Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze51.0ms (0.4%)

Memory

28.2MiB live, 121.1MiB allocated; 11ms collecting garbage

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)

sample8.8s (63.6%)

Memory

-135.4MiB live, 8 046.3MiB allocated; 2.7s collecting garbage

Samples

3.3s	5 801×	2	valid
3.2s	25 643×	0	invalid
571.0ms	2 395×	1	valid
8.0ms	60×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.7s

ival-cos: 2.3s (40.7% of total)

ival-sub: 801.0ms (14% of total)

const: 708.0ms (12.4% of total)

adjust: 483.0ms (8.4% of total)

ival-mult: 309.0ms (5.4% of total)

ival-<=: 253.0ms (4.4% of total)

ival-add: 238.0ms (4.2% of total)

ival-fabs: 225.0ms (3.9% of total)

ival-<: 212.0ms (3.7% of total)

ival-and: 108.0ms (1.9% of total)

exact: 46.0ms (0.8% of total)

ival-assert: 13.0ms (0.2% of total)

Bogosity

explain261.0ms (1.9%)

Memory

3.9MiB live, 153.0MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
137	3	(1.9238159638178992e-159 1.4515716861168248e-164)	0	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
5	0	-	2	(11.153383610290986 3.491645850641634e-12)	`(cos.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	140	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	3	2

Confusion

	Predicted +	Predicted -
+	139	0
-	3	114

Precision

0.9788732394366197

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	3	0	114

Precision?

0.9788732394366197

Recall?

1.0

Freqs

test

number	freq
0	114
1	141
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

137.0ms	344×	2	valid
22.0ms	158×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-cos: 100.0ms (73.4% of total)

adjust: 25.0ms (18.4% of total)

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

ival-add: 4.0ms (2.9% of total)

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

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

preprocess14.0ms (0.1%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	46	41
2	86	41
3	116	41
4	118	41
0	6	7
0	10	7
1	22	7
2	40	7
3	64	7
4	71	7
0	71	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(cos.f64 x)
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	22	18
2	40	18
3	64	18
4	71	18
0	71	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(cos.f64 x)

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

localize145.0ms (1.1%)

Memory

-1.7MiB live, 43.8MiB allocated; 9ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x eps)
accuracy	0.0	(cos.f64 x)
accuracy	0.14759329416710693	(cos.f64 (+.f64 x eps))
accuracy	30.840711390015592	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Samples

75.0ms	79×	1	valid
63.0ms	172×	2	valid
0.0ms	5×	0	valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-sub: 67.0ms (53% of total)

ival-cos: 43.0ms (34% of total)

adjust: 13.0ms (10.3% of total)

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

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

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

series4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

4 → 33

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(cos.f64 x)

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(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))))
eps
(+ eps x)
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 (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin 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))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))
0.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x))

simplify159.0ms (1.2%)

Memory

-21.6MiB live, 75.5MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	296
1	308	293
2	779	293
3	2454	292
4	6244	292
0	8035	272

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 31

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(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))))
eps
(+ eps x)
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 (+ eps x)) (cos x))
(cos (+ eps x))
x
(* x (+ 1 (/ eps x)))
(cos x)
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* eps (sin x)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin 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))))
(* eps (+ 1 (/ x eps)))
(- (cos (- x (* -1 eps))) (cos x))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

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

rewrite142.0ms (1%)

Memory

40.3MiB live, 128.1MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	10	16
1	62	16
2	615	16
0	8130	16

Stop Event

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

Counts

4 → 138

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
(+.f64 x eps)
(cos.f64 x)

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

eval32.0ms (0.2%)

Memory: -6.7MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 780 to 715 computations (85% saved)

prune30.0ms (0.2%)

Memory

-31.3MiB live, 24.9MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	149	12	161
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	13	162

Accuracy

99.8%

Counts

162 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	51.6%	(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
✓	51.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	49.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	49.2%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
	49.1%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	49.1%	(-.f64 #s(approx (cos (+ x eps)) (cos.f64 eps)) (cos.f64 x))
	79.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
	52.1%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
▶	49.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
▶	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
▶	78.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 407 to 286 computations (29.7% saved)

simplify104.0ms (0.8%)

