Metrics for 2tan (problem 3.3.2)

analyze235.0ms (1.5%)

Memory

-25.0MiB live, 53.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample6.5s (41.6%)

Memory

119.1MiB live, 8 528.4MiB allocated

Samples

3.7s	25 998×	0	invalid
687.0ms	5 426×	0	valid
673.0ms	2 830×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.5s

ival-tan: 862.0ms (24.7% of total)

const: 812.0ms (23.3% of total)

ival-mult: 421.0ms (12.1% of total)

ival-sub: 298.0ms (8.6% of total)

ival-add: 229.0ms (6.6% of total)

ival-<: 217.0ms (6.2% of total)

ival-<=: 215.0ms (6.2% of total)

ival-fabs: 212.0ms (6.1% of total)

ival-and: 101.0ms (2.9% of total)

adjust: 58.0ms (1.7% of total)

exact: 46.0ms (1.3% of total)

ival-assert: 13.0ms (0.4% of total)

Bogosity

preprocess31.0ms (0.2%)

Memory

1.0MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

102×	`sub-neg`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
68×	`cancel-sign-sub-inv`
64×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
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))

explain337.0ms (2.1%)

Memory

-374.8MiB live, 168.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
228	-	5	(2.2640352602146318e-262 3.073306276463545e-264)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
5	-	1	(23.34633067144976 1.042950339794098e-11)	`(tan.f64 (+.f64 x eps))`
0	-	0	-	`eps`
0	-	0	-	`(+.f64 x eps)`
0	-	0	-	`(tan.f64 x)`
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	10
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	4	0

Confusion

	Predicted +	Predicted -
+	224	4
-	0	28

Precision

1.0

Recall

0.9824561403508771

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	224	4	0
-	0	6	22

Precision?

0.9743589743589743

Recall?

1.0

Freqs

test

number	freq
0	32
1	221
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

250.0ms	320×	0	valid
19.0ms	190×	1	valid
15.0ms	2×	3	valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-sub: 234.0ms (87% of total)

ival-tan: 28.0ms (10.4% of total)

adjust: 4.0ms (1.5% of total)

ival-add: 3.0ms (1.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB 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)

localize47.0ms (0.3%)

Memory

-18.9MiB live, 55.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	61.1%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Samples

19.0ms	95×	1	valid
15.0ms	160×	0	valid
6.0ms	1×	3	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add: 11.0ms (43.9% of total)

ival-tan: 10.0ms (39.9% of total)

adjust: 2.0ms (8% of total)

ival-sub: 1.0ms (4% of total)

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

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

series11.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB 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))

rewrite276.0ms (1.8%)

Memory

-12.8MiB live, 476.5MiB 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))))))
(fma.f64 (tan.f64 (+.f64 x eps)) (/.f64 (tan.f64 (+.f64 x eps)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))))
(fma.f64 (tan.f64 x) #s(literal -1 binary64) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 x eps)))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (neg.f64 (tan.f64 x)))
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(.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))

simplify398.0ms (2.5%)

Memory

13.0MiB live, 517.2MiB 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: 3.9MiB live, 78.5MiB allocated
Compiler: Compiled 8 660 to 987 computations (88.6% saved)

prune60.0ms (0.4%)

Memory

-12.4MiB live, 111.8MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	320	23	343
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	320	24	344

Accuracy

99.9%

Counts

344 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	60.7%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
	99.2%	(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)
▶	99.4%	(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
	98.5%	(fma.f64 eps (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps)
	61.1%	(/.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)))))
	36.5%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
	60.0%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
	59.7%	(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	60.8%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	97.2%	(/.f64 (sin.f64 eps) (cos.f64 eps))
▶	61.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	60.8%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
	60.2%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
	60.7%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
	59.6%	(-.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))
	59.4%	(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	60.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	58.7%	(-.f64 (tan.f64 (+.f64 x eps)) x)
	5.5%	(-.f64 (tan.f64 x) (tan.f64 x))
	8.1%	(-.f64 (tan.f64 eps) (tan.f64 x))
	60.8%	(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
	60.1%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))

Compiler

Compiled 933 to 490 computations (47.5% saved)

simplify350.0ms (2.2%)

Memory

-0.9MiB live, 425.9MiB 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	0	(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	cost-diff	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	5824	(fma.f64 eps (fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
✓	cost-diff	26816	(fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))

Rules

12 960×	`accelerator-lowering-fma.f32`
12 960×	`accelerator-lowering-fma.f64`
3 308×	`--lowering--.f32`
3 308×	`--lowering--.f64`
2 742×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	562
1	111	480
2	282	478
3	804	476
4	3049	476
5	6279	476
0	8045	463

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize250.0ms (1.6%)

Memory

-3.2MiB live, 357.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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	100.0%	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	accuracy	61.1%	(-.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%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	60.8%	(-.f64 (+.f64 x eps) x)
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(/.f64 (sin.f64 eps) (cos.f64 eps))
✓	accuracy	100.0%	(+.f64 x eps)
✓	accuracy	99.7%	(tan.f64 (+.f64 x eps))
✓	accuracy	62.0%	(-.f64 (tan.f64 (+.f64 x eps)) x)
✓	accuracy	100.0%	(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	99.9%	(pow.f64 (sin.f64 x) #s(literal 4 binary64))
✓	accuracy	99.7%	(fma.f64 eps (fma.f64 eps (-.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))) (/.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
✓	accuracy	98.5%	(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))))

Samples

91.0ms	89×	1	valid
69.0ms	161×	0	valid
8.0ms	1×	4	valid
5.0ms	5×	2	valid

Compiler

Compiled 553 to 53 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 34.0ms (23.9% of total)

ival-div: 20.0ms (14.1% of total)

ival-add: 14.0ms (9.9% of total)

ival-tan: 13.0ms (9.1% of total)

adjust: 12.0ms (8.4% of total)

ival-pow: 11.0ms (7.7% of total)

ival-cos: 9.0ms (6.3% of total)

const: 8.0ms (5.6% of total)

ival-sub: 7.0ms (4.9% of total)

ival-sin: 6.0ms (4.2% of total)

ival-pow2: 6.0ms (4.2% of total)

exact: 1.0ms (0.7% of total)

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

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

series78.0ms (0.5%)

Memory

14.1MiB live, 130.8MiB allocated

Counts

22 → 432

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* -1/3 (pow x 2)) 1/2)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
#<alt (- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)>
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#<alt (/ (pow (sin x) 3) (pow (cos x) 2))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (* (cos x) (cos (- eps (* -1 x))))>
#<alt (pow (cos x) 2)>
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (+ eps x)))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (* (cos x) (cos (- x (* -1 eps))))>
#<alt (/ (* x (sin eps)) (cos eps))>
#<alt (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))>
#<alt (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))>
#<alt (* 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))))>
#<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)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>
#<alt (/ (* eps (sin x)) (cos x))>
#<alt (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))>
#<alt (* 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))))>
#<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)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>

Calls

108 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(+ (* eps (+ (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
9.0ms	eps	@	-inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
9.0ms	x	@	-inf	(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
4.0ms	x	@	-inf	(+ (* eps (+ (* eps (+ (* eps (- (/ (+ (pow (sin x) 2) (/ (pow (sin x) 4) (pow (cos x) 2))) (pow (cos x) 2)) (+ 1/6 (+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))))) (/ (+ (sin x) (/ (pow (sin x) 3) (pow (cos x) 2))) (cos x)))) (/ (pow (sin x) 2) (pow (cos x) 2)))) eps)
3.0ms	x	@	inf	(+ (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) -1/2))

rewrite407.0ms (2.6%)

Memory

9.1MiB live, 452.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 242×	`-lowering-.f32`
4 242×	`-lowering-.f64`
3 824×	`accelerator-lowering-fma.f32`
3 824×	`accelerator-lowering-fma.f64`
3 348×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	308
1	370	204
2	3822	200
0	8513	189

