1/120) -1/6)>
#<alt (* eps eps)>
#<alt (+ (* 1/3 (* eps eps)) (* x (+ (* eps (* 2/3 (* eps eps))) eps)))>
#<alt (+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (* 2/3 (* eps eps))) eps)))) eps)>
#<alt (* x (+ (* eps (* 2/3 (* eps eps))) eps))>
#<alt (+ (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))) (* 1/3 (* eps eps)))>
#<alt (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))>
#<alt (+ (* eps (+ (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))) (* 1/3 (* eps eps)))) eps)>
#<alt (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))>
#<alt (- (tan (+ x eps)) (+ (* (+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3) (* x (* x x))) x))>
#<alt (tan (+ x eps))>
#<alt (+ x eps)>
#<alt (+ (* (+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3) (* x (* x x))) x)>
#<alt (* eps (* eps eps))>
#<alt (* (cos x) (cos (+ x eps)))>
#<alt (cos x)>
#<alt (* 2/3 (* eps eps))>
#<alt (* eps 4/3)>
#<alt (* eps (+ (* 17/9 (* eps eps)) 4/3))>
#<alt (* 1/3 (* eps eps))>
#<alt (* x (+ (* (* x x) 17/315) 2/15))>
#<alt (* x (* x 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 (* 1/120 (/ (pow eps 5) (* (cos x) (cos (+ eps x)))))>
#<alt (* (pow eps 5) (- (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))))))>
#<alt (* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))>
#<alt (* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))>
#<alt (* 1/120 (/ (pow eps 5) (* (cos x) (cos (- x (* -1 eps))))))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))) (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))))))>
#<alt (* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))>
#<alt (* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))>
#<alt (+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* 1/120 (pow eps 5))>
#<alt (* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* 1/120 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (* 1/120 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* 1/120 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (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 x)>
#<alt (* eps (+ x (* 1/3 eps)))>
#<alt (* eps (+ x (* eps (+ 1/3 (* 2/3 (* eps x))))))>
#<alt (* eps (+ x (* eps (+ 1/3 (* 2/3 (* eps x))))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (* 1/3 (/ 1 eps))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2)))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (- (* -2/3 x) (* 1/3 (/ 1 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (/ x eps)) eps)) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (/ x eps)) eps)) (* -2/3 x))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (+ (* 1/3 (/ (pow eps 2) x)) (* 2/3 (pow eps 3)))))>
#<alt (* x (+ eps (+ (* 1/3 (/ (pow eps 2) x)) (* 2/3 (pow eps 3)))))>
#<alt (* x (+ eps (+ (* 1/3 (/ (pow eps 2) x)) (* 2/3 (pow eps 3)))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* -1 (* x (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x)))))>
#<alt eps>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* eps (+ 1 (* eps (+ x (* 1/3 eps)))))>
#<alt (* eps (+ 1 (* eps (+ x (* eps (+ 1/3 (* 2/3 (* eps x))))))))>
#<alt (* 2/3 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (* 1/3 (/ 1 eps))))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (/ x (pow eps 2))))))>
#<alt (* 2/3 (* (pow eps 4) x))>
#<alt (* (pow eps 4) (+ (* 2/3 x) (* 1/3 (/ 1 eps))))>
#<alt (* (pow eps 4) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/3) eps)) (* 2/3 x)))>
#<alt (* (pow eps 4) (+ (* -1 (/ (- (* -1 (/ (+ x (/ 1 eps)) eps)) 1/3) eps)) (* 2/3 x)))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))>
#<alt (* eps (* x (+ eps (* 2/3 (pow eps 3)))))>
#<alt (* x (+ (* 1/3 (/ (pow eps 3) x)) (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (/ eps x))))>
#<alt (* x (+ (* 1/3 (/ (pow eps 3) x)) (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (/ eps x))))>
#<alt (* x (+ (* 1/3 (/ (pow eps 3) x)) (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (/ eps x))))>
#<alt (* eps (* x (+ eps (* 2/3 (pow eps 3)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* x (+ eps (* 2/3 (pow eps 3))))>
#<alt (* eps x)>
#<alt (* eps (+ x (* 2/3 (* (pow eps 2) x))))>
#<alt (* eps (+ x (* 2/3 (* (pow eps 2) x))))>
#<alt (* eps (+ x (* 2/3 (* (pow eps 2) x))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (/ x (pow eps 2))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (/ x (pow eps 2))))>
#<alt (* (pow eps 3) (+ (* 2/3 x) (/ x (pow eps 2))))>
#<alt (* 2/3 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ x (pow eps 2))) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ x (pow eps 2))) (* -2/3 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ x (pow eps 2))) (* -2/3 x))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (* 4/3 (pow eps 2))))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2)))))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2))))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 2/3 (/ (pow eps 3) x)) (+ (* 4/3 (pow eps 2)) (/ eps x)))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))) x)))))>
#<alt (pow x 2)>
#<alt (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))>
#<alt (* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))>
#<alt (+ 1 (* 4/3 (pow eps 2)))>
#<alt (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))>
#<alt (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))>
#<alt (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* x (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* x (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* x (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))>
#<alt 1>
#<alt (+ 1 (* 4/3 (* eps x)))>
#<alt (+ 1 (* eps (+ (* 4/3 eps) (* 4/3 x))))>
#<alt (+ 1 (* eps (+ (* 4/3 x) (* eps (+ 4/3 (* 17/9 (* eps x)))))))>
#<alt (* 17/9 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 17/9 x) (* 4/3 (/ 1 eps))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (+ (* 17/9 x) (* 4/3 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (+ (* 17/9 x) (+ (* 4/3 (/ 1 eps)) (/ 1 (pow eps 3))))))>
#<alt (* 17/9 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (- (* -17/9 x) (* 4/3 (/ 1 eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -17/9 x) (* -1 (/ (+ 4/3 (* 4/3 (/ x eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -17/9 x) (* -1 (/ (+ 4/3 (* -1 (/ (- (* -4/3 x) (/ 1 eps)) eps))) eps)))))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 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)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))>
#<alt (* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) eps))))>
#<alt (* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (* x (- (* -4/3 (pow x 2)) 1))) (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps))) eps))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* eps (+ eps (* 2/3 (pow eps 3))))))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))>
#<alt (* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))>
#<alt (* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* eps (+ eps (* 2/3 (pow eps 3)))) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* eps (+ eps (* 2/3 (pow eps 3)))) (pow x 2)))))))>
#<alt (* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* eps (+ eps (* 2/3 (pow eps 3)))) x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))>
#<alt (+ eps (* 2/3 (pow eps 3)))>
#<alt (+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))>
#<alt (+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))>
#<alt (* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2)))))))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2)))))))>
#<alt (* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ (+ eps (* 2/3 (pow eps 3))) x))) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ (+ eps (* 2/3 (pow eps 3))) x))) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))>
#<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 (pow x 2)) (* eps (+ (* 4/3 x) (* eps (+ 2/3 (* 17/9 (pow x 2))))))))))>
#<alt (* (pow eps 3) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (/ 1 (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x (pow eps 3))))))))>
#<alt (* -1 (* (pow eps 3) (- (* -17/9 (pow x 2)) 2/3)))>
#<alt (* -1 (* (pow eps 3) (- (+ (* -17/9 (pow x 2)) (* -4/3 (/ x eps))) 2/3)))>
#<alt (* -1 (* (pow eps 3) (- (+ (* -17/9 (pow x 2)) (* -1 (/ (+ (* -1 (/ (- (* -4/3 (pow x 2)) 1) eps)) (* 4/3 x)) eps))) 2/3)))>
#<alt (* -1 (* (pow eps 3) (- (+ (* -17/9 (pow x 2)) (* -1 (/ (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)) eps))) 2/3)))>
#<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 (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))>
#<alt (- (/ (sin x) (cos x)) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<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 (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 17/315 (pow x 7))>
#<alt (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<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 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 (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 2/3 (pow eps 2))>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* eps (+ 4/3 (* 17/9 (pow eps 2))))>
#<alt (* eps (+ 4/3 (* 17/9 (pow eps 2))))>
#<alt (* eps (+ 4/3 (* 17/9 (pow eps 2))))>
#<alt (* 17/9 (pow eps 3))>
#<alt (* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))>
#<alt (* 17/9 (pow eps 3))>
#<alt (* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 2/15 x)>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* 17/315 (pow x 2))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* 17/315 (pow x 3))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>

Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x (+ (* eps (* 2/3 (* eps eps))) eps))
2.0ms	eps	@	inf	(+ (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))) (* 1/3 (* eps eps)))
1.0ms	x	@	inf	(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* (cos x) (cos (+ x eps))))
1.0ms	eps	@	inf	(- (tan (+ x eps)) (+ (* (+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3) (* x (* x x))) x))
1.0ms	x	@	0	(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* (cos x) (cos (+ x eps))))

rewrite586.0ms (3.8%)

Memory

4.9MiB live, 664.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 660×	`-lowering-.f32`
6 660×	`-lowering-.f64`
5 614×	`accelerator-lowering-fma.f32`
5 614×	`accelerator-lowering-fma.f64`
3 036×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	321
1	377	309
2	3522	309
0	9287	269