Memory

39.1MiB live, 130.5MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 (cos.f64 x) eps)
cost-diff	0	(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
cost-diff	0	(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
cost-diff	0	#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x eps)
cost-diff	0	(cos.f64 (+.f64 x eps))
cost-diff	0	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 x)
cost-diff	0	(neg.f64 eps)
cost-diff	0	(*.f64 (neg.f64 eps) (sin.f64 x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
cost-diff	0	(cos.f64 eps)
cost-diff	0	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 x)
cost-diff	0	(fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
cost-diff	0	(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	254
0	66	254
1	127	254
2	320	254
3	849	254
4	2086	254
5	3900	254
6	5462	254
7	7108	254
0	8200	254

Stop Event

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

Calls

Call 1

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

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

localize323.0ms (2.3%)

Memory

5.9MiB live, 288.6MiB allocated; 56ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.015625	(*.f64 (cos.f64 x) eps)
accuracy	0.0234375	(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
accuracy	0.1328125	(.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
accuracy	0.7893557582305636	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
accuracy	0.14759329416710693	(cos.f64 (+.f64 x eps))
accuracy	0.19921875	(.f64 #s(literal 1/24 binary64) (.f64 x x))
accuracy	2.072661206600139	#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy	30.840711390015592	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy	0.0	(sin.f64 x)
accuracy	0.0	(neg.f64 eps)
accuracy	0.0234375	(*.f64 (neg.f64 eps) (sin.f64 x))
accuracy	13.538158313031401	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
accuracy	0.0	(cos.f64 eps)
accuracy	30.91519306480774	(-.f64 (cos.f64 eps) #s(literal 1 binary64))
accuracy	31.98357022050608	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
accuracy	0.015625	(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
accuracy	0.02734375	(fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (*.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps))
accuracy	0.1328125	(.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps)
accuracy	0.6840130351446133	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))

Samples

224.0ms	173×	2	valid
64.0ms	78×	1	valid
2.0ms	1×	3	valid
1.0ms	4×	0	valid

Compiler

Compiled 197 to 36 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 242.0ms

ival-cos: 93.0ms (38.5% of total)

adjust: 65.0ms (26.9% of total)

ival-mult: 41.0ms (17% of total)

ival-sub: 18.0ms (7.4% of total)

ival-add: 12.0ms (5% of total)

const: 7.0ms (2.9% of total)

ival-sin: 4.0ms (1.7% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series26.0ms (0.2%)

Memory

-21.8MiB live, 25.5MiB allocated; 7ms collecting garbage

Counts

20 → 95

Calls

Call 1

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

Outputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow 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))))
eps
(+ eps x)
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)))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* 1/24 (pow x 2))
(- (cos (+ eps x)) (cos x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(sin x)
(* -1 (* eps (sin x)))
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(cos x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(* -1/2 (* eps (cos x)))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 eps)
(+ (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))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* eps (+ 1 (/ x eps)))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (* (cos x) -1/2) eps) (* 1/24 (* x x)))
4.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (* (cos x) -1/2) eps) (* 1/24 (* x x)))
4.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (* (cos x) -1/2) eps) (* 1/24 (* x x)))
3.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (* (cos x) -1/2) eps) (* 1/24 (* x x)))
3.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (sin x) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (neg eps) (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (* (cos x) -1/2) eps) (* 1/24 (* x x)))

simplify153.0ms (1.1%)

Memory

1.6MiB live, 90.8MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	1205
1	1070	1188
2	3838	1144
0	8220	1062

Stop Event

1×	iter limit
1×	node limit

Counts

95 → 93

Calls

Call 1

Inputs
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 (pow eps 2))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow 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))))
eps
(+ eps x)
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)))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(* 1/24 (pow x 2))
(- (cos (+ eps x)) (cos x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(sin x)
(* -1 (* eps (sin x)))
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(cos x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(* -1/2 (* eps (cos x)))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(* -1 eps)
(+ (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))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* eps (+ 1 (/ x eps)))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))