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 551

Calls

Call 1

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

Outputs
(+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
(+.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/36 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal 1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 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 -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 6 binary64)) #s(literal 1/216 binary64) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/36 binary64)) (.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) #s(literal 4 binary64)) #s(literal 1/36 binary64)) (pow.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 1/6 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 4 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (.f64 (+.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 6 binary64)) #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (.f64 (+.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 4 binary64)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
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(pow.f64 (/.f64 (-.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 x) (tan.f64 eps))))
(exp.f64 (log.f64 (tan.f64 x)))
(tan.f64 x)
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 (neg.f64 x)) (neg.f64 (cos.f64 x)))
(pow.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 (sin.f64 x))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 x))) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x)))))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x)) (log.f64 (sin.f64 x))))
(pow.f64 (sin.f64 x) #s(literal 4 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (sin.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) (*.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x)))) #s(literal -1 binary64)))
(exp.f64 (fma.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))))))
(exp.f64 (+.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x)))) (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x)))))
(exp.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) (log.f64 (cos.f64 x))) (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (sin.f64 x))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (cos.f64 x)) (cos.f64 x))
(pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (sin.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (sin.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (/.f64 (sin.f64 x) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (tan.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)))
(.f64 (tan.f64 x) (pow.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (cos.f64 x)) (tan.f64 x))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64)) (cos.f64 x)))
(.f64 (pow.f64 (/.f64 (cos.f64 x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (tan.f64 x))
(*.f64 (pow.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cos.f64 x) (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))))
(+.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (.f64 eps eps) (-.f64 x eps)))))
(cos.f64 (+.f64 x eps))
(-.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (sin.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 (neg.f64 x)) (sin.f64 eps)))
(fma.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (cos.f64 (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps))))))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (+.f64 x (-.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps))))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps))))) #s(literal -1 binary64))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(*.f64 (+.f64 (cos.f64 (+.f64 x (+.f64 x eps))) (cos.f64 (-.f64 x (+.f64 x eps)))) #s(literal 1/2 binary64))
(/.f64 (tan.f64 x) (/.f64 #s(literal 1 binary64) (tan.f64 eps)))
(/.f64 (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) (tan.f64 eps)) (cos.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 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (cos.f64 eps)) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 eps)))
(/.f64 (*.f64 (tan.f64 x) (sin.f64 eps)) (cos.f64 eps))
(/.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 x)) (cos.f64 x))
(/.f64 (*.f64 (sin.f64 x) (tan.f64 eps)) (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)))
(.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 #s(literal 1 binary64) (tan.f64 x)) (tan.f64 eps))
(.f64 (.f64 (tan.f64 x) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))

simplify489.0ms (3.1%)

Memory

-3.8MiB live, 581.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 764×	`accelerator-lowering-fma.f32`
9 764×	`accelerator-lowering-fma.f64`
6 246×	`-lowering-.f32`
6 246×	`-lowering-.f64`
3 818×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	7799
1	1996	7643
2	6668	7540
0	8014	7259

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 432

Calls

Call 1

Inputs
-1/2
(- (* -1/3 (pow x 2)) 1/2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (+ 1 (+ (* eps (+ (* eps (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ 1 (pow eps 2)) (+ (/ (sin x) (* eps (cos x))) (+ (/ (pow (sin x) 2) (* (pow eps 2) (pow (cos x) 2))) (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (+ (/ (pow (sin x) 3) (* eps (pow (cos x) 3))) (/ (pow (sin x) 4) (pow (cos x) 4)))))))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* (pow eps 3) (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (- (+ 1/3 (+ (/ (pow (sin x) 2) (pow (cos x) 2)) (/ (pow (sin x) 4) (pow (cos x) 4)))) (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) 1) eps)) (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) eps)))))
(+ eps (* 1/3 (pow eps 3)))
(+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))
(+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* x (+ (* 4/3 (* (pow eps 2) x)) (* eps (+ 1 (* 4/3 (pow eps 2)))))) (pow eps 2)))))
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(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(/ (sin (neg (* -1 eps))) (* (cos x) (cos (- x (* -1 eps)))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
(sin (neg (* -1 eps)))
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(/ (sin 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 (- (* x (- 1/3 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (* -1/3 (/ (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) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos 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 (- (* eps (- 1/3 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (* -1/3 (/ (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) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x))) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ (sin eps) (cos eps))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
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))
(pow x 4)
(* (pow x 4) (+ 1 (* -2/3 (pow x 2))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* 1/5 (pow x 2)) 2/3))))
(* (pow x 4) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/5 (* -34/945 (pow x 2)))) 2/3))))
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow (sin x) 4)
(pow x 3)
(* (pow x 3) (+ 1 (* 1/2 (pow x 2))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* 11/40 (pow x 2))))))
(* (pow x 3) (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 11/40 (* 421/3024 (pow x 2))))))))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/ (pow (sin x) 3) (pow (cos x) 2))
(/ (pow (sin x) 3) (pow (cos x) 2))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(* (cos x) (cos (- eps (* -1 x))))
(pow (cos x) 2)
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (+ eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(* (cos x) (cos (- x (* -1 eps))))
(/ (* 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
-1/2
#s(literal -1/2 binary64)
(- (* -1/3 (pow x 2)) 1/2)
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 1/3)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -2/9 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -17/135 (pow x 2)) 2/9)) 1/3)) 1/2)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/135 binary64) #s(literal -2/9 binary64)) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(- (+ (* -1/2 (/ (pow (sin x) 2) (pow (cos x) 2))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) 1/2)
(fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(* eps (+ 1 (/ (pow (sin x) 2) (pow (cos x) 2))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) eps eps)
(* eps (+ 1 (+ (* eps (+ (/ (sin x) (cos x)) (/ (pow (sin x) 3) (pow (cos x) 3)))) (/ (pow (sin x) 2) (pow (cos x) 2)))))
(fma.f64 eps (fma.f64 eps (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps)
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(* 1/3 (pow eps 2))
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(.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 (/.f64 (sin.f64 x) (cos.f64 x)) (.f64 (.f64 eps eps) #s(literal 2/15 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 x)) (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 (.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 (*.f64 #s(literal 1/3 binary64) (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)))

eval155.0ms (1%)

Memory: 38.5MiB live, 297.5MiB allocated
Compiler: Compiled 37 813 to 2 764 computations (92.7% saved)

prune109.0ms (0.7%)

Memory

-8.4MiB live, 251.2MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1 082	17	1 099
Fresh	13	5	18
Picked	4	1	5
Done	0	1	1
Total	1 099	24	1 123

Accuracy

100.0%

Counts

1 123 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (fma.f64 eps (fma.f64 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))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #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))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
▶	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
▶	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
	97.8%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	97.0%	(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	99.2%	(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	97.2%	(fma.f64 eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps)) eps)
▶	99.8%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.7%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	61.1%	(/.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)))))
	99.6%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	60.0%	(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
▶	98.5%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
	99.2%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	97.2%	(/.f64 eps (cos.f64 eps))
	60.9%	(-.f64 (/.f64 (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	59.6%	(-.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))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	60.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	97.2%	(tan.f64 eps)
	8.2%	(neg.f64 x)
▶	97.2%	eps

Compiler

Compiled 851 to 470 computations (44.8% saved)

simplify600.0ms (3.8%)

Memory

2.7MiB live, 272.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (tan.f64 x) (tan.f64 eps))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
✓	cost-diff	0	(cos.f64 x)
✓	cost-diff	0	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	cost-diff	0	(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))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))

Rules

13 140×	`accelerator-lowering-fma.f32`
13 140×	`accelerator-lowering-fma.f64`
4 610×	`-lowering-.f32`
4 610×	`-lowering-.f64`
1 908×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	230
1	120	228
2	348	228
3	896	228
4	1996	228
5	2616	228
6	3311	228
7	4124	228
8	4602	228
9	5843	228
10	6383	228
11	6383	228
12	6383	228
0	8185	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)
(* eps (* eps eps))
eps
(* eps eps)
(+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)
(* eps (+ (* (* eps eps) -1/5040) 1/120))
(+ (* (* eps eps) -1/5040) 1/120)
-1/5040
1/120
-1/6
(* (cos x) (cos (+ x eps)))
(cos x)
x
(cos (+ x eps))
(+ x eps)
eps
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)) eps)
(* eps (* eps eps))
eps
(* eps eps)
(+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)
(* eps (+ (* (* eps eps) 17/315) 2/15))
(+ (* (* eps eps) 17/315) 2/15)
17/315
2/15
1/3
(/ eps (pow (cos x) 2))
eps
(pow (cos x) 2)
(cos x)
x
2
(+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (neg (tan x)))
(/ 1 (- 1 (* (tan x) (tan eps))))
1
(- 1 (* (tan x) (tan eps)))
(* (tan x) (tan eps))
(tan x)
x
(tan eps)
eps
(+ (tan x) (tan eps))
(neg (tan x))

Outputs
(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))
(/.f64 (fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)
(fma.f64 eps (.f64 eps (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) eps)
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
eps
(* eps eps)
(*.f64 eps eps)
(+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64))
(* eps (+ (* (* eps eps) -1/5040) 1/120))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(+ (* (* eps eps) -1/5040) 1/120)
(fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
-1/5040
#s(literal -1/5040 binary64)
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* (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 (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)) eps)
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
eps
(* eps eps)
(*.f64 eps eps)
(+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64))
(* eps (+ (* (* eps eps) 17/315) 2/15))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(+ (* (* eps eps) 17/315) 2/15)
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
17/315
#s(literal 17/315 binary64)
2/15
#s(literal 2/15 binary64)
1/3
#s(literal 1/3 binary64)
(/ eps (pow (cos x) 2))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
eps
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos x)
(cos.f64 x)
x
2
#s(literal 2 binary64)
(+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (neg (tan x)))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (fma.f64 (tan.f64 x) (neg.f64 (tan.f64 eps)) #s(literal 1 binary64))) (tan.f64 x))
(/ 1 (- 1 (* (tan x) (tan eps))))
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 x) (tan.f64 eps) #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 (* (tan x) (tan eps)))
(fma.f64 (tan.f64 x) (neg.f64 (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
(+ (tan x) (tan eps))
(+.f64 (tan.f64 x) (tan.f64 eps))
(neg (tan x))
(neg.f64 (tan.f64 x))

localize250.0ms (1.6%)