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 612

Calls

Call 1

Inputs
(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* (cos x) (cos (+ x eps))))
(+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps)
(+ (* (* eps eps) 1/120) -1/6)
(* eps eps)
(+ (* 1/3 (* eps eps)) (* x (+ (* eps (* 2/3 (* eps eps))) eps)))
(+ (* eps (+ (* 1/3 (* eps eps)) (* x (+ (* eps (* 2/3 (* eps eps))) eps)))) eps)
(* x (+ (* eps (* 2/3 (* eps eps))) eps))
(+ (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))) (* 1/3 (* eps eps)))
(+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))
(+ (* eps (+ (* x (+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))) (* 1/3 (* eps eps)))) eps)
(+ (* x (+ (* x (* eps (+ (* 17/9 (* eps eps)) 4/3))) (+ (* eps (* eps 4/3)) 1))) (+ (* eps (* 2/3 (* eps eps))) eps))
(- (tan (+ x eps)) (+ (* (+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3) (* x (* x x))) x))
(tan (+ x eps))
(+ x eps)
(+ (* (+ (* x (* x (+ (* (* x x) 17/315) 2/15))) 1/3) (* x (* x x))) x)
(* eps (* eps eps))
(* (cos x) (cos (+ x eps)))
(cos x)
(* 2/3 (* eps eps))
(* eps 4/3)
(* eps (+ (* 17/9 (* eps eps)) 4/3))
(* 1/3 (* eps eps))
(* x (+ (* (* x x) 17/315) 2/15))
(* x (* x x))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (neg.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps) (cos.f64 x))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)) (neg.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (-.f64 eps (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))))
(/.f64 (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))))
(/.f64 (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 eps (.f64 eps eps))) #s(literal 1 binary64)) (.f64 (fma.f64 eps (-.f64 eps (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps))) (neg.f64 (neg.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps) (cos.f64 x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) #s(literal 1 binary64)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 eps (.f64 eps eps))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (fma.f64 eps (-.f64 eps (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))) (.f64 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (.f64 (.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (fma.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps)))
(/.f64 (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(pow.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps) (cos.f64 x))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(.f64 (neg.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (cos.f64 x)))
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(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 (+.f64 eps x) x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x))))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 eps x))) (cos.f64 (-.f64 x (+.f64 eps x)))) #s(literal 1/2 binary64))
(cos.f64 x)
(.f64 eps (.f64 eps #s(literal 2/3 binary64)))
(.f64 (.f64 eps eps) #s(literal 2/3 binary64))
(.f64 #s(literal 2/3 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 2/3 binary64)) eps)
(*.f64 eps #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) eps)
(+.f64 (.f64 eps #s(literal 4/3 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64)))
(+.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64)) (.f64 eps #s(literal 4/3 binary64)))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 17/9 binary64)) (*.f64 eps #s(literal 4/3 binary64)))
(fma.f64 eps #s(literal 4/3 binary64) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 17/9 binary64)))
(fma.f64 (.f64 eps eps) (.f64 eps #s(literal 17/9 binary64)) (*.f64 eps #s(literal 4/3 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64) (*.f64 eps #s(literal 4/3 binary64)))
(fma.f64 #s(literal 17/9 binary64) (.f64 eps (.f64 eps eps)) (*.f64 eps #s(literal 4/3 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 17/9 binary64)) eps (*.f64 eps #s(literal 4/3 binary64)))
(fma.f64 #s(literal 4/3 binary64) eps (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 17/9 binary64)))
(fma.f64 (.f64 eps #s(literal 17/9 binary64)) (.f64 eps eps) (*.f64 eps #s(literal 4/3 binary64)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4913/729 binary64))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 64/27 binary64))) (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64)) (-.f64 (.f64 (.f64 eps #s(literal 4/3 binary64)) (.f64 eps #s(literal 4/3 binary64))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64)) (*.f64 eps #s(literal 4/3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64))) (.f64 (.f64 eps #s(literal 4/3 binary64)) (.f64 eps #s(literal 4/3 binary64)))) (-.f64 (.f64 (.f64 eps (.f64 eps eps)) #s(literal 17/9 binary64)) (.f64 eps #s(literal 4/3 binary64))))
(/.f64 (.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4913/729 binary64)) #s(literal 64/27 binary64))) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 289/81 binary64) (-.f64 #s(literal 16/9 binary64) (.f64 (*.f64 eps eps) #s(literal 68/27 binary64)))))
(/.f64 (.f64 eps (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 289/81 binary64) #s(literal -16/9 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 17/9 binary64) #s(literal -4/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 4913/729 binary64)) #s(literal 64/27 binary64)) eps) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 289/81 binary64) (-.f64 #s(literal 16/9 binary64) (.f64 (*.f64 eps eps) #s(literal 68/27 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 289/81 binary64) #s(literal -16/9 binary64)) eps) (fma.f64 (*.f64 eps eps) #s(literal 17/9 binary64) #s(literal -4/3 binary64)))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)))
(.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) eps)
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 1/3 binary64)) eps)
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64))) (.f64 x #s(literal 2/15 binary64)))
(+.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 x #s(literal 2/15 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 #s(literal 17/315 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 17/315 binary64)) x (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 #s(literal 2/15 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 17/315 binary64))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 17/315 binary64) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (.f64 x #s(literal 17/315 binary64)) (.f64 x x) (*.f64 x #s(literal 2/15 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64))) (-.f64 (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64))) (*.f64 x #s(literal 2/15 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64)))) (.f64 (.f64 x #s(literal 2/15 binary64)) (.f64 x #s(literal 2/15 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal 17/315 binary64))) (.f64 x #s(literal 2/15 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64)) #s(literal 8/3375 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64))) (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal -2/15 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 4913/31255875 binary64)) #s(literal 8/3375 binary64)) x) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) (-.f64 #s(literal 4/225 binary64) (.f64 (*.f64 x x) #s(literal 34/4725 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 289/99225 binary64) #s(literal -4/225 binary64)) x) (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal -2/15 binary64)))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))

simplify459.0ms (3%)

Memory

-5.2MiB live, 632.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 216×	`accelerator-lowering-fma.f32`
11 216×	`accelerator-lowering-fma.f64`
6 990×	`-lowering-.f32`
6 990×	`-lowering-.f64`
6 274×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	836	6700
1	2850	6515
0	8683	6009