Outputs
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 eps) x) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(fma.f64 (fma.f64 (.f64 (.f64 eps eps) x) #s(literal 1/4 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(fma.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(fma.f64 (-.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) x (.f64 #s(literal 1/6 binary64) eps))) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64))) x)
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))) (*.f64 (neg.f64 x) eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 (.f64 #s(literal 1/5040 binary64) x) x #s(literal -1/120 binary64))) (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))) x)
(cos eps)
(cos.f64 eps)
(+ (cos eps) (* -1 (* x (sin eps))))
(fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps))
(+ (cos eps) (* x (- (* -1/2 (* x (cos eps))) (sin eps))))
(fma.f64 (-.f64 (.f64 (.f64 (cos.f64 eps) x) #s(literal -1/2 binary64)) (sin.f64 eps)) x (cos.f64 eps))
(+ (cos eps) (* x (- (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))) (sin eps))))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 eps) x) (*.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x) (sin.f64 eps)) x (cos.f64 eps))
eps
(+ eps x)
(+.f64 eps x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) eps) x))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(-.f64 x (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
(+ eps (* -1/2 (* eps (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps))
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64)))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 eps (fma.f64 #s(literal 1/1440 binary64) (.f64 x x) #s(literal -1/48 binary64))) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(* 1/24 (pow x 2))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) eps)
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (sin.f64 x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))))
(sin x)
(sin.f64 x)
(* -1 (* eps (sin x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(cos (+ eps x))
(cos.f64 (+.f64 eps x))
(* x (+ 1 (/ eps x)))
(fma.f64 (/.f64 eps x) x x)
(cos x)
(cos.f64 x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps)
(+ (sin x) (* 1/2 (* eps (cos x))))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(* -1/2 (* eps (cos x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos (- eps (* -1 x)))
(cos.f64 (+.f64 eps x))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (sin.f64 x) #s(literal 1/6 binary64) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps)
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(neg.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x))
(* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))
(.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) eps) #s(literal 1/2 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))
(.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) eps) #s(literal 1/2 binary64))) (.f64 eps eps))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/40320 (pow eps 2)) 1/720)))) 1/2))
(.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/40320 binary64) (.f64 eps eps)) #s(literal 1/720 binary64)) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) eps) #s(literal 1/2 binary64))) (.f64 eps eps))
(+ 1 (* -1/2 (pow eps 2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(fma.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/720 binary64) (-.f64 (.f64 (.f64 #s(literal 1/24 binary64) eps) eps) #s(literal 1/2 binary64))) (*.f64 eps eps) #s(literal 1 binary64))
(* -1 eps)
(neg.f64 eps)
(+ (cos x) (* -1 (* eps (sin x))))
(fma.f64 (neg.f64 (sin.f64 x)) eps (cos.f64 x))
(+ (cos x) (* eps (- (* -1/2 (* eps (cos x))) (sin x))))
(fma.f64 (neg.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps (cos.f64 x))
(+ (cos x) (* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x))))
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps (cos.f64 x))
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (sin.f64 x))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))
(* 1/6 (* (pow eps 2) (sin x)))
(.f64 (.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/6 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 (sin.f64 x) #s(literal 1/6 binary64))) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(.f64 (neg.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps))
(* eps (+ 1 (/ x eps)))
(fma.f64 (/.f64 x eps) eps eps)
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) eps) eps)
(* 1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 (sin.f64 x) #s(literal 1/6 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(.f64 (neg.f64 (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps))
(cos (- x (* -1 eps)))
(cos.f64 (+.f64 eps x))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 eps)) #s(literal 1 binary64)) (neg.f64 eps))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)

rewrite162.0ms (1.2%)

Memory

23.8MiB live, 122.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	192
0	66	192
1	248	192
2	2017	192
0	8588	192

Stop Event

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

Counts

20 → 233

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)) eps))
(.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)) eps)
(.f64 eps (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64))) eps) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 3 binary64))) eps) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x))) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))
(/.f64 (.f64 eps (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x))) (pow.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) eps (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) eps))
(fma.f64 eps (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) (.f64 eps (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)))
(fma.f64 eps (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (.f64 eps (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) eps) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))
(+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x)) eps))
(+.f64 (.f64 eps (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 eps eps) #s(literal -1 binary64)) (sin.f64 x))) (.f64 eps (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)))
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(fma.f64 (neg.f64 eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (neg.f64 eps) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (neg.f64 eps) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (neg.f64 eps) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps)) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps)))
(+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x)) (-.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))) (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (sin.f64 x) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (cos.f64 x) (sin.f64 x))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x))))
(-.f64 (sin.f64 x) (.f64 (neg.f64 (.f64 (cos.f64 x) eps)) #s(literal 1/2 binary64)))
(-.f64 (sin.f64 x) (.f64 (neg.f64 (cos.f64 x)) (.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (sin.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64) (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 x))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) eps))
(.f64 eps (.f64 #s(literal -1/2 binary64) (cos.f64 x)))
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x))) x)
(.f64 (fabs.f64 (.f64 #s(literal 1/24 binary64) x)) x)
(.f64 (.f64 #s(literal 1/24 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/24 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/24 binary64)))
(.f64 (.f64 x x) #s(literal 1/24 binary64))
(.f64 #s(literal 1/24 binary64) (.f64 x x))
(.f64 x (fabs.f64 (.f64 (neg.f64 x) #s(literal 1/24 binary64))))
(.f64 x (fabs.f64 (.f64 #s(literal 1/24 binary64) x)))
(.f64 x (.f64 #s(literal 1/24 binary64) x))
(sqrt.f64 (*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64))))
(fabs.f64 (.f64 (.f64 x x) #s(literal 1/24 binary64)))