Memory

3.3MiB live, 196.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))))
✓	accuracy	100.0%	(*.f64 (tan.f64 x) (tan.f64 eps))
✓	accuracy	100.0%	(+.f64 (tan.f64 x) (tan.f64 eps))
✓	accuracy	61.1%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
✓	accuracy	100.0%	(cos.f64 x)
✓	accuracy	100.0%	(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (cos.f64 x) #s(literal 2 binary64))
✓	accuracy	100.0%	(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))
✓	accuracy	100.0%	(fma.f64 (*.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/315 binary64) #s(literal 2/15 binary64)))
✓	accuracy	100.0%	(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))

Samples

103.0ms	96×	1	valid
61.0ms	159×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 225 to 44 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-add: 38.0ms (31.1% of total)

const: 32.0ms (26.2% of total)

ival-mult: 22.0ms (18% of total)

ival-div: 7.0ms (5.7% of total)

adjust: 7.0ms (5.7% of total)

ival-tan: 5.0ms (4.1% of total)

ival-cos: 4.0ms (3.3% of total)

ival-pow2: 3.0ms (2.5% of total)

ival-sub: 2.0ms (1.6% of total)

ival-neg: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.2%)

Memory

-11.0MiB live, 25.6MiB allocated

Counts

19 → 336

Calls

Call 1

Inputs
#<alt (/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))>
#<alt (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)>
#<alt (* eps (* eps eps))>
#<alt (* eps eps)>
#<alt (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)) eps)>
#<alt (+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)>
#<alt (/ eps (pow (cos x) 2))>
#<alt (pow (cos x) 2)>
#<alt (cos x)>
#<alt (+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (neg (tan x)))>
#<alt (/ 1 (- 1 (* (tan x) (tan eps))))>
#<alt (- 1 (* (tan x) (tan eps)))>
#<alt (* (tan x) (tan eps))>
#<alt (cos (+ x eps))>
#<alt (* eps (+ (* (* eps eps) -1/5040) 1/120))>
#<alt (* (cos x) (cos (+ x eps)))>
#<alt (* eps (+ (* (* eps eps) 17/315) 2/15))>
#<alt (+ (* (* eps eps) 17/315) 2/15)>
#<alt (+ (tan x) (tan 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 (* -1/5040 (/ (pow eps 7) (* (cos x) (cos (+ eps x)))))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x)))))))>
#<alt (* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (+ eps x))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))))))>
#<alt (* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (+ eps x)))))) (+ (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))))))>
#<alt (* -1/5040 (/ (pow eps 7) (* (cos x) (cos (- x (* -1 eps))))))>
#<alt (* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))))>
#<alt (* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))) (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))>
#<alt (* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))))) (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (- x (* -1 eps))))))))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))>
#<alt (+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (* -1/5040 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* -1/5040 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))>
#<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 (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>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (* 17/315 (pow eps 7))>
#<alt (* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))>
#<alt (* 17/315 (pow eps 7))>
#<alt (* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))>
#<alt (* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))>
#<alt 1/3>
#<alt (+ 1/3 (* 2/15 (pow eps 2)))>
#<alt (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))>
#<alt (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))>
#<alt (* 17/315 (pow eps 4))>
#<alt (* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))>
#<alt (* 17/315 (pow eps 4))>
#<alt (* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt eps>
#<alt (+ eps (* eps (pow x 2)))>
#<alt (+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))>
#<alt (+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt (/ eps (pow (cos x) 2))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt (pow (cos x) 2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt (- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))>
#<alt 1>
#<alt (+ 1 (/ (* x (sin eps)) (cos eps)))>
#<alt (+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt 1>
#<alt (+ 1 (/ (* eps (sin x)) (cos x)))>
#<alt (+ 1 (* eps (- (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)) (* -1 (/ (sin x) (cos x))))))>
#<alt (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (* -1/3 (/ (sin x) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x))))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt (/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))>
#<alt (+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))>
#<alt (+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* eps (sin x)) (cos x))))>
#<alt (+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))>
#<alt (+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))>
#<alt (/ (* x (sin eps)) (cos eps))>
#<alt (* x (+ (* 1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps))))>
#<alt (* x (+ (* (pow x 2) (+ (* 2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps))))>
#<alt (* 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))))>
#<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)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>
#<alt (/ (* eps (sin x)) (cos x))>
#<alt (* eps (+ (* 1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x))))>
#<alt (* eps (+ (* (pow eps 2) (+ (* 2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x))))>
#<alt (* 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))))>
#<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)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>
#<alt (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (* 1/120 eps)>
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))>
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))>
#<alt (* eps (+ 1/120 (* -1/5040 (pow eps 2))))>
#<alt (* -1/5040 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* -1/5040 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))>
#<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 (* 2/15 eps)>
#<alt (* eps (+ 2/15 (* 17/315 (pow eps 2))))>
#<alt (* eps (+ 2/15 (* 17/315 (pow eps 2))))>
#<alt (* eps (+ 2/15 (* 17/315 (pow eps 2))))>
#<alt (* 17/315 (pow eps 3))>
#<alt (* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* 17/315 (pow eps 3))>
#<alt (* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt 2/15>
#<alt (+ 2/15 (* 17/315 (pow eps 2)))>
#<alt (+ 2/15 (* 17/315 (pow eps 2)))>
#<alt (+ 2/15 (* 17/315 (pow eps 2)))>
#<alt (* 17/315 (pow eps 2))>
#<alt (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* 17/315 (pow eps 2))>
#<alt (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (+ x (/ (sin eps) (cos eps)))>
#<alt (+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))>
#<alt (+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (/ (sin x) (cos x))>
#<alt (+ eps (/ (sin x) (cos x)))>
#<alt (+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))>
#<alt (+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>
#<alt (+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))>

Calls

84 calls:

Time	Variable		Point	Expression
9.0ms	eps	@	-inf	(+ (tan x) (tan eps))
2.0ms	x	@	inf	(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))
1.0ms	x	@	0	(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))
1.0ms	eps	@	-inf	(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))
1.0ms	eps	@	inf	(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))

rewrite686.0ms (4.4%)

Memory

17.4MiB live, 377.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 422×	`-lowering-.f32`
5 422×	`-lowering-.f64`
3 952×	`/-lowering-/.f32`
3 952×	`/-lowering-/.f64`
3 886×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	176
1	283	174
2	2446	174
0	8693	160

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 650

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (cos (+ x eps))))
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)
(* eps (* eps eps))
(* eps eps)
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)) eps)
(+ (* eps (* eps (+ (* (* eps eps) 17/315) 2/15))) 1/3)
(/ eps (pow (cos x) 2))
(pow (cos x) 2)
(cos x)
(+ (* (/ 1 (- 1 (* (tan x) (tan eps)))) (+ (tan x) (tan eps))) (neg (tan x)))
(/ 1 (- 1 (* (tan x) (tan eps))))
(- 1 (* (tan x) (tan eps)))
(* (tan x) (tan eps))
(cos (+ x eps))
(* eps (+ (* (* eps eps) -1/5040) 1/120))
(* (cos x) (cos (+ x eps)))
(* eps (+ (* (* eps eps) 17/315) 2/15))
(+ (* (* eps eps) 17/315) 2/15)
(+ (tan x) (tan eps))

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

simplify362.0ms (2.3%)

Memory

-4.4MiB live, 517.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 698×	`accelerator-lowering-fma.f32`
8 698×	`accelerator-lowering-fma.f64`
7 010×	`-lowering-.f32`
7 010×	`-lowering-.f64`
2 588×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	566	5077
1	1810	4984
2	5880	4952
0	8696	4757