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

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))))
(* 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))))
(* 1/120 (/ (pow eps 5) (* (cos x) (cos (+ eps x)))))
(* (pow eps 5) (- (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))
(* 1/120 (/ (pow eps 5) (* (cos x) (cos (- x (* -1 eps))))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))) (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* 1/120 (pow eps 5))
(* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(* 1/120 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
-1/6
(- (* 1/120 (pow eps 2)) 1/6)
(- (* 1/120 (pow eps 2)) 1/6)
(- (* 1/120 (pow eps 2)) 1/6)
(* 1/120 (pow eps 2))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* 1/120 (pow eps 2))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* eps x)
(* eps (+ x (* 1/3 eps)))
(* eps (+ x (* eps (+ 1/3 (* 2/3 (* eps x))))))
(* eps (+ x (* eps (+ 1/3 (* 2/3 (* eps x))))))
(* 2/3 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 2/3 x) (* 1/3 (/ 1 eps))))
(* (pow eps 3) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2)))))
(* (pow eps 3) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2)))))
(* 2/3 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (- (* -2/3 x) (* 1/3 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (/ x eps)) eps)) (* -2/3 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (/ x eps)) eps)) (* -2/3 x))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (+ (* 1/3 (/ (pow eps 2) x)) (* 2/3 (pow eps 3)))))
(* x (+ eps (+ (* 1/3 (/ (pow eps 2) x)) (* 2/3 (pow eps 3)))))
(* x (+ eps (+ (* 1/3 (/ (pow eps 2) x)) (* 2/3 (pow eps 3)))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* -1 (* x (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x)))))
eps
(* eps (+ 1 (* eps x)))
(* eps (+ 1 (* eps (+ x (* 1/3 eps)))))
(* eps (+ 1 (* eps (+ x (* eps (+ 1/3 (* 2/3 (* eps x))))))))
(* 2/3 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 2/3 x) (* 1/3 (/ 1 eps))))
(* (pow eps 4) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (/ x (pow eps 2)))))
(* (pow eps 4) (+ (* 2/3 x) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (/ x (pow eps 2))))))
(* 2/3 (* (pow eps 4) x))
(* (pow eps 4) (+ (* 2/3 x) (* 1/3 (/ 1 eps))))
(* (pow eps 4) (+ (* -1 (/ (- (* -1 (/ x eps)) 1/3) eps)) (* 2/3 x)))
(* (pow eps 4) (+ (* -1 (/ (- (* -1 (/ (+ x (/ 1 eps)) eps)) 1/3) eps)) (* 2/3 x)))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))
(* eps (* x (+ eps (* 2/3 (pow eps 3)))))
(* x (+ (* 1/3 (/ (pow eps 3) x)) (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (/ eps x))))
(* x (+ (* 1/3 (/ (pow eps 3) x)) (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (/ eps x))))
(* x (+ (* 1/3 (/ (pow eps 3) x)) (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (/ eps x))))
(* eps (* x (+ eps (* 2/3 (pow eps 3)))))
(* -1 (* x (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)))))
(* -1 (* x (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)))))
(* -1 (* x (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* x (+ eps (* 2/3 (pow eps 3))))
(* eps x)
(* eps (+ x (* 2/3 (* (pow eps 2) x))))
(* eps (+ x (* 2/3 (* (pow eps 2) x))))
(* eps (+ x (* 2/3 (* (pow eps 2) x))))
(* 2/3 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 2/3 x) (/ x (pow eps 2))))
(* (pow eps 3) (+ (* 2/3 x) (/ x (pow eps 2))))
(* (pow eps 3) (+ (* 2/3 x) (/ x (pow eps 2))))
(* 2/3 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ x (pow eps 2))) (* -2/3 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ x (pow eps 2))) (* -2/3 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ x (pow eps 2))) (* -2/3 x))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* 2/3 (pow eps 3)))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (* 4/3 (pow eps 2))))))))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 3) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2)))))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2))))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* 2/3 (/ (pow eps 3) x)) (+ (* 4/3 (pow eps 2)) (/ eps x)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (+ eps (* 2/3 (pow eps 3)))) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))
(* -1 (* (pow eps 3) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* x (- (* -4/3 (pow x 2)) 1))) eps)) (* 4/3 (pow x 2)))) eps)) (* x (- (* -17/9 (pow x 2)) 2/3)))))
(+ 1 (* 4/3 (pow eps 2)))
(+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))
(+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))
(+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* x (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* x (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* x (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* x (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* x (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
(* -1 (* x (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ 1 (* 4/3 (pow eps 2))) x)))))
1
(+ 1 (* 4/3 (* eps x)))
(+ 1 (* eps (+ (* 4/3 eps) (* 4/3 x))))
(+ 1 (* eps (+ (* 4/3 x) (* eps (+ 4/3 (* 17/9 (* eps x)))))))
(* 17/9 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 17/9 x) (* 4/3 (/ 1 eps))))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (+ (* 17/9 x) (* 4/3 (/ 1 eps)))))
(* (pow eps 3) (+ (* 4/3 (/ x (pow eps 2))) (+ (* 17/9 x) (+ (* 4/3 (/ 1 eps)) (/ 1 (pow eps 3))))))
(* 17/9 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (- (* -17/9 x) (* 4/3 (/ 1 eps)))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -1 (/ (+ 4/3 (* 4/3 (/ x eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -17/9 x) (* -1 (/ (+ 4/3 (* -1 (/ (- (* -4/3 x) (/ 1 eps)) eps))) eps)))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))
(* -1 (* (pow eps 4) (* x (- (* -17/9 (pow x 2)) 2/3))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (+ (* 4/3 (/ (pow x 2) eps)) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* -1 (* x (- (* -17/9 (pow x 2)) 2/3))) (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (/ (* x (- (* -4/3 (pow x 2)) 1)) eps)) eps))))
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(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* eps (* x (+ eps (* 2/3 (pow eps 3)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* eps (+ eps (* 2/3 (pow eps 3))))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (+ eps (* 2/3 (pow eps 3)))) (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* eps (+ eps (* 2/3 (pow eps 3)))) (pow x 2)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* eps (+ eps (* 2/3 (pow eps 3)))) (pow x 2)))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (* eps (+ eps (* 2/3 (pow eps 3)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* eps (+ eps (* 2/3 (pow eps 3))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))) x)))))
(+ eps (* 2/3 (pow eps 3)))
(+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (* 4/3 (pow eps 2))))))
(+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(+ eps (+ (* 2/3 (pow eps 3)) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2))))))))))
(* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2)))))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 3) (pow x 2))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ eps (pow x 2)))))))
(* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ (+ eps (* 2/3 (pow eps 3))) x))) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ (+ eps (* 2/3 (pow eps 3))) x))) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
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 (pow x 2)) (* eps (+ (* 4/3 x) (* eps (+ 2/3 (* 17/9 (pow x 2))))))))))
(* (pow eps 3) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (/ 1 (pow eps 2)))))))
(* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x (pow eps 3))))))))
(* -1 (* (pow eps 3) (- (* -17/9 (pow x 2)) 2/3)))
(* -1 (* (pow eps 3) (- (+ (* -17/9 (pow x 2)) (* -4/3 (/ x eps))) 2/3)))
(* -1 (* (pow eps 3) (- (+ (* -17/9 (pow x 2)) (* -1 (/ (+ (* -1 (/ (- (* -4/3 (pow x 2)) 1) eps)) (* 4/3 x)) eps))) 2/3)))
(* -1 (* (pow eps 3) (- (+ (* -17/9 (pow x 2)) (* -1 (/ (+ (* -1 (/ (- (+ (* -4/3 (pow x 2)) (* -1 (/ x eps))) 1) eps)) (* 4/3 x)) eps))) 2/3)))
(/ (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)))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315))
(* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))
(- (/ (sin x) (cos x)) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow 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))))) (/ (sin x) (cos x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (+ eps x)) (cos (+ eps x))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (+ x (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (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))))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (* 2/15 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/315 (+ (/ 1/3 (pow x 4)) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 17/315 (pow x 7))
(* (pow x 7) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 17/315)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(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))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 2/3 (pow eps 2))
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* eps (+ 4/3 (* 17/9 (pow eps 2))))
(* eps (+ 4/3 (* 17/9 (pow eps 2))))
(* eps (+ 4/3 (* 17/9 (pow eps 2))))
(* 17/9 (pow eps 3))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* 17/9 (pow eps 3))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 2/15 x)
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* 17/315 (pow x 3))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)

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))))
(*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.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 #s(literal 1 binary64) (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))))
(.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 (fma.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.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)) (.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))) (neg.f64 eps) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (/.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 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(* 1/120 (/ (pow eps 5) (* (cos x) (cos (+ eps x)))))
(/.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 5 binary64))) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(* (pow eps 5) (- (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (*.f64 eps eps)))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (*.f64 eps eps))))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 eps #s(literal 4 binary64)))) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (*.f64 eps eps))))))
(* 1/120 (/ (pow eps 5) (* (cos x) (cos (- x (* -1 eps))))))
(/.f64 (.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 5 binary64))) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))) (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (.f64 eps eps))) (-.f64 (/.f64 #s(literal -1/120 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 eps #s(literal 4 binary64)))))) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (.f64 eps eps))) (-.f64 (/.f64 #s(literal -1/120 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (pow.f64 eps #s(literal 4 binary64)))))) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(fma.f64 x (/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 eps)) (/.f64 eps (cos.f64 eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(fma.f64 x (fma.f64 x (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 eps))) (/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 eps)) (/.f64 eps (cos.f64 eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(fma.f64 x (fma.f64 x (neg.f64 (fma.f64 x (fma.f64 (sin.f64 eps) (/.f64 (neg.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 eps)))) (cos.f64 eps)) (fma.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (/.f64 (.f64 (sin.f64 eps) #s(literal 2/3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (sin.f64 eps)) (neg.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (neg.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 eps)))))) (/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (fma.f64 (.f64 eps (.f64 eps eps)) (/.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) (cos.f64 eps)) (/.f64 eps (cos.f64 eps))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* 1/120 (pow eps 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 eps eps))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 eps eps)))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 eps eps)))))
(* 1/120 (pow eps 5))
(*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal -1/120 binary64)) (neg.f64 (pow.f64 eps #s(literal 5 binary64))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
(neg.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
(neg.f64 (.f64 (pow.f64 eps #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 eps eps)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow eps 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64))
(- (* 1/120 (pow eps 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64))
(- (* 1/120 (pow eps 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64))
(* 1/120 (pow eps 2))
(.f64 #s(literal 1/120 binary64) (.f64 eps eps))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(* 1/120 (pow eps 2))
(.f64 #s(literal 1/120 binary64) (.f64 eps eps))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
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(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 17/9 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))))
(* 17/9 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 17/9 binary64))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 17/9 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 17/9 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))))
(* (pow eps 3) (+ 17/9 (* 4/3 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 17/9 binary64) (/.f64 #s(literal 4/3 binary64) (.f64 eps eps))))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(* x (+ 2/15 (* 17/315 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
(* 17/315 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 17/315 binary64))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* 17/315 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 17/315 binary64))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 3) (+ 17/315 (* 2/15 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))

eval242.0ms (1.6%)

Memory: 40.7MiB live, 346.6MiB allocated
Compiler: Compiled 67 723 to 3 484 computations (94.9% saved)

prune165.0ms (1.1%)

Memory

-49.0MiB live, 258.3MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 189	18	1 207
Fresh	8	2	10
Picked	2	3	5
Done	0	1	1
Total	1 199	24	1 223

Accuracy

100.0%

Counts

1 223 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps)
	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
▶	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
▶	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 2/3 binary64)))) x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 #s(literal 4/3 binary64) (.f64 x x)) x) (*.f64 x x)) eps)
	98.4%	(fma.f64 eps (.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -17/9 binary64) #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
▶	98.9%	(fma.f64 eps (*.f64 x x) eps)
	99.3%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
	99.2%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
	99.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
✓	100.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	98.4%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
	99.9%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	100.0%	(/.f64 (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	99.7%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	60.7%	(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
✓	60.6%	(-.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))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.9%	(+.f64 (+.f64 eps (.f64 eps (.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 eps x) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 eps (.f64 eps #s(literal 2/3 binary64))) eps))))) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64))))
▶	100.0%	(.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
	33.7%	(.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64) eps) (/.f64 (neg.f64 (fma.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 2/3 binary64) eps) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps) x))) x)) x))) (neg.f64 (.f64 x (*.f64 x x))))
✓	98.4%	eps

Compiler

Compiled 1 064 to 589 computations (44.6% saved)

simplify495.0ms (3.2%)

Memory

12.9MiB live, 534.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	cost-diff	0	(fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 2/3 binary64)))) x)
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 2/3 binary64)))) x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
✓	cost-diff	64	(fma.f64 x (fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 2/3 binary64)))) x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
✓	cost-diff	128	(+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 2/3 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
✓	cost-diff	0	(fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 eps (*.f64 x x) eps)
✓	cost-diff	0	(*.f64 eps #s(literal 1/120 binary64))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps)
✓	cost-diff	320	(.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))