eval41.0ms (0.3%)

Memory: -15.5MiB live, 75.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 10 434 to 1 344 computations (87.1% saved)

prune38.0ms (0.3%)

Memory

-5.4MiB live, 50.7MiB allocated; 4ms collecting garbage

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	310	19	329
Fresh	2	5	7
Picked	0	5	5
Done	0	1	1
Total	312	30	342

Accuracy

100.0%

Counts

342 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
▶	51.6%	(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
✓	51.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	49.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	49.1%	(-.f64 #s(approx (cos (+ x eps)) (cos.f64 eps)) (cos.f64 x))
	79.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
	52.1%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
▶	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps))))
▶	49.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	49.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	48.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)))) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) eps))
	97.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	78.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
	95.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
	95.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (-.f64 x (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 eps)))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	95.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	50.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	95.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))))
	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))))
	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
▶	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 1 552 to 1 036 computations (33.2% saved)

simplify130.0ms (0.9%)

Memory

2.6MiB live, 49.5MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
cost-diff	0	(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
cost-diff	0	(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
cost-diff	4	(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))
cost-diff	0	(-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
cost-diff	1	(+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))
cost-diff	4	(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
cost-diff	0	#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
cost-diff	0	(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) eps)
cost-diff	0	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
cost-diff	0	(sin.f64 x)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps))))
cost-diff	1	(.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps))
cost-diff	2	(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	325
0	79	309
1	146	297
2	346	292
3	830	292
4	1770	291
5	2777	291
6	3534	291
7	5024	291
8	7747	291
0	8370	288

Stop Event

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

Calls

Call 1

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

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

localize587.0ms (4.3%)

Memory

14.6MiB live, 335.1MiB allocated; 63ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
accuracy	0.015625	(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
accuracy	0.1385765617897384	(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))
accuracy	30.840711390015592	(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
accuracy	0.01297628162065376	(sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64))))
accuracy	0.015625	(+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))
accuracy	30.91519306480774	(-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64))
accuracy	31.98357022050608	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
accuracy	0.1328125	(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
accuracy	0.19921875	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
accuracy	0.6840130351446133	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
accuracy	2.895998371077699	#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps)))
accuracy	0.0	(*.f64 (neg.f64 x) eps)
accuracy	0.0	(neg.f64 x)
accuracy	2.9041579007667697	#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
accuracy	13.538158313031401	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
accuracy	0.01171875	(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps)))
accuracy	0.015625	(*.f64 (cos.f64 x) eps)
accuracy	0.01953125	(.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps))
accuracy	0.7893557582305636	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps))))

Samples

443.0ms	173×	2	valid
101.0ms	78×	1	valid
3.0ms	1×	3	valid
1.0ms	4×	0	valid

Compiler

Compiled 229 to 45 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 447.0ms

ival-sin: 241.0ms (53.9% of total)

adjust: 64.0ms (14.3% of total)

ival-mult: 46.0ms (10.3% of total)

ival-cos: 45.0ms (10.1% of total)

ival-add: 21.0ms (4.7% of total)

ival-sub: 14.0ms (3.1% of total)

ival-div: 5.0ms (1.1% of total)

const: 4.0ms (0.9% of total)

ival-pi: 2.0ms (0.4% of total)

ival-neg: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series20.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