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (+ eps x)))))
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x)))))))
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (+ eps x))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))))))
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (+ eps x)))))) (+ (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (- x (* -1 eps))))))
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))))
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))) (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))
(* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))))) (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (- x (* -1 eps))))))))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/5040 (pow eps 7))
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* -1/5040 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(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)
(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
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* 17/315 (pow eps 7))
(* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* (pow eps 7) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (+ (* 2/15 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(* 17/315 (pow eps 7))
(* (pow eps 7) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* -1 (* (pow eps 7) (- (* -1 (/ (+ 2/15 (* 1/3 (/ 1 (pow eps 2)))) (pow eps 2))) 17/315)))
(* -1 (* (pow eps 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow eps 2))) (pow eps 4))) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))))
1/3
(+ 1/3 (* 2/15 (pow eps 2)))
(+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))
(+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))
(* 17/315 (pow eps 4))
(* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* 17/315 (pow eps 4))
(* (pow eps 4) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(* (pow eps 4) (+ 17/315 (+ (/ 1/3 (pow eps 4)) (* 2/15 (/ 1 (pow eps 2))))))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
eps
(+ eps (* eps (pow x 2)))
(+ eps (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(+ eps (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 eps) (+ (* -2/45 eps) (* 2/3 eps))))) (+ (* -1 eps) (* 1/3 eps)))) (* -1 eps))))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
(/ eps (pow (cos x) 2))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1)))
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
(pow (cos x) 2)
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)
(/ (sin eps) (cos eps))
(+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4))) (* -1/3 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* -1 (* eps (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- 1/3 (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(* eps (- (+ 1 (* eps (- (* eps (- (+ 1/3 (* -1 (* eps (+ (* -1 (/ (* (sin x) (- 1/3 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* -1/3 (/ (sin x) (cos x))) (+ (* -1/3 (/ (pow (sin x) 3) (pow (cos x) 3))) (/ (* (sin x) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 4) (pow (cos x) 4))) (* -1/3 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ (* -1 (/ (sin x) (cos x))) (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
(- (+ (/ (sin eps) (* (cos eps) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))) (/ (sin x) (* (cos x) (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))))) (/ (sin x) (cos x)))
1
(+ 1 (/ (* x (sin eps)) (cos eps)))
(+ 1 (* x (- (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)) (* -1 (/ (sin eps) (cos eps))))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -1/3 (/ (sin eps) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (sin eps) (cos eps))))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
1
(+ 1 (/ (* eps (sin x)) (cos x)))
(+ 1 (* eps (- (/ (* eps (pow (sin x) 2)) (pow (cos x) 2)) (* -1 (/ (sin x) (cos x))))))
(+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (/ (pow (sin x) 3) (pow (cos x) 3))) (* -1/3 (/ (sin x) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* -1 (/ (sin x) (cos x))))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
(/ 1 (- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x)))))
1
(+ 1 (* -1 (/ (* x (sin eps)) (cos eps))))
(+ 1 (* x (- (* -1/3 (/ (* (pow x 2) (sin eps)) (cos eps))) (/ (sin eps) (cos eps)))))
(+ 1 (* x (- (* (pow x 2) (- (* -2/15 (/ (* (pow x 2) (sin eps)) (cos eps))) (* 1/3 (/ (sin eps) (cos eps))))) (/ (sin eps) (cos eps)))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
1
(+ 1 (* -1 (/ (* eps (sin x)) (cos x))))
(+ 1 (* eps (- (* -1/3 (/ (* (pow eps 2) (sin x)) (cos x))) (/ (sin x) (cos x)))))
(+ 1 (* eps (- (* (pow eps 2) (- (* -2/15 (/ (* (pow eps 2) (sin x)) (cos x))) (* 1/3 (/ (sin x) (cos x))))) (/ (sin x) (cos x)))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (cos x))))
(- 1 (/ (* (sin eps) (sin x)) (* (cos eps) (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)))
(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)))
(* 1/120 eps)
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(* -1/5040 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* -1/5040 (pow eps 3))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(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))))
(* 2/15 eps)
(* eps (+ 2/15 (* 17/315 (pow eps 2))))
(* eps (+ 2/15 (* 17/315 (pow eps 2))))
(* eps (+ 2/15 (* 17/315 (pow eps 2))))
(* 17/315 (pow eps 3))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* 17/315 (pow eps 3))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
2/15
(+ 2/15 (* 17/315 (pow eps 2)))
(+ 2/15 (* 17/315 (pow eps 2)))
(+ 2/15 (* 17/315 (pow eps 2)))
(* 17/315 (pow eps 2))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* 17/315 (pow eps 2))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(/ (sin eps) (cos eps))
(+ x (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(/ (sin x) (cos x))
(+ eps (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))

Outputs
(/ eps (pow (cos x) 2))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))
(fma.f64 eps (/.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(fma.f64 (fma.f64 eps (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(fma.f64 (fma.f64 eps (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (sin.f64 x) #s(literal -1/3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (/.f64 (sin.f64 x) (cos.f64 x)))) (neg.f64 eps) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (*.f64 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (+ eps x)))))
(/.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 7 binary64))) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x)))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (cos.f64 (+.f64 eps x)) (.f64 eps (.f64 eps (cos.f64 x))))) (/.f64 #s(literal -1/5040 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (+ eps x))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (cos.f64 (+.f64 eps x)) (.f64 eps (.f64 eps (cos.f64 x))))) (-.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 eps eps) (.f64 eps eps))))))))
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (+ eps x)))))) (+ (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 (cos.f64 (+.f64 eps x)) (.f64 eps (.f64 eps (cos.f64 x))))) (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (pow.f64 eps #s(literal 6 binary64))))) (/.f64 #s(literal 1/6 binary64) (.f64 (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (.f64 (.f64 eps eps) (.f64 eps eps)))))) (/.f64 #s(literal -1/5040 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (- x (* -1 eps))))))
(/.f64 (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 7 binary64))) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 #s(literal -1/120 binary64) (.f64 (cos.f64 (+.f64 eps x)) (.f64 eps (*.f64 eps (cos.f64 x))))))))
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))) (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))
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(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 (-.f64 (.f64 eps (fma.f64 (.f64 eps (sin.f64 x)) #s(literal 1/6 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64)))) (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))
(* 1/120 eps)
(*.f64 eps #s(literal 1/120 binary64))
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(.f64 eps (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)))
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(.f64 eps (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)))
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(.f64 eps (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)))
(* -1/5040 (pow eps 3))
(.f64 eps (.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 eps eps))))
(* -1/5040 (pow eps 3))
(.f64 eps (.f64 #s(literal -1/5040 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 eps) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 eps) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(.f64 (neg.f64 eps) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 eps 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 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 x (neg.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps))) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 x (fma.f64 x (-.f64 (.f64 x (.f64 (sin.f64 eps) #s(literal 2/3 binary64))) (cos.f64 eps)) (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- eps (* -1 x))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(pow (cos x) 2)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))
(-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 (cos.f64 x) (.f64 eps (sin.f64 x))))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))
(fma.f64 eps (fma.f64 eps (.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))
(fma.f64 eps (fma.f64 eps (fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (.f64 (.f64 eps (cos.f64 x)) (.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 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (+ eps x)))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* (cos x) (cos (- x (* -1 eps))))
(*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(* 2/15 eps)
(*.f64 eps #s(literal 2/15 binary64))
(* eps (+ 2/15 (* 17/315 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* eps (+ 2/15 (* 17/315 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* eps (+ 2/15 (* 17/315 (pow eps 2))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* 17/315 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 17/315 binary64))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* 17/315 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 17/315 binary64))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
(* (pow eps 3) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64)))
2/15
#s(literal 2/15 binary64)
(+ 2/15 (* 17/315 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(+ 2/15 (* 17/315 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(+ 2/15 (* 17/315 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(* 17/315 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 17/315 binary64))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(* 17/315 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 17/315 binary64))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(* (pow eps 2) (+ 17/315 (* 2/15 (/ 1 (pow eps 2)))))
(fma.f64 eps (*.f64 eps #s(literal 17/315 binary64)) #s(literal 2/15 binary64))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(+ x (/ (sin eps) (cos eps)))
(+.f64 x (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* 1/3 (pow x 2)))) (/ (sin eps) (cos eps)))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2)))))) (/ (sin eps) (cos eps)))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(+ eps (/ (sin x) (cos x)))
(+.f64 eps (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (+ 1 (* 1/3 (pow eps 2)))) (/ (sin x) (cos x)))
(fma.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))) (/ (sin x) (cos x)))
(fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))
(+ (/ (sin eps) (cos eps)) (/ (sin x) (cos x)))
(+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 x)))

eval187.0ms (1.2%)

Memory: 20.8MiB live, 325.4MiB allocated
Compiler: Compiled 38 628 to 2 850 computations (92.6% saved)

prune165.0ms (1%)

Memory

-20.4MiB live, 350.3MiB allocated

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	1 061	18	1 079
Fresh	4	13	17
Picked	1	4	5
Done	0	2	2
Total	1 066	37	1 103

Accuracy

100.0%

Counts

1 103 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (fma.f64 eps (fma.f64 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))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #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))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
✓	61.0%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
	97.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
	97.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
✓	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps)
	61.0%	(fma.f64 (exp.f64 (.f64 (log1p.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal -1 binary64))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
▶	97.8%	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
	97.0%	(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.6%	(fma.f64 eps (*.f64 x x) eps)
	97.8%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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))))
	97.9%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))
▶	97.8%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
▶	100.0%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
	99.3%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
✓	99.8%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.7%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	61.1%	(/.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)))))
	99.6%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
▶	99.7%	(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	54.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #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 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (neg.f64 eps)))
	97.3%	(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
	98.5%	(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
	99.2%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	97.2%	(/.f64 eps (cos.f64 eps))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)))
	60.9%	(-.f64 (/.f64 (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
✓	61.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	59.6%	(-.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))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	60.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.7%	(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
	97.2%	(tan.f64 eps)
▶	8.2%	(neg.f64 x)
✓	97.2%	eps

Compiler

Compiled 1 528 to 830 computations (45.7% saved)

simplify307.0ms (2%)

Memory

16.1MiB live, 446.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x)))
✓	cost-diff	384	(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
✓	cost-diff	0	(fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)
✓	cost-diff	0	(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
✓	cost-diff	320	(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps)
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))