Rules

14 940×	`accelerator-lowering-fma.f32`
14 940×	`accelerator-lowering-fma.f64`
4 988×	`-lowering-.f32`
4 988×	`-lowering-.f64`
2 968×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	399
1	165	397
2	490	397
3	1664	391
4	5380	391
5	6321	391
6	6957	391
7	7075	391
8	7075	391
9	7075	391
0	8076	352

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps) (/ 1 (* (cos x) (cos (+ eps x)))))
(+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps)
(+ (* eps (* eps 1/120)) -1/6)
eps
(* eps 1/120)
1/120
-1/6
(* eps (* eps eps))
(* eps eps)
(/ 1 (* (cos x) (cos (+ eps x))))
1
(* (cos x) (cos (+ eps x)))
(cos x)
x
(cos (+ eps x))
(+ eps x)
(+ (* eps (* x x)) eps)
eps
(* x x)
x
(+ (* eps (+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))) eps)
eps
(+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))
x
(+ (* eps (+ (* 4/3 (* x x)) 1)) x)
(+ (* 4/3 (* x x)) 1)
4/3
(* x x)
1
(* 1/3 (* eps eps))
1/3
(* eps eps)
(+ (* eps (+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))) eps)
eps
(+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))
x
(+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)
(+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))
(+ (* 4/3 (* x (+ eps x))) 1)
4/3
(* x (+ eps x))
(+ eps x)
1
(* (* eps eps) (+ (* 17/9 (* x x)) 2/3))
(* eps eps)
(+ (* 17/9 (* x x)) 2/3)
17/9
(* x x)
2/3
(* 1/3 (* eps eps))
1/3
(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* 1 (cos (+ x eps))))
(+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps)
(+ (* (* eps eps) 1/120) -1/6)
(* eps eps)
eps
1/120
-1/6
(* eps (* eps eps))
(* 1 (cos (+ x eps)))
1
(cos (+ x eps))
(+ x eps)
x

Outputs
(* (+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps) (/ 1 (* (cos x) (cos (+ eps x)))))
(/.f64 (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) eps)
(+ (* eps (* eps 1/120)) -1/6)
(fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
eps
(* eps 1/120)
(*.f64 eps #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(/ 1 (* (cos x) (cos (+ eps x))))
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
1
#s(literal 1 binary64)
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos x)
(cos.f64 x)
x
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(+ eps x)
(+.f64 eps x)
(+ (* eps (* x x)) eps)
(fma.f64 eps (*.f64 x x) eps)
eps
(* x x)
(*.f64 x x)
x
(+ (* eps (+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps #s(literal 1/3 binary64))) (*.f64 x x)) eps)
eps
(+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64)) (.f64 eps #s(literal 1/3 binary64))) (*.f64 x x))
x
(+ (* eps (+ (* 4/3 (* x x)) 1)) x)
(fma.f64 eps (fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64)) x)
(+ (* 4/3 (* x x)) 1)
(fma.f64 x (*.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))
4/3
#s(literal 4/3 binary64)
(* x x)
(*.f64 x x)
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)
(+ (* eps (+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))) eps)
(fma.f64 eps (fma.f64 x (.f64 (+.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) #s(literal 1 binary64))) (.f64 (.f64 eps eps) (fma.f64 x (.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)))) eps)
eps
(+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))
(fma.f64 x (.f64 (+.f64 eps x) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) #s(literal 1 binary64))) (.f64 (.f64 eps eps) (fma.f64 x (.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64))))
x
(+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)
(fma.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))) (fma.f64 x (*.f64 (+.f64 eps x) #s(literal 4/3 binary64)) #s(literal 1 binary64))) x)
(+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))) (fma.f64 x (*.f64 (+.f64 eps x) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(+ (* 4/3 (* x (+ eps x))) 1)
(fma.f64 x (*.f64 (+.f64 eps x) #s(literal 4/3 binary64)) #s(literal 1 binary64))
4/3
#s(literal 4/3 binary64)
(* x (+ eps x))
(*.f64 x (+.f64 eps x))
(+ eps x)
(+.f64 eps x)
1
#s(literal 1 binary64)
(* (* eps eps) (+ (* 17/9 (* x x)) 2/3))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* eps eps)
(*.f64 eps eps)
(+ (* 17/9 (* x x)) 2/3)
(fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))
17/9
#s(literal 17/9 binary64)
(* x x)
(*.f64 x x)
2/3
#s(literal 2/3 binary64)
(* 1/3 (* eps eps))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* 1 (cos (+ x eps))))
(/.f64 (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) eps) (cos.f64 (+.f64 eps x)))
(+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps)
(fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) eps)
(+ (* (* eps eps) 1/120) -1/6)
(fma.f64 eps (*.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(* eps eps)
(*.f64 eps eps)
eps
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
(* 1 (cos (+ x eps)))
(cos.f64 (+.f64 eps x))
1
#s(literal 1 binary64)
(cos (+ x eps))
(cos.f64 (+.f64 eps x))
(+ x eps)
(+.f64 eps x)
x

localize179.0ms (1.2%)

Memory

4.5MiB live, 279.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps)))
✓	accuracy	100.0%	(cos.f64 (+.f64 x eps))
✓	accuracy	100.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(fma.f64 x (fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 2/3 binary64)))) x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps)))
✓	accuracy	99.8%	(*.f64 x (+.f64 eps x))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	accuracy	100.0%	(fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
✓	accuracy	99.8%	(fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 x x) eps)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
✓	accuracy	100.0%	(.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(*.f64 eps #s(literal 1/120 binary64))

Samples

106.0ms	253×	0	valid
1.0ms	1×	3	valid
1.0ms	1×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 379 to 57 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 36.0ms (42.8% of total)

ival-add: 20.0ms (23.8% of total)

const: 17.0ms (20.2% of total)

ival-cos: 7.0ms (8.3% of total)

ival-div: 3.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (0.3%)

Memory

-16.8MiB live, 61.5MiB allocated

Counts

24 → 468

Calls

Call 1

Inputs
#<alt (* (+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps) (/ 1 (* (cos x) (cos (+ eps x)))))>
#<alt (+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps)>
#<alt (+ (* eps (* eps 1/120)) -1/6)>
#<alt (* eps 1/120)>
#<alt (+ (* eps (* x x)) eps)>
#<alt (* x x)>
#<alt (+ (* eps (+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))) eps)>
#<alt (+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))>
#<alt (+ (* eps (+ (* 4/3 (* x x)) 1)) x)>
#<alt (+ (* 4/3 (* x x)) 1)>
#<alt (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))>
#<alt (+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))>
#<alt (+ (* eps (+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))) eps)>
#<alt (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)>
#<alt (* 1 (cos (+ x eps)))>
#<alt (/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* 1 (cos (+ x eps))))>
#<alt (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps)>
#<alt (+ (* (* eps eps) 1/120) -1/6)>
#<alt (* eps (* eps eps))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (* 1/3 (* eps eps))>
#<alt (* (* eps eps) (+ (* 17/9 (* x x)) 2/3))>
#<alt (* x (+ eps x))>
#<alt (cos (+ x eps))>