22 → 117

Calls

Call 1

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

Outputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 x)
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(- (sin (+ eps (* 1/2 (PI)))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* -1/2 (* (pow eps 2) (cos x)))
(- (cos (+ eps x)) (cos x))
(sin x)
(* -1 (* eps (sin x)))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* x (- (* 1/6 (pow eps 2)) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(sin (+ eps (+ x (* 1/2 (PI)))))
(- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(* eps (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* eps (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* eps (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* eps (cos (* 1/2 (PI))))))))))
(+ (* -1 eps) (* 1/2 (PI)))
(- (sin (* 1/2 (PI))) 1)
(- (+ (sin (* 1/2 (PI))) (* -1 (* eps (cos (* 1/2 (PI)))))) 1)
(- (+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* eps (sin (* 1/2 (PI)))))))) 1)
(- (+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* eps (cos (* 1/2 (PI)))))))))) 1)
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(- (sin (+ x (* 1/2 (PI)))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(sin (- (* 1/2 (PI)) eps))
(* -1 eps)
(* eps (- (* 1/2 (/ (PI) eps)) 1))
(- (sin (- (* 1/2 (PI)) eps)) 1)
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(sin (+ (* -1 eps) (* 1/2 (PI))))
(* -1 (* eps (+ 1 (* -1/2 (/ (PI) eps)))))
(- (sin (+ (* -1 eps) (* 1/2 (PI)))) 1)
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	((+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (* (* (* (cos x) eps) 1/2) (neg eps)) (- (cos (+ x eps)) (cos x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (sin (+ (neg eps) (/ (PI) 2))) (+ (neg eps) (/ (PI) 2)) (- (cos (+ x eps)) (cos x)) (- (sin (+ (neg eps) (/ (PI) 2))) 1) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* (cos x) eps) (* (* eps eps) 1/6))
3.0ms	eps	@	inf	((+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (* (* (* (cos x) eps) 1/2) (neg eps)) (- (cos (+ x eps)) (cos x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (sin (+ (neg eps) (/ (PI) 2))) (+ (neg eps) (/ (PI) 2)) (- (cos (+ x eps)) (cos x)) (- (sin (+ (neg eps) (/ (PI) 2))) 1) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* (cos x) eps) (* (* eps eps) 1/6))
3.0ms	x	@	inf	((+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (* (* (* (cos x) eps) 1/2) (neg eps)) (- (cos (+ x eps)) (cos x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (sin (+ (neg eps) (/ (PI) 2))) (+ (neg eps) (/ (PI) 2)) (- (cos (+ x eps)) (cos x)) (- (sin (+ (neg eps) (/ (PI) 2))) 1) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* (cos x) eps) (* (* eps eps) 1/6))
3.0ms	eps	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (* (* (* (cos x) eps) 1/2) (neg eps)) (- (cos (+ x eps)) (cos x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (sin (+ (neg eps) (/ (PI) 2))) (+ (neg eps) (/ (PI) 2)) (- (cos (+ x eps)) (cos x)) (- (sin (+ (neg eps) (/ (PI) 2))) 1) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* (cos x) eps) (* (* eps eps) 1/6))
3.0ms	x	@	-inf	((+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (* (* (* (cos x) eps) 1/2) (neg eps)) (- (cos (+ x eps)) (cos x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (sin (+ (neg eps) (/ (PI) 2))) (+ (neg eps) (/ (PI) 2)) (- (cos (+ x eps)) (cos x)) (- (sin (+ (neg eps) (/ (PI) 2))) 1) (sin (+ (+ (/ (PI) 2) x) eps)) (- (sin (+ (+ (/ (PI) 2) x) eps)) (cos x)) (+ (+ (/ (PI) 2) x) eps) (+ (/ (PI) 2) x) (* (cos x) eps) (* (* eps eps) 1/6))

simplify146.0ms (1.1%)

Memory

8.6MiB live, 54.9MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	1693
1	1345	1667
2	4922	1645
0	8755	1493