Rules

10 822×	`accelerator-lowering-fma.f32`
10 822×	`accelerator-lowering-fma.f64`
3 630×	`-lowering-.f32`
3 630×	`-lowering-.f64`
2 162×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	452
1	171	449
2	426	449
3	981	445
4	2111	445
5	2877	445
6	4200	445
7	5807	445
0	8021	400

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)
(* eps (* eps eps))
eps
(* eps eps)
(+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)
(* eps (+ (* (* eps eps) -1/5040) 1/120))
(+ (* (* eps eps) -1/5040) 1/120)
-1/5040
1/120
-1/6
(* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))
(cos x)
x
(+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))
(cos eps)
(* (neg (sin x)) (sin eps))
(neg (sin x))
(sin x)
(sin eps)
(neg x)
x
(+ (* eps (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) eps)) (* 1/3 (* eps eps)))) eps)
eps
(+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) eps)) (* 1/3 (* eps eps)))
x
(+ (* x (+ (* eps (* eps 4/3)) 1)) eps)
(+ (* eps (* eps 4/3)) 1)
(* eps 4/3)
4/3
1
(* 1/3 (* eps eps))
1/3
(* eps eps)
(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (+ (* x (* x -1/2)) 1) (cos (+ x eps))))
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)
(* eps (* eps eps))
eps
(* eps eps)
(+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)
(* eps (+ (* (* eps eps) -1/5040) 1/120))
(+ (* (* eps eps) -1/5040) 1/120)
-1/5040
1/120
-1/6
(* (+ (* x (* x -1/2)) 1) (cos (+ x eps)))
(+ (* x (* x -1/2)) 1)
x
(* x -1/2)
-1/2
1
(cos (+ x eps))
(+ x eps)
(/ (/ (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps) (cos (+ eps x))) (cos x))
(/ (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps) (cos (+ eps x)))
(+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps)
(* eps (* eps eps))
eps
(* eps eps)
(+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)
(+ (* eps (* eps -1/5040)) 1/120)
(* eps -1/5040)
-1/5040
1/120
-1/6
(cos (+ eps x))
(+ eps x)
x
(cos x)

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

localize229.0ms (1.5%)

Memory

4.3MiB live, 247.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/5040 binary64))
✓	accuracy	99.9%	(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(cos.f64 (+.f64 eps x))
✓	accuracy	100.0%	(.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps)))
✓	accuracy	99.9%	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(cos.f64 (+.f64 x eps))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps)
✓	accuracy	99.8%	(fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps)))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 eps eps))
✓	accuracy	99.4%	(*.f64 eps #s(literal 4/3 binary64))
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))))
✓	accuracy	100.0%	(*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))
✓	accuracy	99.9%	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))

Samples

155.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 426 to 59 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-div: 52.0ms (40% of total)

ival-mult: 35.0ms (26.9% of total)

const: 15.0ms (11.5% of total)

ival-add: 15.0ms (11.5% of total)

ival-cos: 7.0ms (5.4% of total)

ival-sin: 3.0ms (2.3% of total)

ival-neg: 2.0ms (1.5% 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)

series57.0ms (0.4%)

Memory

-9.1MiB live, 65.1MiB allocated

Counts

22 → 408

Calls

Call 1

Inputs
#<alt (/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))>
#<alt (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)>
#<alt (* eps (* eps eps))>
#<alt (* eps eps)>
#<alt (neg x)>
#<alt (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) eps)) (* 1/3 (* eps eps)))>
#<alt (+ (* eps (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) eps)) (* 1/3 (* eps eps)))) eps)>
#<alt (+ (* x (+ (* eps (* eps 4/3)) 1)) eps)>
#<alt (+ (* eps (* eps 4/3)) 1)>
#<alt (/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (+ (* x (* x -1/2)) 1) (cos (+ x eps))))>
#<alt (/ (/ (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps) (cos (+ eps x))) (cos x))>
#<alt (/ (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps) (cos (+ eps x)))>
#<alt (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps)>
#<alt (* eps (+ (* (* eps eps) -1/5040) 1/120))>
#<alt (* (neg (sin x)) (sin eps))>
#<alt (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))>
#<alt (* eps 4/3)>
#<alt (* 1/3 (* eps eps))>
#<alt (cos (+ x eps))>
#<alt (* (+ (* x (* x -1/2)) 1) (cos (+ x eps)))>
#<alt (cos (+ eps x))>
#<alt (* eps -1/5040)>

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 (* -1/5040 (/ (pow eps 7) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))) (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))>
#<alt (* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (+ (/ 1/6 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))))>
#<alt (* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (/ 1 (* (pow eps 6) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))) (+ (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))))>
#<alt (* -1/5040 (/ (pow eps 7) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))>
#<alt (* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))))>
#<alt (* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))))>
#<alt (* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))) (+ (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (/ 1 (* (pow eps 6) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))>
#<alt (+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))>
#<alt (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos 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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (* -1/5040 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))>
#<alt (* -1/5040 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))>
#<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 (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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/3 (pow eps 2))>
#<alt (+ (* 1/3 (pow eps 2)) (* eps x))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (+ (* 1/3 (pow eps 2)) (* x (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 1/3 (/ (pow eps 2) (pow x 2))) (+ (* 4/3 (pow eps 2)) (/ eps x)))))>
#<alt (* (pow x 2) (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* (pow x 2) (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (+ (* -1 eps) (* -1/3 (/ (pow eps 2) x))) x)) (* 4/3 (pow eps 2)))))>
#<alt (pow x 2)>
#<alt (+ (* eps x) (pow x 2))>
#<alt (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))))>
#<alt (* (pow eps 2) (+ 1/3 (+ (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) eps))) eps)) (* 4/3 (pow x 2)))))>
#<alt (* eps (+ 1 (pow x 2)))>
#<alt (* eps (+ 1 (+ (* eps x) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* eps (+ 1 (+ (* eps (+ x (* eps (+ 1/3 (* 4/3 (pow x 2)))))) (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (/ x eps))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (+ (* 4/3 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ 1/3 (* 4/3 (pow x 2))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps)))))>
#<alt (+ eps (* 1/3 (pow eps 3)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* (pow eps 2) x)))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))>
#<alt (+ eps (+ (* 1/3 (pow eps 3)) (* x (+ (* eps (* x (+ 1 (* 4/3 (pow eps 2))))) (pow eps 2)))))>
#<alt (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))>
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (pow eps 2) x)))))>
#<alt (* (pow x 2) (+ (* 1/3 (/ (pow eps 3) (pow x 2))) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (+ (/ eps (pow x 2)) (/ (pow eps 2) x)))))>
#<alt (* eps (* (pow x 2) (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ eps (* 1/3 (pow eps 3))) x)) (* -1 (pow eps 2))) x)) (* eps (+ 1 (* 4/3 (pow eps 2))))))>
#<alt eps>
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (+ eps (* x (+ 1 (* 4/3 (pow eps 2)))))>
#<alt (* x (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* x (+ 1 (+ (* 4/3 (pow eps 2)) (/ eps x))))>
#<alt (* x (+ 1 (* 4/3 (pow eps 2))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1 (* 4/3 (pow eps 2)))) (* -1 (/ eps x)))))>
#<alt x>
#<alt (+ eps x)>
#<alt (+ x (* eps (+ 1 (* 4/3 (* eps x)))))>
#<alt (+ x (* eps (+ 1 (* 4/3 (* eps x)))))>
#<alt (* 4/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (+ (/ 1 eps) (/ x (pow eps 2)))))>
#<alt (* 4/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 4/3 x) (/ 1 eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 (/ x eps)) 1) eps)) (* 4/3 x)))>
#<alt 1>
#<alt (+ 1 (* 4/3 (pow eps 2)))>
#<alt (+ 1 (* 4/3 (pow eps 2)))>
#<alt (+ 1 (* 4/3 (pow eps 2)))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* 4/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 4/3 (/ 1 (pow eps 2))))>
#<alt (/ eps (* (cos x) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* eps (+ (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))) (/ (* eps (sin x)) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))) (+ (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 3) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))))) (* -1 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))) (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))) (+ (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 3) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))))) (cos x))) (+ (* -1/2 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))))) (* 1/2 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))) (+ (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 3) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))))) (* -1 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))) (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))))>
#<alt (* -1/5040 (/ (pow eps 7) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))>
#<alt (* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))) (* 1/5040 (/ 1 (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))))>
#<alt (* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (+ (/ 1/6 (* (pow eps 4) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (* 1/5040 (/ 1 (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))))))>
#<alt (* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (/ 1 (* (pow eps 6) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))) (+ (* 1/5040 (/ 1 (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))))))>
#<alt (* -1/5040 (/ (pow eps 7) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))))>
#<alt (* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))))))))>
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#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (* -1 (* (sin eps) (sin x)))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))>
#<alt (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (pow (cos x) 2)>
#<alt (+ (* -1 (* eps (* (cos x) (sin x)))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* -1/2 (* eps (pow (cos x) 2))))) (pow (cos x) 2))>
#<alt (+ (* eps (+ (* -1 (* (cos x) (sin x))) (* eps (+ (* -1/2 (pow (cos x) 2)) (* 1/6 (* eps (* (cos x) (sin x)))))))) (pow (cos x) 2))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 4/3 eps)>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* 1/3 (pow eps 2))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))>
#<alt (+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos (- eps (* -1 x)))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (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 (* -1/2 (* (pow x 2) (cos (+ eps x))))>
#<alt (* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))>
#<alt (* -1/2 (* (pow x 2) (cos (- eps (* -1 x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))>
#<alt (* (cos x) (+ 1 (* -1/2 (pow x 2))))>
#<alt (+ (* -1 (* eps (* (sin x) (+ 1 (* -1/2 (pow x 2)))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* eps (+ (* -1 (* (sin x) (+ 1 (* -1/2 (pow x 2))))) (* -1/2 (* eps (* (cos x) (+ 1 (* -1/2 (pow x 2)))))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (+ (* eps (+ (* -1 (* (sin x) (+ 1 (* -1/2 (pow x 2))))) (* eps (+ (* -1/2 (* (cos x) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (* eps (* (sin x) (+ 1 (* -1/2 (pow x 2)))))))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))>
#<alt (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))>
#<alt (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))>
#<alt (cos x)>
#<alt (+ (cos x) (* -1 (* eps (sin x))))>
#<alt (+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))>
#<alt (+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (+ eps x))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos (- x (* -1 eps)))>
#<alt (cos eps)>
#<alt (+ (cos eps) (* -1 (* x (sin eps))))>
#<alt (+ (cos eps) (* x (- (* -1/2 (* 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 (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>
#<alt (* -1/5040 eps)>