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 (* 1/120 (/ (pow eps 5) (* (cos x) (cos (+ eps x)))))>
#<alt (* (pow eps 5) (- (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))))))>
#<alt (* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))>
#<alt (* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))>
#<alt (* 1/120 (/ (pow eps 5) (* (cos x) (cos (- x (* -1 eps))))))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))) (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))))))>
#<alt (* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))>
#<alt (* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))>
#<alt (+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* 1/120 (pow eps 5))>
#<alt (* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* 1/120 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (* 1/120 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* 1/120 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<alt (* 1/120 eps)>
#<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 (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* 1/3 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/3 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))>
#<alt (* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* 1/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)) 1/3)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))) eps)) 1/3)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))) eps)) 1/3)))>
#<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) (pow eps 2)))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* 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) (+ (* 1/3 (/ (pow eps 3) (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 (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x))) x)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps x)))>
#<alt (+ (* 1/3 (pow eps 2)) (* 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) (+ (* 1/3 (/ (pow eps 2) (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 (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x))) x)))))>
#<alt (pow x 2)>
#<alt (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))>
#<alt (* (pow eps 2) (+ 1/3 (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))>
#<alt (* (pow eps 2) (+ 1/3 (* -1 (/ (+ (* -1 (* x (+ 1 (* 4/3 (pow x 2))))) (* -1 (/ (pow x 2) eps))) eps))))>
#<alt (* (pow eps 2) (+ 1/3 (* -1 (/ (+ (* -1 (* x (+ 1 (* 4/3 (pow x 2))))) (* -1 (/ (pow x 2) eps))) eps))))>
#<alt x>
#<alt (+ x (* eps (+ 1 (* 4/3 (pow x 2)))))>
#<alt (+ x (* eps (+ 1 (* 4/3 (pow x 2)))))>
#<alt (+ x (* eps (+ 1 (* 4/3 (pow x 2)))))>
#<alt (* eps (+ 1 (* 4/3 (pow x 2))))>
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#<alt eps>
#<alt (+ eps x)>
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#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))>
#<alt 1>
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#<alt (* 4/3 (pow x 2))>
#<alt (* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))>
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#<alt (* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))>
#<alt (+ 1 (* 2/3 (pow eps 2)))>
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#<alt (+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))>
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#<alt (* (pow x 2) (+ 4/3 (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (/ eps x)) (+ (* 17/9 (pow eps 2)) (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (+ 4/3 (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (/ eps x)) (+ (* 17/9 (pow eps 2)) (/ 1 (pow x 2)))))))>
#<alt (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2))))>
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#<alt (* (pow x 2) (+ 4/3 (+ (* -1 (/ (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 2/3 (pow eps 2))) x))) x)) (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 2) (+ 4/3 (+ (* -1 (/ (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 2/3 (pow eps 2))) x))) x)) (* 17/9 (pow eps 2)))))>
#<alt (+ 1 (* 4/3 (pow x 2)))>
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#<alt (+ 1 (+ (* 4/3 (pow x 2)) (* eps (+ (* 4/3 x) (* eps (+ 2/3 (* 17/9 (pow x 2))))))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (/ 1 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (/ 1 (pow eps 2)))))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 2) (+ 2/3 (+ (* -1 (/ (+ (* -4/3 x) (* -1 (/ (+ 1 (* 4/3 (pow x 2))) eps))) eps)) (* 17/9 (pow x 2)))))>
#<alt (* (pow eps 2) (+ 2/3 (+ (* -1 (/ (+ (* -4/3 x) (* -1 (/ (+ 1 (* 4/3 (pow x 2))) eps))) eps)) (* 17/9 (pow x 2)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))>
#<alt (* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (- (+ (* -4/3 (/ (pow eps 2) x)) (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2)))))) (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x))) x)))))>
#<alt (pow x 2)>
#<alt (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))>
#<alt (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))>
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#<alt (* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (* x (+ 2/3 (* 17/9 (pow x 2))))) (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* 4/3 (pow x 2))))) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))) eps)))))>
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#<alt (* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))>
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#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))>
#<alt (* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))>
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#<alt (* (pow eps 4) (+ (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))) eps))) eps)) (* x (+ 2/3 (* 17/9 (pow x 2))))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
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#<alt (* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))>
#<alt (* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))>
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#<alt (* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x))) x)))))>
#<alt x>
#<alt (+ x (* eps (+ 1 (* 4/3 (pow x 2)))))>
#<alt (+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))>
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#<alt (* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x (pow eps 3))))))))>
#<alt (* (pow eps 3) (+ 2/3 (* 17/9 (pow x 2))))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 2/3 (* 17/9 (pow x 2)))) (* -1 (/ (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 2/3 (* 17/9 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow x 2)))) (* -1 (/ x eps))) eps)) (* 4/3 x)) eps)))))>
#<alt (* eps (+ 1 (* 2/3 (pow eps 2))))>
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#<alt (* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))>
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#<alt (* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))>
#<alt (* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -4/3 (pow eps 2)) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -4/3 (pow eps 2)) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (+ (* -4/3 (pow eps 2)) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
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#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (/ eps (cos x))>
#<alt (* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))>
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))>
#<alt (* 1/120 (/ (pow eps 5) (cos (+ eps x))))>
#<alt (* (pow eps 5) (- (* 1/120 (/ 1 (cos (+ eps x)))) (* 1/6 (/ 1 (* (pow eps 2) (cos (+ eps x)))))))>
#<alt (* (pow eps 5) (- (+ (* 1/120 (/ 1 (cos (+ eps x)))) (/ 1 (* (pow eps 4) (cos (+ eps x))))) (/ 1/6 (* (pow eps 2) (cos (+ eps x))))))>
#<alt (* (pow eps 5) (- (+ (* 1/120 (/ 1 (cos (+ eps x)))) (/ 1 (* (pow eps 4) (cos (+ eps x))))) (/ 1/6 (* (pow eps 2) (cos (+ eps x))))))>
#<alt (* 1/120 (/ (pow eps 5) (cos (- x (* -1 eps)))))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (* (pow eps 2) (cos (- x (* -1 eps)))))) (* 1/120 (/ 1 (cos (- x (* -1 eps))))))))>
#<alt (* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (cos (- x (* -1 eps))))) (+ (* 1/120 (/ 1 (cos (- x (* -1 eps))))) (/ 1 (* (pow eps 4) (cos (- x (* -1 eps)))))))))>
#<alt (* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (cos (- x (* -1 eps))))) (+ (* 1/120 (/ 1 (cos (- x (* -1 eps))))) (/ 1 (* (pow eps 4) (cos (- x (* -1 eps)))))))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))>
#<alt (+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (+ (* 1/6 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* 1/120 (pow eps 5))>
#<alt (* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* 1/120 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (- (* 1/120 (pow eps 2)) 1/6)>
#<alt (* 1/120 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* 1/120 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (/ 1 (cos eps))>
#<alt (+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* x (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))>
#<alt (+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (sin eps) (pow (cos eps) 2))) (+ (* -1 (/ (* (sin eps) (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* 1/6 (/ (sin eps) (pow (cos eps) 2))) (* 1/2 (/ (sin eps) (pow (cos eps) 2)))))))) (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ 1 (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ 1 (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ 1 (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ 1 (pow (cos x) 2))>
#<alt (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))>
#<alt (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))>
#<alt (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (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 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (+ eps x))))>
#<alt (/ 1 (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ 1 (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ 1 (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (/ 1 (* (cos x) (cos (- x (* -1 eps)))))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))>
#<alt (* 2/3 (pow eps 2))>
#<alt (+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))>
#<alt (* 17/9 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* 17/9 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))>
#<alt (* eps x)>
#<alt (* x (+ eps x))>
#<alt (* x (+ eps x))>
#<alt (* x (+ eps x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ eps x)))>
#<alt (* (pow x 2) (+ 1 (/ eps x)))>
#<alt (* (pow x 2) (+ 1 (/ eps x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ eps x)))>
#<alt (* (pow x 2) (+ 1 (/ eps x)))>
#<alt (* (pow x 2) (+ 1 (/ eps x)))>
#<alt (pow x 2)>
#<alt (+ (* eps x) (pow x 2))>
#<alt (+ (* eps x) (pow x 2))>
#<alt (+ (* eps x) (pow x 2))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ (pow x 2) eps)))>
#<alt (* eps (+ x (/ (pow x 2) eps)))>
#<alt (* eps (+ x (/ (pow x 2) eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>

Calls

117 calls:

Time	Variable		Point	Expression
18.0ms	eps	@	0	(* eps 1/120)
3.0ms	x	@	inf	(* (* eps eps) (+ (* 17/9 (* x x)) 2/3))
1.0ms	x	@	0	(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* 1 (cos (+ x eps))))
1.0ms	eps	@	0	(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* 1 (cos (+ x eps))))
1.0ms	x	@	0	(/ 1 (* (cos x) (cos (+ eps x))))

rewrite476.0ms (3.1%)

Memory

24.4MiB live, 651.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 676×	`-lowering-.f32`
4 676×	`-lowering-.f64`
4 576×	`accelerator-lowering-fma.f32`
4 576×	`accelerator-lowering-fma.f64`
3 314×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	309
1	383	309
2	3269	309
0	8420	269

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 840

Calls

Call 1

Inputs
(* (+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps) (/ 1 (* (cos x) (cos (+ eps x)))))
(+ (* (+ (* eps (* eps 1/120)) -1/6) (* eps (* eps eps))) eps)
(+ (* eps (* eps 1/120)) -1/6)
(* eps 1/120)
(+ (* eps (* x x)) eps)
(* x x)
(+ (* eps (+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))) eps)
(+ (* x (+ (* eps (+ (* 4/3 (* x x)) 1)) x)) (* 1/3 (* eps eps)))
(+ (* eps (+ (* 4/3 (* x x)) 1)) x)
(+ (* 4/3 (* x x)) 1)
(+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))
(+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))
(+ (* eps (+ (* x (+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)) (* 1/3 (* eps eps)))) eps)
(+ (* eps (+ (+ (* 4/3 (* x (+ eps x))) 1) (* (* eps eps) (+ (* 17/9 (* x x)) 2/3)))) x)
(* 1 (cos (+ x eps)))
(/ (+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps) (* 1 (cos (+ x eps))))
(+ (* (+ (* (* eps eps) 1/120) -1/6) (* eps (* eps eps))) eps)
(+ (* (* eps eps) 1/120) -1/6)
(* eps (* eps eps))
(/ 1 (* (cos x) (cos (+ eps x))))
(* 1/3 (* eps eps))
(* (* eps eps) (+ (* 17/9 (* x x)) 2/3))
(* x (+ eps x))
(cos (+ x eps))

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

simplify463.0ms (3%)

Memory

18.9MiB live, 736.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 584×	`accelerator-lowering-fma.f32`
11 584×	`accelerator-lowering-fma.f64`
6 884×	`-lowering-.f32`
6 884×	`-lowering-.f64`
6 414×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	826	7399
1	2818	7100
0	8733	6553