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 115

Calls

Call 1

Inputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(* -1 x)
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(* -1/2 eps)
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
(sin (+ eps (* 1/2 (PI))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* -1/2 (* x (sin (+ eps (* 1/2 (PI)))))))))
(+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))
(- (sin (+ eps (* 1/2 (PI)))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (cos (+ eps (* 1/2 (PI)))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (* -1/2 (sin (+ eps (* 1/2 (PI)))))))))) 1)
(- (+ (sin (+ eps (* 1/2 (PI)))) (* x (+ (cos (+ eps (* 1/2 (PI)))) (* x (+ 1/2 (+ (* -1/2 (sin (+ eps (* 1/2 (PI))))) (* -1/6 (* x (cos (+ eps (* 1/2 (PI)))))))))))) 1)
(+ eps (* 1/2 (PI)))
(+ eps (+ x (* 1/2 (PI))))
(* 1/2 (PI))
(+ x (* 1/2 (PI)))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* -1/2 (* (pow eps 2) (cos x)))
(- (cos (+ eps x)) (cos x))
(sin x)
(* -1 (* eps (sin x)))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* x (- (* 1/6 (pow eps 2)) 1))
(* x (- (+ (* -1/2 (/ eps x)) (* 1/6 (pow eps 2))) 1))
(sin (+ eps (+ x (* 1/2 (PI)))))
(- (sin (+ eps (+ x (* 1/2 (PI))))) (cos x))
(* x (+ 1 (+ (* 1/2 (/ (PI) x)) (/ eps x))))
(* x (+ 1 (* 1/2 (/ (PI) x))))
(* eps (cos x))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (+ (* -1 (- (* 1/6 (pow eps 2)) 1)) (* 1/2 (/ eps x)))))
(sin (- (+ eps (* 1/2 (PI))) (* -1 x)))
(- (sin (- (+ eps (* 1/2 (PI))) (* -1 x))) (cos x))
(* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))
(* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(+ (* -1 x) (* -1/2 eps))
(+ (* -1 x) (* eps (- (* 1/6 (* eps x)) 1/2)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -1 (* eps (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* eps (sin (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* eps (cos (* 1/2 (PI))))))))))
(+ (* -1 eps) (* 1/2 (PI)))
(- (sin (* 1/2 (PI))) 1)
(- (+ (sin (* 1/2 (PI))) (* -1 (* eps (cos (* 1/2 (PI)))))) 1)
(- (+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* -1/2 (* eps (sin (* 1/2 (PI)))))))) 1)
(- (+ (sin (* 1/2 (PI))) (* eps (+ (* -1 (cos (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (* 1/2 (PI)))) (* 1/6 (* eps (cos (* 1/2 (PI)))))))))) 1)
(sin (+ x (* 1/2 (PI))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))
(+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))
(- (sin (+ x (* 1/2 (PI)))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI)))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI))))))))) (cos x))
(- (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI))))))))))) (cos x))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) x))
(* (pow eps 2) (- (* 1/6 x) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(sin (- (* 1/2 (PI)) eps))
(* -1 eps)
(* eps (- (* 1/2 (/ (PI) eps)) 1))
(- (sin (- (* 1/2 (PI)) eps)) 1)
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(sin (+ (* -1 eps) (* 1/2 (PI))))
(* -1 (* eps (+ 1 (* -1/2 (/ (PI) eps)))))
(- (sin (+ (* -1 eps) (* 1/2 (PI)))) 1)
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))

Outputs
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 2) (pow x 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (.f64 (.f64 (*.f64 eps x) eps) x) #s(literal 1/4 binary64)))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (* (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2)))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 (.f64 eps x) eps) x) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* (pow x 2) (+ (* 1/4 (pow eps 2)) (* (pow x 2) (+ (* -1/48 (pow eps 2)) (* 1/1440 (* (pow eps 2) (pow x 2))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) eps) eps (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 (.f64 eps x) eps) x) (.f64 #s(literal -1/48 binary64) (.f64 eps eps))) x) x (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) (*.f64 x x)))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) #s(literal 1/6 binary64)) x)
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/6 binary64) eps)) (.f64 (neg.f64 x) eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
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(.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal -1/2 binary64) eps)) (.f64 eps eps))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 2))) (* 1/6 x)) (* 1/2 (/ 1 eps))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) eps)) eps) eps)
(sin (- (* 1/2 (PI)) eps))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (* 1/2 (/ (PI) eps)) 1))
(.f64 (-.f64 (.f64 (/.f64 (PI.f64) eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) eps)
(- (sin (- (* 1/2 (PI)) eps)) 1)
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 eps))) #s(literal 1 binary64))
(* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))
(fma.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps) eps eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (/ x eps)) eps)) (* 1/6 x)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) #s(literal -1/2 binary64)) eps)) eps) eps)
(sin (+ (* -1 eps) (* 1/2 (PI))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 eps)))
(* -1 (* eps (+ 1 (* -1/2 (/ (PI) eps)))))
(*.f64 (fma.f64 (/.f64 (PI.f64) eps) #s(literal 1/2 binary64) #s(literal -1 binary64)) eps)
(- (sin (+ (* -1 eps) (* 1/2 (PI)))) 1)
(-.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 eps))) #s(literal 1 binary64))
(sin (- (+ x (* 1/2 (PI))) (* -1 eps)))
(sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))
(- (sin (- (+ x (* 1/2 (PI))) (* -1 eps))) (cos x))
(-.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))
(* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (PI.f64) #s(literal -1/2 binary64) (neg.f64 x)) eps) #s(literal 1 binary64)) (neg.f64 eps))

rewrite150.0ms (1.1%)