Calls

102 calls:

Time	Variable		Point	Expression
15.0ms	x	@	inf	(/ (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps) (cos (+ eps x)))
3.0ms	eps	@	inf	(* eps eps)
3.0ms	eps	@	-inf	(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))
2.0ms	eps	@	-inf	(* eps 4/3)
2.0ms	x	@	inf	(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))

rewrite437.0ms (2.8%)

Memory

-14.2MiB live, 514.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 052×	`accelerator-lowering-fma.f32`
6 052×	`accelerator-lowering-fma.f64`
4 976×	`-lowering-.f32`
4 976×	`-lowering-.f64`
4 098×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	293
1	370	269
2	2716	269
0	9326	238

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 740

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps)))))
(+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps)
(* eps (* eps eps))
(* eps eps)
(neg x)
(+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) eps)) (* 1/3 (* eps eps)))
(+ (* eps (+ (* x (+ (* x (+ (* eps (* eps 4/3)) 1)) eps)) (* 1/3 (* eps eps)))) eps)
(+ (* x (+ (* eps (* eps 4/3)) 1)) eps)
(+ (* eps (* eps 4/3)) 1)
(/ (+ (* (* eps (* eps eps)) (+ (* eps (* eps (+ (* (* eps eps) -1/5040) 1/120))) -1/6)) eps) (* (+ (* x (* x -1/2)) 1) (cos (+ x eps))))
(/ (/ (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps) (cos (+ eps x))) (cos x))
(/ (+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps) (cos (+ eps x)))
(+ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* eps (* eps -1/5040)) 1/120)) -1/6)) eps)
(* eps (+ (* (* eps eps) -1/5040) 1/120))
(* (neg (sin x)) (sin eps))
(* (cos x) (+ (* (cos x) (cos eps)) (* (neg (sin x)) (sin eps))))
(* eps 4/3)
(* 1/3 (* eps eps))
(cos (+ x eps))
(* (+ (* x (* x -1/2)) 1) (cos (+ x eps)))
(cos (+ eps x))
(* eps -1/5040)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) (/.f64 (/.f64 (.f64 eps eps) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps)))) (/.f64 (.f64 eps eps) (.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps)))))
(neg.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
(neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 (+.f64 eps x)) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)))))
(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
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(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (.f64 (sin.f64 x) (sin.f64 eps)) (.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (.f64 (sin.f64 eps) #s(literal -1 binary64)) (sin.f64 x) (.f64 (cos.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (.f64 eps eps) (-.f64 x eps))) (.f64 (sin.f64 (/.f64 (.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(fma.f64 (cos.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (cos.f64 (/.f64 (.f64 x x) (-.f64 eps x))) (.f64 (sin.f64 (/.f64 (.f64 eps eps) (-.f64 eps x))) (sin.f64 (/.f64 (*.f64 x x) (-.f64 eps x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (-.f64 x eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (-.f64 x eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))))))
(/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (cos.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (.f64 (cos.f64 eps) (.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 eps)))))))
(/.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) (neg.f64 (cos.f64 (-.f64 x eps))))
(/.f64 (-.f64 (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))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x)))) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 eps x))))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (cos.f64 (-.f64 x eps))) (.f64 (cos.f64 (-.f64 x eps)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (-.f64 x eps))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))))) (neg.f64 (neg.f64 (cos.f64 (-.f64 x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (fma.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps))))))) (neg.f64 (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (-.f64 (.f64 (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (.f64 (.f64 (cos.f64 x) (cos.f64 eps)) (.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))))
(pow.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (.f64 (cos.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (-.f64 x eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps)))) #s(literal -1 binary64))
(.f64 (+.f64 (pow.f64 (.f64 (cos.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (neg.f64 (.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps)))))))
(.f64 (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 (-.f64 x eps))))
(*.f64 eps #s(literal -1/5040 binary64))
(*.f64 #s(literal -1/5040 binary64) eps)

simplify442.0ms (2.8%)

Memory

33.4MiB live, 545.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 182×	`accelerator-lowering-fma.f32`
10 182×	`accelerator-lowering-fma.f64`
6 756×	`-lowering-.f32`
6 756×	`-lowering-.f64`
4 184×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	757	8273
1	2485	8019
0	8491	7410