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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))))
(* 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))))
(* 1/120 (/ (pow eps 5) (* (cos x) (cos (+ eps x)))))
(* (pow eps 5) (- (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x))))))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))) (/ 1/6 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))))
(* 1/120 (/ (pow eps 5) (* (cos x) (cos (- x (* -1 eps))))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))) (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (+ (* 1/120 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps))))))))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* 1/120 (pow eps 5))
(* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(* 1/120 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
-1/6
(- (* 1/120 (pow eps 2)) 1/6)
(- (* 1/120 (pow eps 2)) 1/6)
(- (* 1/120 (pow eps 2)) 1/6)
(* 1/120 (pow eps 2))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* 1/120 (pow eps 2))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* 1/120 eps)
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (pow x 2)))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
(* -1 (* eps (- (* -1 (pow x 2)) 1)))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* eps (pow x 2)))
(+ eps (* eps (pow x 2)))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* eps (pow x 2))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(* (pow x 2) (+ eps (/ eps (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))
(* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2))))))
(* 1/3 (pow eps 3))
(* -1 (* (pow eps 3) (- (* -1 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)) 1/3)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))) eps)) 1/3)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))) eps)) 1/3)))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps x) (pow eps 2)))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ eps (* 4/3 (* (pow eps 2) x)))) (pow eps 2)))))
(* 4/3 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* 4/3 (pow eps 2)) (/ eps x)))
(* (pow x 3) (+ (* 4/3 (pow eps 2)) (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* 4/3 (pow eps 2)) (+ (/ eps x) (+ (/ eps (pow x 3)) (/ (pow eps 2) (pow x 2)))))))
(* 4/3 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ eps x)))))
(* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ eps (/ (pow eps 2) x)) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 (pow eps 2)) (* -1 (/ (+ eps (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x))) x)))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps x))
(+ (* 1/3 (pow eps 2)) (* x (+ eps x)))
(+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (* eps x)))))))
(* 4/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 3) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2))))))
(* 4/3 (* eps (pow x 3)))
(* -1 (* (pow x 3) (- (* -4/3 eps) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (/ eps x)) x)))))
(* -1 (* (pow x 3) (+ (* -4/3 eps) (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x))) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(+ (* eps (+ (* 1/3 eps) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))
(* (pow eps 2) (+ 1/3 (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))
(* (pow eps 2) (+ 1/3 (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps) (/ (pow x 2) (pow eps 2)))))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps)))
(* (pow eps 2) (+ 1/3 (* -1 (/ (+ (* -1 (* x (+ 1 (* 4/3 (pow x 2))))) (* -1 (/ (pow x 2) eps))) eps))))
(* (pow eps 2) (+ 1/3 (* -1 (/ (+ (* -1 (* x (+ 1 (* 4/3 (pow x 2))))) (* -1 (/ (pow x 2) eps))) eps))))
x
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(* eps (+ 1 (* 4/3 (pow x 2))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* eps (+ 1 (+ (* 4/3 (pow x 2)) (/ x eps))))
(* eps (+ 1 (* 4/3 (pow x 2))))
(* -1 (* eps (+ (* -1 (+ 1 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 (+ 1 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 (+ 1 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))
eps
(+ eps x)
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(+ eps (* x (+ 1 (* 4/3 (* eps x)))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 2) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* 4/3 eps) (+ (/ 1 x) (/ eps (pow x 2)))))
(* 4/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* 4/3 eps) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ eps x)) 1) x)) (* 4/3 eps)))
1
(+ 1 (* 4/3 (pow x 2)))
(+ 1 (* 4/3 (pow x 2)))
(+ 1 (* 4/3 (pow x 2)))
(* 4/3 (pow x 2))
(* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))
(* 4/3 (pow x 2))
(* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 4/3 (/ 1 (pow x 2))))
(+ 1 (* 2/3 (pow eps 2)))
(+ 1 (+ (* 2/3 (pow eps 2)) (* 4/3 (* eps x))))
(+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))
(+ 1 (+ (* 2/3 (pow eps 2)) (* x (+ (* 4/3 eps) (* x (+ 4/3 (* 17/9 (pow eps 2))))))))
(* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2))))
(* (pow x 2) (+ 4/3 (+ (* 4/3 (/ eps x)) (* 17/9 (pow eps 2)))))
(* (pow x 2) (+ 4/3 (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (/ eps x)) (+ (* 17/9 (pow eps 2)) (/ 1 (pow x 2)))))))
(* (pow x 2) (+ 4/3 (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (/ eps x)) (+ (* 17/9 (pow eps 2)) (/ 1 (pow x 2)))))))
(* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2))))
(* (pow x 2) (+ 4/3 (+ (* 4/3 (/ eps x)) (* 17/9 (pow eps 2)))))
(* (pow x 2) (+ 4/3 (+ (* -1 (/ (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 2/3 (pow eps 2))) x))) x)) (* 17/9 (pow eps 2)))))
(* (pow x 2) (+ 4/3 (+ (* -1 (/ (+ (* -4/3 eps) (* -1 (/ (+ 1 (* 2/3 (pow eps 2))) x))) x)) (* 17/9 (pow eps 2)))))
(+ 1 (* 4/3 (pow x 2)))
(+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))
(+ 1 (+ (* 4/3 (pow x 2)) (* eps (+ (* 4/3 x) (* eps (+ 2/3 (* 17/9 (pow x 2))))))))
(+ 1 (+ (* 4/3 (pow x 2)) (* eps (+ (* 4/3 x) (* eps (+ 2/3 (* 17/9 (pow x 2))))))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))
(* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (/ 1 (pow eps 2)))))))
(* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (/ 1 (pow eps 2)))))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))
(* (pow eps 2) (+ 2/3 (+ (* -1 (/ (+ (* -4/3 x) (* -1 (/ (+ 1 (* 4/3 (pow x 2))) eps))) eps)) (* 17/9 (pow x 2)))))
(* (pow eps 2) (+ 2/3 (+ (* -1 (/ (+ (* -4/3 x) (* -1 (/ (+ 1 (* 4/3 (pow x 2))) eps))) eps)) (* 17/9 (pow x 2)))))
(* 1/3 (pow eps 2))
(+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))))
(+ (* 1/3 (pow eps 2)) (* x (+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 3) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 2) (pow x 3))) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))
(* eps (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (- (+ (* -4/3 (/ (pow eps 2) x)) (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2)))))) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* eps (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (- (* -4/3 (pow eps 2)) 1)) (* -1 (/ (+ (* -1 (* eps (+ 1 (* 2/3 (pow eps 2))))) (* -1/3 (/ (pow eps 2) x))) x))) x)))))
(pow x 2)
(+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 3) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3)))))))
(* (pow eps 3) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (* x (+ 2/3 (* 17/9 (pow x 2))))) (* -1 (/ (+ 1/3 (* 4/3 (pow x 2))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (* x (+ 2/3 (* 17/9 (pow x 2))))) (* -1 (/ (+ 1/3 (+ (* 4/3 (pow x 2)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (* x (+ 2/3 (* 17/9 (pow x 2))))) (* -1 (/ (+ 1/3 (+ (* -1 (/ (+ (* -1 (* x (+ 1 (* 4/3 (pow x 2))))) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))) eps)))))
(* eps (+ 1 (pow x 2)))
(* eps (+ 1 (+ (* eps (* x (+ 1 (* 4/3 (pow x 2))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (* 4/3 (pow x 2)))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* eps (+ 1 (+ (* eps (+ (* eps (+ 1/3 (+ (* 4/3 (pow x 2)) (* eps (* x (+ 2/3 (* 17/9 (pow x 2)))))))) (* x (+ 1 (* 4/3 (pow x 2)))))) (pow x 2))))
(* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2))))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (+ (* 1/3 (/ 1 eps)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* 4/3 (pow x 2)))) (pow eps 2)) (/ (pow x 2) (pow eps 3))))))))
(* (pow eps 4) (* x (+ 2/3 (* 17/9 (pow x 2)))))
(* (pow eps 4) (+ (* 4/3 (/ (pow x 2) eps)) (+ (* x (+ 2/3 (* 17/9 (pow x 2)))) (* 1/3 (/ 1 eps)))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (* x (+ 1 (* 4/3 (pow x 2)))) eps))) eps)) (* x (+ 2/3 (* 17/9 (pow x 2))))))
(* (pow eps 4) (+ (* -1 (/ (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (- (* -1 (pow x 2)) 1) eps)) (* x (+ 1 (* 4/3 (pow x 2))))) eps))) eps)) (* x (+ 2/3 (* 17/9 (pow x 2))))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) (* x (+ 1 (* 2/3 (pow eps 2)))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (* (pow eps 2) (* x (+ 4/3 (* 17/9 (pow eps 2))))))) (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))
(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))
(* (pow x 3) (+ (* 1/3 (/ (pow eps 3) (pow x 3))) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ eps (pow x 3)) (+ (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) (pow x 2)))))))
(* (pow eps 2) (* (pow x 3) (+ 4/3 (* 17/9 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (/ (* eps (- (* -4/3 (pow eps 2)) 1)) x))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (/ (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2)))) x)) x)))))
(* -1 (* (pow x 3) (+ (* -1 (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2))))) (* -1 (/ (+ (* -1 (* eps (- (* -4/3 (pow eps 2)) 1))) (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))) (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x))) x))) x)))))
x
(+ x (* eps (+ 1 (* 4/3 (pow x 2)))))
(+ x (* eps (+ 1 (+ (* 4/3 (* eps x)) (* 4/3 (pow x 2))))))
(+ x (* eps (+ 1 (+ (* 4/3 (pow x 2)) (* eps (+ (* 4/3 x) (* eps (+ 2/3 (* 17/9 (pow x 2))))))))))
(* (pow eps 3) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))
(* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (/ 1 (pow eps 2)))))))
(* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (+ (* 4/3 (/ (pow x 2) (pow eps 2))) (+ (* 17/9 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ x (pow eps 3))))))))
(* (pow eps 3) (+ 2/3 (* 17/9 (pow x 2))))
(* -1 (* (pow eps 3) (+ (* -4/3 (/ x eps)) (* -1 (+ 2/3 (* 17/9 (pow x 2)))))))
(* -1 (* (pow eps 3) (+ (* -1 (+ 2/3 (* 17/9 (pow x 2)))) (* -1 (/ (+ (* 4/3 x) (+ (* 4/3 (/ (pow x 2) eps)) (/ 1 eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (+ 2/3 (* 17/9 (pow x 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ 1 (* 4/3 (pow x 2)))) (* -1 (/ x eps))) eps)) (* 4/3 x)) eps)))))
(* eps (+ 1 (* 2/3 (pow eps 2))))
(+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))
(+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))
(+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))
(* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
(* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -4/3 (pow eps 2)) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
(* (pow x 2) (+ (* -1 (/ (- (+ (* -4/3 (pow eps 2)) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
(* (pow x 2) (+ (* -1 (/ (- (+ (* -4/3 (pow eps 2)) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(/ eps (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* 1/120 (/ (pow eps 5) (cos (+ eps x))))
(* (pow eps 5) (- (* 1/120 (/ 1 (cos (+ eps x)))) (* 1/6 (/ 1 (* (pow eps 2) (cos (+ eps x)))))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (cos (+ eps x)))) (/ 1 (* (pow eps 4) (cos (+ eps x))))) (/ 1/6 (* (pow eps 2) (cos (+ eps x))))))
(* (pow eps 5) (- (+ (* 1/120 (/ 1 (cos (+ eps x)))) (/ 1 (* (pow eps 4) (cos (+ eps x))))) (/ 1/6 (* (pow eps 2) (cos (+ eps x))))))
(* 1/120 (/ (pow eps 5) (cos (- x (* -1 eps)))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (* (pow eps 2) (cos (- x (* -1 eps)))))) (* 1/120 (/ 1 (cos (- x (* -1 eps))))))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (cos (- x (* -1 eps))))) (+ (* 1/120 (/ 1 (cos (- x (* -1 eps))))) (/ 1 (* (pow eps 4) (cos (- x (* -1 eps)))))))))
(* -1 (* (pow eps 5) (- (/ 1/6 (* (pow eps 2) (cos (- x (* -1 eps))))) (+ (* 1/120 (/ 1 (cos (- x (* -1 eps))))) (/ 1 (* (pow eps 4) (cos (- x (* -1 eps)))))))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (+ (* 1/6 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6)) (cos eps))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))
(/ (+ eps (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))) (cos (- eps (* -1 x))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* 1/120 (pow eps 5))
(* (pow eps 5) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 1/120 (/ 1 (pow eps 4))) (* 1/6 (/ 1 (pow eps 2)))))
(* 1/120 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) 1/120)))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 1/6 (/ 1 (pow eps 2))) (+ 1/120 (/ 1 (pow eps 4))))))
-1/6
(- (* 1/120 (pow eps 2)) 1/6)
(- (* 1/120 (pow eps 2)) 1/6)
(- (* 1/120 (pow eps 2)) 1/6)
(* 1/120 (pow eps 2))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* 1/120 (pow eps 2))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/120 (* 1/6 (/ 1 (pow eps 2)))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(/ 1 (cos eps))
(+ (/ 1 (cos eps)) (/ (* x (sin eps)) (pow (cos eps) 2)))
(+ (* x (- (* x (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(+ (* x (- (* x (- (+ (* -1 (* x (+ (* -1 (/ (sin eps) (pow (cos eps) 2))) (+ (* -1 (/ (* (sin eps) (- (/ 1 (cos eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (cos eps))) (+ (* 1/6 (/ (sin eps) (pow (cos eps) 2))) (* 1/2 (/ (sin eps) (pow (cos eps) 2)))))))) (/ 1 (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 3))))) (* -1 (/ (sin eps) (pow (cos eps) 2))))) (/ 1 (cos eps)))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (- eps (* -1 x)))))
(/ 1 (* (cos x) (cos (- eps (* -1 x)))))
(/ 1 (* (cos x) (cos (- eps (* -1 x)))))
(/ 1 (* (cos x) (cos (- eps (* -1 x)))))
(/ 1 (pow (cos x) 2))
(+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))
(+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))))) (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 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2)))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (+ eps x))))
(/ 1 (* (cos x) (cos (- x (* -1 eps)))))
(/ 1 (* (cos x) (cos (- x (* -1 eps)))))
(/ 1 (* (cos x) (cos (- x (* -1 eps)))))
(/ 1 (* (cos x) (cos (- x (* -1 eps)))))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(* 2/3 (pow eps 2))
(+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))
(+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))
(+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))
(* 17/9 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* 17/9 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(* eps x)
(* x (+ eps x))
(* x (+ eps x))
(* x (+ eps x))
(pow x 2)
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (/ eps x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (/ eps x)))
(* (pow x 2) (+ 1 (/ eps x)))
(pow x 2)
(+ (* eps x) (pow x 2))
(+ (* eps x) (pow x 2))
(+ (* eps x) (pow x 2))
(* eps x)
(* eps (+ x (/ (pow x 2) eps)))
(* eps (+ x (/ (pow x 2) eps)))
(* eps (+ x (/ (pow x 2) eps)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(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)))