Memory

-28.9MiB live, 62.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	274
0	79	258
1	319	246
2	2671	246
0	8645	238

Stop Event

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

Counts

22 → 319

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(.f64 (neg.f64 eps) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 (neg.f64 eps) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (neg.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)))) (neg.f64 (.f64 (neg.f64 eps) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64))) (.f64 (neg.f64 eps) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64))))
(neg.f64 (fma.f64 (sin.f64 x) eps (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps)) eps)))
(neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps (*.f64 (sin.f64 x) eps)))
(neg.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x))))
(fma.f64 (.f64 (neg.f64 eps) (.f64 (cos.f64 x) eps)) #s(literal 1/2 binary64) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 (neg.f64 eps) (cos.f64 x)) (.f64 #s(literal 1/2 binary64) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 eps)) (.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) (neg.f64 eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (.f64 (cos.f64 x) eps) (.f64 #s(literal 1/2 binary64) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (cos.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) eps) (neg.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (cos.f64 x) (.f64 eps (.f64 #s(literal 1/2 binary64) (neg.f64 eps))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))
(fma.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))
(fma.f64 eps (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(-.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (neg.f64 eps) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps) #s(literal 2 binary64)) (.f64 (neg.f64 eps) (-.f64 (sin.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps))))))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 (.f64 (cos.f64 x) eps)) (.f64 #s(literal 1/2 binary64) (neg.f64 eps))))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 (neg.f64 eps)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps))))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) eps))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) (neg.f64 eps)))
(-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps)))
(-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (neg.f64 (neg.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) eps))
(+.f64 (/.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))))
(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps))
(+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps) (.f64 (sin.f64 x) (neg.f64 eps)))
(.f64 (.f64 (neg.f64 eps) (*.f64 (cos.f64 x) eps)) #s(literal 1/2 binary64))
(.f64 (.f64 (neg.f64 eps) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) eps))
(.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 eps)) (*.f64 (cos.f64 x) eps))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps)) (neg.f64 eps))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (cos.f64 x) eps) (neg.f64 eps)))
(.f64 (.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (neg.f64 eps)))
(.f64 (cos.f64 x) (.f64 (*.f64 #s(literal 1/2 binary64) eps) (neg.f64 eps)))
(.f64 (cos.f64 x) (.f64 eps (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))))
(.f64 (neg.f64 eps) (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps)))
(.f64 eps (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps))
(neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 x) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps)))
(sin.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps))
(*.f64 (neg.f64 x) eps)
(*.f64 eps (neg.f64 x))
(*.f64 x (neg.f64 eps))
(neg.f64 (*.f64 eps x))
(neg.f64 x)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
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(-.f64 (/.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(+.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
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(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal -2 binary64) (.f64 (-.f64 x eps) (neg.f64 (PI.f64))))) (neg.f64 (*.f64 (-.f64 x eps) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal 2 binary64) (.f64 (-.f64 x eps) (PI.f64)))) (neg.f64 (*.f64 (-.f64 x eps) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (neg.f64 (PI.f64))))) (neg.f64 (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -2 binary64))))
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(/.f64 (neg.f64 (fma.f64 (PI.f64) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (.f64 #s(literal 2 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64))) (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 eps eps))) (neg.f64 (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal -2 binary64) (.f64 (-.f64 x eps) (neg.f64 (PI.f64)))) (*.f64 (-.f64 x eps) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (+.f64 eps x) (-.f64 x eps)) #s(literal 2 binary64) (.f64 (-.f64 x eps) (PI.f64))) (*.f64 (-.f64 x eps) #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) (neg.f64 (PI.f64)))) (.f64 (fma.f64 eps (-.f64 eps x) (.f64 x x)) #s(literal -2 binary64)))
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(/.f64 (fma.f64 (neg.f64 (PI.f64)) (-.f64 x eps) (.f64 #s(literal -2 binary64) (.f64 (+.f64 eps x) (-.f64 x eps)))) (*.f64 #s(literal -2 binary64) (-.f64 x eps)))
(/.f64 (fma.f64 (neg.f64 (PI.f64)) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 #s(literal -2 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal -2 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (fma.f64 (PI.f64) (-.f64 x eps) (.f64 #s(literal 2 binary64) (.f64 (+.f64 eps x) (-.f64 x eps)))) (*.f64 #s(literal 2 binary64) (-.f64 x eps)))
(/.f64 (fma.f64 (PI.f64) (fma.f64 eps (-.f64 eps x) (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 eps (-.f64 eps x) (.f64 x x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 eps))) (sqrt.f64 (neg.f64 (neg.f64 eps))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) (+.f64 eps x))
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (+.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (+.f64 eps x))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (/.f64 (*.f64 eps eps) (-.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)))
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps) x)
(+.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 2 binary64)))))
(+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (+.f64 eps x))
(+.f64 (+.f64 eps x) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 x (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) eps))
(+.f64 x (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (PI.f64)) (fabs.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))) x)
(fma.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (fabs.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 #s(literal 1/6 binary64) eps)) eps)
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 1/6 binary64) eps) eps)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (fabs.f64 (.f64 (*.f64 eps eps) #s(literal 1 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal 1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 1/6 binary64)))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 1/6 binary64))))
(.f64 eps (fabs.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) #s(literal 1 binary64))))
(.f64 eps (fabs.f64 (.f64 #s(literal 1/6 binary64) eps)))
(.f64 eps (.f64 (*.f64 #s(literal 1/6 binary64) eps) #s(literal 1 binary64)))
(.f64 eps (.f64 #s(literal 1/6 binary64) eps))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(fabs.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))