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

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))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))) (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (+ (/ 1/6 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))))
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (/ 1 (* (pow eps 6) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))) (+ (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))))
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))))
(* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))) (+ (/ 1/120 (* (pow eps 2) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))) (/ 1 (* (pow eps 6) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))))))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
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(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))
eps
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(* -1/5040 (pow eps 7))
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(pow x 2)
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(* -1 (* (pow eps 3) (+ (* -1 (+ 1/3 (* 4/3 (pow x 2)))) (* -1 (/ (+ x (* -1 (/ (- (* -1 (pow x 2)) 1) eps))) eps)))))
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(* (pow x 2) (+ (* eps (+ 1 (* 4/3 (pow eps 2)))) (/ (pow eps 2) x)))
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eps
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x
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1
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(/ eps (* (cos x) (+ 1 (* -1/2 (pow x 2)))))
(* eps (+ (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))) (/ (* eps (sin x)) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))) (+ (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 3) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))))) (* -1 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))) (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))) (+ (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 3) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))))) (cos x))) (+ (* -1/2 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))))) (* 1/2 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))) (+ (* -1 (/ (pow (sin x) 2) (* (pow (cos x) 3) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2))))))))) (* -1 (/ (sin x) (* (pow (cos x) 2) (+ 1 (* -1/2 (pow x 2)))))))) (/ 1 (* (cos x) (+ 1 (* -1/2 (pow x 2)))))))
(* -1/5040 (/ (pow eps 7) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))) (* 1/5040 (/ 1 (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))))
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (+ (/ 1/6 (* (pow eps 4) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (* 1/5040 (/ 1 (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))))))
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (/ 1 (* (pow eps 6) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))) (+ (* 1/5040 (/ 1 (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))))))))
(* -1/5040 (/ (pow eps 7) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))))
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))))))))
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2)))))) (* 1/5040 (/ 1 (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))))) (/ 1/120 (* (pow eps 2) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2)))))))))
(* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2)))))))) (+ (/ 1/120 (* (pow eps 2) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2)))))) (/ 1 (* (pow eps 6) (* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))))))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (+ eps x)))))
(/ (+ (* -4 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (+ eps x))))) (* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x))))) (pow x 2))
(/ (- (+ (* -8 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 4) (cos (+ eps x))))) (* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x))))) (* 4 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (+ eps x)))))) (pow x 2))
(/ (- (+ (* -16 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 6) (cos (+ eps x))))) (* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x))))) (+ (* 4 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (+ eps x))))) (* 8 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 4) (cos (+ eps x))))))) (pow x 2))
(* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (- eps (* -1 x))))))
(/ (+ (* -4 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (- eps (* -1 x)))))) (* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x)))))) (pow x 2))
(/ (- (+ (* -8 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 4) (cos (- eps (* -1 x)))))) (* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x)))))) (* 4 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (- eps (* -1 x))))))) (pow x 2))
(/ (- (+ (* -16 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 6) (cos (- eps (* -1 x)))))) (* -2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x)))))) (+ (* 4 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 2) (cos (- eps (* -1 x)))))) (* 8 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (pow x 4) (cos (- eps (* -1 x)))))))) (pow x 2))
(/ 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))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (+ eps x)))))
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (+ eps x)))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x)))))))
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (+ eps x))))) (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))))))
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (+ eps x))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (+ eps x)))))) (+ (* 1/5040 (/ 1 (* (cos x) (cos (+ eps x))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (+ eps x)))))))))
(* -1/5040 (/ (pow eps 7) (* (cos x) (cos (- x (* -1 eps))))))
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/120 (/ 1 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps))))))))))
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))) (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps))))))) (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))))))
(* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (* (cos x) (cos (- x (* -1 eps)))))) (* 1/6 (/ 1 (* (pow eps 4) (* (cos x) (cos (- x (* -1 eps)))))))) (+ (/ 1/120 (* (pow eps 2) (* (cos x) (cos (- x (* -1 eps)))))) (/ 1 (* (pow eps 6) (* (cos x) (cos (- x (* -1 eps))))))))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)) (/ (* (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (+ eps x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (* (cos x) (cos (- eps (* -1 x)))))
(/ eps (cos x))
(* eps (+ (/ 1 (cos x)) (/ (* eps (sin x)) (pow (cos x) 2))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (cos x))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 2))) (* 1/6 (/ (sin x) (pow (cos x) 2))))))) (* 1/2 (/ 1 (cos x)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 3))) (* 1/6 (/ 1 (cos x)))))) (* -1 (/ (sin x) (pow (cos x) 2))))) (/ 1 (cos x))))
(* -1/5040 (/ (pow eps 7) (cos (+ eps x))))
(* (pow eps 7) (- (* 1/120 (/ 1 (* (pow eps 2) (cos (+ eps x))))) (* 1/5040 (/ 1 (cos (+ eps x))))))
(* (pow eps 7) (- (/ 1/120 (* (pow eps 2) (cos (+ eps x)))) (+ (/ 1/6 (* (pow eps 4) (cos (+ eps x)))) (* 1/5040 (/ 1 (cos (+ eps x)))))))
(* (pow eps 7) (- (+ (/ 1/120 (* (pow eps 2) (cos (+ eps x)))) (/ 1 (* (pow eps 6) (cos (+ eps x))))) (+ (* 1/5040 (/ 1 (cos (+ eps x)))) (* 1/6 (/ 1 (* (pow eps 4) (cos (+ eps x))))))))
(* -1/5040 (/ (pow eps 7) (cos (- x (* -1 eps)))))
(* -1 (* (pow eps 7) (- (* 1/5040 (/ 1 (cos (- x (* -1 eps))))) (* 1/120 (/ 1 (* (pow eps 2) (cos (- x (* -1 eps)))))))))
(* -1 (* (pow eps 7) (- (+ (/ 1/6 (* (pow eps 4) (cos (- x (* -1 eps))))) (* 1/5040 (/ 1 (cos (- x (* -1 eps)))))) (/ 1/120 (* (pow eps 2) (cos (- x (* -1 eps))))))))
(* -1 (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (cos (- x (* -1 eps))))) (* 1/6 (/ 1 (* (pow eps 4) (cos (- x (* -1 eps))))))) (+ (/ 1/120 (* (pow eps 2) (cos (- x (* -1 eps))))) (/ 1 (* (pow eps 6) (cos (- x (* -1 eps)))))))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))
(+ (/ eps (cos eps)) (+ (/ (* x (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))) (pow (cos eps) 2)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* -1 (* x (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (+ (* 1/6 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))) (/ (* (sin eps) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps))))) (cos eps)))))) (+ (* -1 (/ (* (pow (sin eps) 2) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 3))) (* -1/2 (/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos eps)))))) (* -1 (/ (* (sin eps) (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))) (pow (cos eps) 2))))) (+ (/ eps (cos eps)) (/ (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)) (cos eps))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (+ eps x)))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))) (cos (- eps (* -1 x))))
(/ (+ eps (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/5040 (pow eps 7))
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 7) (- (* 1/120 (/ 1 (pow eps 2))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))) (+ 1/5040 (/ 1/6 (pow eps 4)))))
(* -1/5040 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/5040 (/ 1/6 (pow eps 4))) (+ (* 1/120 (/ 1 (pow eps 2))) (/ 1 (pow eps 6))))))
(* 1/120 eps)
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(* eps (+ 1/120 (* -1/5040 (pow eps 2))))
(* -1/5040 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* (pow eps 3) (- (* 1/120 (/ 1 (pow eps 2))) 1/5040))
(* -1/5040 (pow eps 3))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 1/5040 (* 1/120 (/ 1 (pow eps 2))))))
(* -1 (* x (sin eps)))
(* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps)))))
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps))))))
(* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps)))))))))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* eps (sin x)))
(* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x))))))
(* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x)))))))))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(* -1 (* (sin eps) (sin x)))
(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) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos 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) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 4/3 eps)
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(* 1/3 (pow eps 2))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos (- eps (* -1 x)))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(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)))))))))
(* -1/2 (* (pow x 2) (cos (+ eps x))))
(* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))
(* -1/2 (* (pow x 2) (cos (- eps (* -1 x)))))
(* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))
(* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))
(* (cos x) (+ 1 (* -1/2 (pow x 2))))
(+ (* -1 (* eps (* (sin x) (+ 1 (* -1/2 (pow x 2)))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))
(+ (* eps (+ (* -1 (* (sin x) (+ 1 (* -1/2 (pow x 2))))) (* -1/2 (* eps (* (cos x) (+ 1 (* -1/2 (pow x 2)))))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))
(+ (* eps (+ (* -1 (* (sin x) (+ 1 (* -1/2 (pow x 2))))) (* eps (+ (* -1/2 (* (cos x) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (* eps (* (sin x) (+ 1 (* -1/2 (pow x 2)))))))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(cos x)
(+ (cos x) (* -1 (* eps (sin x))))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (+ eps x))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos (- x (* -1 eps)))
(cos eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(+ (cos eps) (* x (- (* -1/2 (* 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)))
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 eps)
(* -1/5040 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))))
(fma.f64 (*.f64 eps eps) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
(fma.f64 (fma.f64 eps (-.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 eps eps) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))
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(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x))))
(.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 4/3 eps)
(*.f64 eps #s(literal 4/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(* 1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/3 binary64))
(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 (fma.f64 x (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (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 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (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 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 x (sin.f64 eps)))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1 (* x (cos eps))))))
(fma.f64 x (neg.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps))) (cos.f64 eps))
(+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1 (cos eps)) (* x (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))))))))
(fma.f64 x (fma.f64 x (-.f64 (.f64 (.f64 x (sin.f64 eps)) #s(literal 2/3 binary64)) (cos.f64 eps)) (neg.f64 (sin.f64 eps))) (cos.f64 eps))
(* -1/2 (* (pow x 2) (cos (+ eps x))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (cos.f64 (+.f64 eps x)))
(* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 x x))))
(* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 x x))))
(* (pow x 2) (+ (* -1/2 (cos (+ eps x))) (/ (cos (+ eps x)) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 x x))))
(* -1/2 (* (pow x 2) (cos (- eps (* -1 x)))))
(.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x x)) (cos.f64 (+.f64 eps x)))
(* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 x x))))
(* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 x x))))
(* (pow x 2) (+ (* -1/2 (cos (- eps (* -1 x)))) (/ (cos (- eps (* -1 x))) (pow x 2))))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps x)) (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 x x))))
(* (cos x) (+ 1 (* -1/2 (pow x 2))))
(.f64 (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))
(+ (* -1 (* eps (* (sin x) (+ 1 (* -1/2 (pow x 2)))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))
(fma.f64 (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 eps (sin.f64 x)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))))
(+ (* eps (+ (* -1 (* (sin x) (+ 1 (* -1/2 (pow x 2))))) (* -1/2 (* eps (* (cos x) (+ 1 (* -1/2 (pow x 2)))))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))
(fma.f64 eps (-.f64 (.f64 eps (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))
(+ (* eps (+ (* -1 (* (sin x) (+ 1 (* -1/2 (pow x 2))))) (* eps (+ (* -1/2 (* (cos x) (+ 1 (* -1/2 (pow x 2))))) (* 1/6 (* eps (* (sin x) (+ 1 (* -1/2 (pow x 2)))))))))) (* (cos x) (+ 1 (* -1/2 (pow x 2)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (.f64 eps (sin.f64 x)) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1/6 binary64)) (.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 x) (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64))))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(* (cos (+ eps x)) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(* (cos (- x (* -1 eps))) (+ 1 (* -1/2 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x x) #s(literal 1 binary64)) (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 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps)) (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 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))) (cos.f64 x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(-.f64 (cos.f64 eps) (*.f64 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 (fma.f64 x (.f64 #s(literal -1/2 binary64) (cos.f64 eps)) (.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1 binary64)))) (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))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))
(* -1/5040 eps)
(*.f64 eps #s(literal -1/5040 binary64))

eval197.0ms (1.3%)

Memory: 16.4MiB live, 360.3MiB allocated
Compiler: Compiled 62 132 to 2 951 computations (95.3% saved)

prune192.0ms (1.2%)

Memory

-26.4MiB live, 340.5MiB allocated

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	1 379	14	1 393
Fresh	5	21	26
Picked	3	2	5
Done	1	5	6
Total	1 388	42	1 430