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))))
(*.f64 eps (fma.f64 eps (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (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))))
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(* (pow x 3) (+ (* (pow eps 2) (+ 4/3 (* 17/9 (pow eps 2)))) (/ (* eps (+ 1 (* 4/3 (pow eps 2)))) x)))
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(* (pow eps 3) (+ 2/3 (* 17/9 (pow x 2))))
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(* (pow eps 3) (+ 2/3 (+ (* 4/3 (/ x eps)) (* 17/9 (pow x 2)))))
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(+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (* 4/3 (pow eps 2)))))
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(+ (* eps (+ 1 (* 2/3 (pow eps 2)))) (* x (+ 1 (+ (* 4/3 (pow eps 2)) (* eps (* x (+ 4/3 (* 17/9 (pow eps 2)))))))))
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(* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))
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(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (/ 1 x))))
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(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
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(* (pow x 2) (+ (* 4/3 (/ (pow eps 2) x)) (+ (* eps (+ 4/3 (* 17/9 (pow eps 2)))) (+ (/ 1 x) (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) (pow x 2))))))
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(* eps (* (pow x 2) (+ 4/3 (* 17/9 (pow eps 2)))))
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(* (pow x 2) (+ (* -1 (/ (- (* -4/3 (pow eps 2)) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
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(* (pow x 2) (+ (* -1 (/ (- (+ (* -4/3 (pow eps 2)) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
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(* (pow x 2) (+ (* -1 (/ (- (+ (* -4/3 (pow eps 2)) (* -1 (/ (* eps (+ 1 (* 2/3 (pow eps 2)))) x))) 1) x)) (* eps (+ 4/3 (* 17/9 (pow eps 2))))))
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(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
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(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
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(cos (+ eps x))
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(cos (+ eps x))
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(cos (+ eps x))
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(cos (- eps (* -1 x)))
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(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)
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(cos (+ eps x))
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(cos (- x (* -1 eps)))
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(/ eps (cos x))
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(* (pow eps 5) (- (* 1/120 (/ 1 (cos (+ eps x)))) (* 1/6 (/ 1 (* (pow eps 2) (cos (+ eps x)))))))
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(* (pow eps 5) (- (+ (* 1/120 (/ 1 (cos (+ eps x)))) (/ 1 (* (pow eps 4) (cos (+ eps x))))) (/ 1/6 (* (pow eps 2) (cos (+ eps x))))))
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(* 1/120 (/ (pow eps 5) (cos (- x (* -1 eps)))))
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(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* 1/3 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 1/3 binary64)))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* (pow eps 2) (+ 2/3 (* 17/9 (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* 2/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 2/3 binary64))
(+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(+ (* 2/3 (pow eps 2)) (* 17/9 (* (pow eps 2) (pow x 2))))
(.f64 eps (.f64 eps (fma.f64 (*.f64 x x) #s(literal 17/9 binary64) #s(literal 2/3 binary64))))
(* 17/9 (* (pow eps 2) (pow x 2)))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal 17/9 binary64)))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 x x))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 x x))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 x x))))
(* 17/9 (* (pow eps 2) (pow x 2)))
(.f64 (.f64 eps eps) (.f64 (.f64 x x) #s(literal 17/9 binary64)))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 x x))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 x x))))
(* (pow x 2) (+ (* 2/3 (/ (pow eps 2) (pow x 2))) (* 17/9 (pow eps 2))))
(.f64 (.f64 x x) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) (/.f64 (.f64 (.f64 eps eps) #s(literal 2/3 binary64)) (.f64 x x))))
(* eps x)
(*.f64 eps x)
(* x (+ eps x))
(*.f64 x (+.f64 eps x))
(* x (+ eps x))
(*.f64 x (+.f64 eps x))
(* x (+ eps x))
(*.f64 x (+.f64 eps x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ eps x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) x)
(* (pow x 2) (+ 1 (/ eps x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) x)
(* (pow x 2) (+ 1 (/ eps x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ eps x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) x)
(* (pow x 2) (+ 1 (/ eps x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) x)
(* (pow x 2) (+ 1 (/ eps x)))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x) x)
(pow x 2)
(*.f64 x x)
(+ (* eps x) (pow x 2))
(*.f64 x (+.f64 eps x))
(+ (* eps x) (pow x 2))
(*.f64 x (+.f64 eps x))
(+ (* eps x) (pow x 2))
(*.f64 x (+.f64 eps x))
(* eps x)
(*.f64 eps x)
(* eps (+ x (/ (pow x 2) eps)))
(.f64 eps (+.f64 x (/.f64 (.f64 x x) eps)))
(* eps (+ x (/ (pow x 2) eps)))
(.f64 eps (+.f64 x (/.f64 (.f64 x x) eps)))
(* eps (+ x (/ (pow x 2) eps)))
(.f64 eps (+.f64 x (/.f64 (.f64 x x) eps)))
(* eps x)
(*.f64 eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(.f64 eps (+.f64 x (/.f64 (.f64 x x) eps)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(.f64 eps (+.f64 x (/.f64 (.f64 x x) eps)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (pow x 2) eps)))))
(.f64 eps (+.f64 x (/.f64 (.f64 x x) eps)))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 x (-.f64 (.f64 x (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) (sin.f64 eps)) (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps)) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps)))) (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 (cos.f64 x) #s(literal -1/2 binary64))) (sin.f64 x)) (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 eps (sin.f64 x)) #s(literal 1/6 binary64) (.f64 (cos.f64 x) #s(literal -1/2 binary64))) (neg.f64 (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))

eval247.0ms (1.6%)

Memory: -5.7MiB live, 381.0MiB allocated
Compiler: Compiled 64 100 to 3 981 computations (93.8% saved)

prune205.0ms (1.3%)

Memory

-23.4MiB live, 465.8MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1 373	9	1 382
Fresh	4	11	15
Picked	3	2	5
Done	0	4	4
Total	1 380	26	1 406

Accuracy

100.0%

Counts

1 406 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f64 (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x #s(literal 17/9 binary64)) #s(literal 2/3 binary64)) (fma.f64 (+.f64 eps x) (.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))) x) (.f64 eps (*.f64 eps #s(literal 1/3 binary64)))) eps eps)
	98.4%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps)
	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 x (fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	98.9%	(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x #s(literal 4/3 binary64)) (.f64 x x) x) (*.f64 x x)) eps)
	98.4%	(fma.f64 eps (.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -17/9 binary64) #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
✓	98.9%	(fma.f64 eps (*.f64 x x) eps)
	99.3%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
	99.2%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
	99.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
✓	100.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.9%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	100.0%	(/.f64 (/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 eps (*.f64 eps eps)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	99.7%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	98.4%	(/.f64 eps (cos.f64 x))
	60.7%	(-.f64 (-.f64 (tan.f64 (+.f64 eps x)) x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
✓	60.6%	(-.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))
✓	61.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.9%	(+.f64 (+.f64 eps (.f64 eps (.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x #s(literal 17/9 binary64)) #s(literal 2/3 binary64)) (fma.f64 (+.f64 eps x) (.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))) x)))) (.f64 eps (.f64 eps (.f64 eps #s(literal 1/3 binary64)))))
	33.7%	(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -4/3 binary64)) (/.f64 (-.f64 eps (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps) x))) x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
	52.8%	(.f64 (.f64 (fma.f64 eps (.f64 x x) eps) (-.f64 (.f64 eps (.f64 x x)) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (*.f64 x x)) eps)))
	54.3%	(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
✓	98.4%	eps

Compiler

Compiled 1 900 to 594 computations (68.7% saved)

regimes71.0ms (0.5%)

Memory

17.4MiB live, 94.8MiB allocated

Counts

61 → 1

Calls

Call 1

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

Calls

3 calls:

36.0ms	eps
17.0ms	x
16.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes117.0ms (0.8%)

Memory

7.3MiB live, 45.5MiB allocated

Counts

44 → 1

Calls

Call 1

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

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:

92.0ms	eps
12.0ms	x
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes39.0ms (0.2%)

Memory

-1.4MiB live, 38.7MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
11.0ms	eps
11.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (0.2%)

Memory

-2.2MiB live, 74.4MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes34.0ms (0.2%)

Memory

-17.9MiB live, 63.7MiB allocated

Counts

36 → 1

Calls

Call 1

Inputs
eps
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps eps) (.f64 (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps) eps)
(.f64 (.f64 x x) (+.f64 eps (/.f64 eps (*.f64 x x))))
(fma.f64 eps (fma.f64 eps (fma.f64 x (.f64 #s(literal 4/3 binary64) (.f64 x x)) x) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 x #s(literal 4/3 binary64)) (.f64 x x) x) (*.f64 x x)) eps)
(fma.f64 eps (fma.f64 #s(literal 1/3 binary64) (.f64 eps eps) (.f64 x (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps))) eps)
(fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) (.f64 eps (.f64 eps eps)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x x) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) #s(literal 2/3 binary64))) x) (.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)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (.f64 (fma.f64 eps (.f64 x x) eps) (-.f64 (.f64 eps (.f64 x x)) eps)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 eps (*.f64 x x)) eps)))
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 #s(literal 4/3 binary64) (+.f64 eps x)) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (.f64 (fma.f64 x (fma.f64 (.f64 x x) #s(literal -17/9 binary64) #s(literal -2/3 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -4/3 binary64) #s(literal -1/3 binary64)) eps)) (neg.f64 (.f64 eps (*.f64 eps eps)))) eps)
(fma.f64 (fma.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x #s(literal 17/9 binary64)) #s(literal 2/3 binary64)) (fma.f64 (+.f64 eps x) (.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))) x) (.f64 eps (*.f64 eps #s(literal 1/3 binary64)))) eps eps)
(fma.f64 eps (fma.f64 x (fma.f64 eps (+.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 x (+.f64 eps x)) #s(literal 1 binary64)) (.f64 (.f64 eps eps) (fma.f64 #s(literal 17/9 binary64) (.f64 x x) #s(literal 2/3 binary64)))) x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(+.f64 (+.f64 eps (.f64 eps (.f64 x (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 x (.f64 x #s(literal 17/9 binary64)) #s(literal 2/3 binary64)) (fma.f64 (+.f64 eps x) (.f64 x #s(literal 4/3 binary64)) #s(literal 1 binary64))) x)))) (.f64 eps (.f64 eps (.f64 eps #s(literal 1/3 binary64)))))
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 x (.f64 eps (fma.f64 #s(literal 17/9 binary64) (.f64 eps eps) #s(literal 4/3 binary64))) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(+.f64 (+.f64 eps (.f64 eps (.f64 x (fma.f64 x (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (.f64 eps x) (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))) (fma.f64 eps (.f64 eps (.f64 eps #s(literal 2/3 binary64))) eps))))) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/3 binary64))))
(.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal -4/3 binary64)) (/.f64 (-.f64 eps (/.f64 (neg.f64 (fma.f64 eps eps (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps) x))) x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(/.f64 eps (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(.f64 (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 17/9 binary64) #s(literal 4/3 binary64)) (/.f64 (-.f64 (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 4/3 binary64) eps) (/.f64 (neg.f64 (fma.f64 eps (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 2/3 binary64) eps) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps) x))) x)) x))) (neg.f64 (.f64 x (*.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 (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 (-.f64 (tan.f64 (+.f64 eps x)) x) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))

Outputs

(/.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)) eps) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))

Calls

3 calls:

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

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)

regimes30.0ms (0.2%)

Memory

12.3MiB live, 51.3MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`eps`
99.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory

7.8MiB live, 46.8MiB allocated

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory

2.5MiB live, 41.2MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0%)

Memory

-36.2MiB live, 10.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
eps

Outputs
eps

Calls

3 calls:

5.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	eps
1.0ms	x

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	182
1	62	182

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (cos.f64 x) (cos.f64 (+.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 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 eps (.f64 eps eps)) eps) (.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) (fma.f64 eps (.f64 #s(literal 2/3 binary64) (.f64 eps eps)) eps)) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (*.f64 x x) eps)
eps

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

soundness1.2s (7.6%)

Memory

-12.9MiB live, 819.7MiB allocated

Rules

14 592×	`accelerator-lowering-fma.f32`
14 592×	`accelerator-lowering-fma.f64`
11 608×	`accelerator-lowering-fma.f32`
11 608×	`accelerator-lowering-fma.f64`
11 584×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	826	7399
1	2818	7100
0	8733	6553
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	836	6700
1	2850	6515
0	8683	6009
0	6	16
1	46	16
2	398	16
3	6123	16
0	8101	16
0	672	11471
1	2166	11304
2	7530	11223
0	8543	10767

Stop Event

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

Compiler

Compiled 557 to 263 computations (52.8% saved)

preprocess208.0ms (1.3%)

Memory: 29.8MiB live, 143.9MiB allocated
Compiler: Compiled 468 to 156 computations (66.7% 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

analyze39.0ms (0.2%)

sample5.8s (37%)

preprocess32.0ms (0.2%)

explain85.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0%)

localize26.0ms (0.2%)

series11.0ms (0.1%)

rewrite293.0ms (1.9%)

simplify428.0ms (2.7%)

eval40.0ms (0.3%)

prune61.0ms (0.4%)

simplify467.0ms (3%)

localize327.0ms (2.1%)

series126.0ms (0.8%)

rewrite604.0ms (3.9%)

simplify660.0ms (4.2%)

eval362.0ms (2.3%)

prune189.0ms (1.2%)

simplify422.0ms (2.7%)

localize238.0ms (1.5%)

series39.0ms (0.3%)

rewrite586.0ms (3.8%)

simplify459.0ms (3%)

eval242.0ms (1.6%)

prune165.0ms (1.1%)

simplify495.0ms (3.2%)

localize179.0ms (1.2%)

series50.0ms (0.3%)

rewrite476.0ms (3.1%)

simplify463.0ms (3%)

eval247.0ms (1.6%)

prune205.0ms (1.3%)

regimes71.0ms (0.5%)

regimes117.0ms (0.8%)

regimes39.0ms (0.2%)

regimes37.0ms (0.2%)

regimes34.0ms (0.2%)

regimes30.0ms (0.2%)

regimes30.0ms (0.2%)

regimes15.0ms (0.1%)

regimes7.0ms (0%)

regimes7.0ms (0%)

simplify8.0ms (0.1%)

soundness1.2s (7.6%)

preprocess208.0ms (1.3%)

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