Accuracy

100.0%

Counts

1 430 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(fma.f64 (fma.f64 eps (fma.f64 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))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #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))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
	97.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
	97.6%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
✓	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
	97.2%	(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/3 binary64) eps)
	97.1%	(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.8%	(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.6%	(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.0%	(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
	97.8%	(fma.f64 eps (*.f64 x (+.f64 eps x)) eps)
	97.6%	(fma.f64 eps (*.f64 x x) eps)
	100.0%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 eps)))))
	97.8%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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))))
	97.9%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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))))
✓	100.0%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
	99.8%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 eps (.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))))
	99.3%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.f64 x)))))
✓	99.8%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.7%	(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	61.1%	(/.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)))))
	97.8%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
	99.6%	(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	99.9%	(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (cos.f64 x))
	99.6%	(/.f64 (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
	99.2%	(/.f64 (/.f64 eps (cos.f64 (+.f64 eps x))) (cos.f64 x))
	54.2%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps)) (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))))) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
	99.7%	(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x))
	54.2%	(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #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 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (neg.f64 eps)))
	98.5%	(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
	97.8%	(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
	99.2%	(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
	97.2%	(/.f64 eps (cos.f64 eps))
	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)))
✓	61.1%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	60.1%	(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
✓	60.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	97.8%	(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
	97.2%	(tan.f64 eps)
✓	8.2%	(neg.f64 x)
✓	97.2%	eps

Compiler

Compiled 2 473 to 813 computations (67.1% saved)

regimes64.0ms (0.4%)

Memory

10.3MiB live, 124.2MiB allocated

Counts

73 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 eps (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #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 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (neg.f64 eps)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.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)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 eps (.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))) (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps)) (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps))))) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))
(fma.f64 (exp.f64 (.f64 (log1p.f64 (neg.f64 (.f64 (tan.f64 x) (tan.f64 eps)))) #s(literal -1 binary64))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) (tan.f64 eps))) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps))) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (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)
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (.f64 (cos.f64 eps) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (.f64 (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 eps)))))
(fma.f64 (fma.f64 eps (fma.f64 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))))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #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))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps 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)

Outputs

(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)))))

Calls

3 calls:

23.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
20.0ms	eps
19.0ms	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)

regimes54.0ms (0.3%)

Memory

-5.7MiB live, 116.8MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 eps (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #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 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (neg.f64 eps)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.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)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (.f64 eps (.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (+.f64 (tan.f64 x) (tan.f64 eps)) (neg.f64 (tan.f64 x)))
(fma.f64 eps (/.f64 (*.f64 (sin.f64 x) eps) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (cos.f64 (+.f64 x eps)) #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 (fma.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))

Outputs

(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 eps (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)))))))

Calls

3 calls:

18.0ms	eps
18.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
16.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes108.0ms (0.7%)

Memory

5.9MiB live, 82.2MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 eps (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(.f64 (/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (cos.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps)))
(/.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))) (cos.f64 x))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps))) (tan.f64 x))
(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (sin.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/5040 binary64)) #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 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (neg.f64 eps)))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (-.f64 (cos.f64 x) (.f64 eps (sin.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)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)))) #s(literal -1 binary64)))

Outputs

(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (fma.f64 eps (*.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))

Calls

3 calls:

77.0ms	x
15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
14.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes40.0ms (0.3%)

Memory

4.4MiB live, 46.9MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 eps (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) eps) (.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))

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

Calls

3 calls:

17.0ms	eps
11.0ms	x
11.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 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)

regimes33.0ms (0.2%)

Memory

17.5MiB live, 55.4MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 eps (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (cos.f64 (+.f64 eps x))) (cos.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:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`eps`
99.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes60.0ms (0.4%)

Memory

-0.6MiB live, 37.8MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))
(/.f64 (/.f64 eps (cos.f64 (+.f64 eps x))) (cos.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 x eps)))) (tan.f64 x))

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

Calls

3 calls:

38.0ms	x
10.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
10.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes39.0ms (0.2%)

Memory

-42.2MiB live, 48.1MiB allocated

Counts

35 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))

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

Calls

3 calls:

15.0ms	x
14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
9.0ms	eps

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes29.0ms (0.2%)

Memory

0.9MiB live, 39.6MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))
(/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 eps (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) (.f64 x (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) eps))
(/.f64 (fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (cos.f64 (+.f64 x eps))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) 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 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) eps) (.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 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 x) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(/.f64 (sin.f64 eps) (cos.f64 eps))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Memory

-0.5MiB live, 37.4MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)
(fma.f64 eps (*.f64 x x) eps)
(fma.f64 eps (*.f64 x (+.f64 eps 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)
(/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 eps (fma.f64 x eps (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x x (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 eps (fma.f64 x (+.f64 eps x) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (*.f64 eps #s(literal 2/3 binary64)) eps) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (.f64 (.f64 eps eps) #s(literal 4/3 binary64)) eps) (.f64 #s(literal 1/3 binary64) (.f64 eps eps))) eps)
(fma.f64 (.f64 eps (.f64 eps eps)) (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)) eps)
(fma.f64 eps (fma.f64 x (fma.f64 x (fma.f64 eps (.f64 eps #s(literal 4/3 binary64)) #s(literal 1 binary64)) eps) (.f64 #s(literal 1/3 binary64) (*.f64 eps eps))) eps)
(.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 (.f64 eps eps) #s(literal 4/3 binary64) #s(literal 1 binary64)) eps) (.f64 (.f64 eps eps) #s(literal 1/3 binary64))) #s(literal 1 binary64)) eps)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 eps #s(literal 17/45 binary64)) (*.f64 eps #s(literal 2/3 binary64))) eps) eps)
(tan.f64 eps)
(-.f64 (tan.f64 (+.f64 x eps)) x)
(/.f64 eps (cos.f64 eps))
(-.f64 (tan.f64 (+.f64 x eps)) (fma.f64 x (.f64 #s(literal 1/3 binary64) (.f64 x x)) x))

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

Calls

3 calls:

6.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
6.0ms	x
6.0ms	eps

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`eps`
97.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

Memory

-25.2MiB live, 13.2MiB allocated

Accuracy

Total -57.0b remaining (-3126.2%)

Threshold costs -57b (-3126.2%)

Counts

2 → 1

Calls

Call 1

Inputs
eps
(neg.f64 x)

Outputs
eps

Calls

3 calls:

3.0ms	eps
1.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
1.0ms	x

Results

Accuracy	Segments	Branch
97.2%	1	`x`
97.2%	1	`eps`
97.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify11.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
10×	`+-commutative_binary64`
6×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	187
1	78	187
2	86	187
3	93	187
4	96	187
5	97	187

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.1s (7.3%)

Memory

-1.3MiB live, 884.9MiB allocated

Rules

14 592×	`accelerator-lowering-fma.f32`
14 592×	`accelerator-lowering-fma.f64`
10 182×	`accelerator-lowering-fma.f32`
10 182×	`accelerator-lowering-fma.f64`
9 764×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1351
1	464	1285
2	1534	1274
3	5949	1242
0	8534	1195
0	757	8273
1	2485	8019
0	8491	7410
0	42	176
1	283	174
2	2446	174
0	8693	160
0	628	7799
1	1996	7643
2	6668	7540
0	8014	7259
0	6	16
1	46	16
2	398	16
3	6123	16
0	8101	16
0	566	5077
1	1810	4984
2	5880	4952
0	8696	4757

Stop Event

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

Compiler

Compiled 622 to 312 computations (49.8% saved)

preprocess128.0ms (0.8%)

Memory: -2.8MiB live, 278.1MiB allocated
Compiler: Compiled 478 to 174 computations (63.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
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	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
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

analyze235.0ms (1.5%)

sample6.5s (41.6%)

preprocess31.0ms (0.2%)

explain337.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize47.0ms (0.3%)

series11.0ms (0.1%)

rewrite276.0ms (1.8%)

simplify398.0ms (2.5%)

eval40.0ms (0.3%)

prune60.0ms (0.4%)

simplify350.0ms (2.2%)

localize250.0ms (1.6%)

series78.0ms (0.5%)

rewrite407.0ms (2.6%)

simplify489.0ms (3.1%)

eval155.0ms (1%)

prune109.0ms (0.7%)

simplify600.0ms (3.8%)

localize250.0ms (1.6%)

series32.0ms (0.2%)

rewrite686.0ms (4.4%)

simplify362.0ms (2.3%)

eval187.0ms (1.2%)

prune165.0ms (1%)

simplify307.0ms (2%)

localize229.0ms (1.5%)

series57.0ms (0.4%)

rewrite437.0ms (2.8%)

simplify442.0ms (2.8%)

eval197.0ms (1.3%)

prune192.0ms (1.2%)

regimes64.0ms (0.4%)

regimes54.0ms (0.3%)

regimes108.0ms (0.7%)

regimes40.0ms (0.3%)

regimes33.0ms (0.2%)

regimes60.0ms (0.4%)

regimes39.0ms (0.2%)

regimes29.0ms (0.2%)

regimes20.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0%)

simplify11.0ms (0.1%)

soundness1.1s (7.3%)

preprocess128.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	35
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