eval92.0ms (0.7%)

Memory: -7.1MiB live, 44.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 12 707 to 1 951 computations (84.6% saved)

prune30.0ms (0.2%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Pruning

35 alts after pruning (28 fresh and 7 done)

	Pruned	Kept	Total
New	405	13	418
Fresh	4	15	19
Picked	4	1	5
Done	0	6	6
Total	413	35	448

Accuracy

100.0%

Counts

448 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	51.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	51.6%	(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
✓	51.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	49.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	79.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
	52.1%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
▶	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
	3.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 #s(approx (+ (neg eps) (/ (PI) 2)) (neg.f64 eps))) #s(literal 1 binary64)))
✓	49.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	48.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)))) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) eps))
▶	97.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	78.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
	95.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
	95.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (-.f64 x (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 eps)))
▶	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
▶	50.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	95.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	48.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps) x))) eps))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	95.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))))
	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))))
▶	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
✓	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 1 964 to 1 283 computations (34.7% saved)

simplify91.0ms (0.7%)

Memory

-14.9MiB live, 33.8MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps))
cost-diff	0	(fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x))
cost-diff	0	(.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
cost-diff	0	#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
cost-diff	0	(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
cost-diff	4	(fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)))
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
cost-diff	0	#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
cost-diff	1	(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) eps)
cost-diff	0	#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps))
cost-diff	0	(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
cost-diff	0	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
cost-diff	2	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	605
0	99	605
1	207	605
2	555	595
3	1889	585
4	4550	585
0	8092	565

Stop Event

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

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
eps
(*.f64 (sin.f64 x) (neg.f64 eps))
(sin.f64 x)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
(.f64 (.f64 x x) eps)
(*.f64 x x)
x
eps
#s(literal 1/6 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x)
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) eps) eps)
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/6 binary64)
eps
#s(literal 1 binary64)
x
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x))
#s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps))
(fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)
(.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))
eps
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(sin.f64 x)
(neg.f64 eps)

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps)))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps (sin.f64 x)) (neg.f64 eps))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
eps
(*.f64 (sin.f64 x) (neg.f64 eps))
(*.f64 (neg.f64 eps) (sin.f64 x))
(sin.f64 x)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
eps
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
#s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
(.f64 eps (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)))
(.f64 (.f64 x x) eps)
(*.f64 x x)
x
eps
#s(literal 1/6 binary64)
(neg.f64 eps)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1/4 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1/4 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1/4 binary64))) x (.f64 #s(literal -1/2 binary64) eps)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (.f64 eps x) #s(literal 1/4 binary64))) x (.f64 #s(literal -1/2 binary64) eps))
(fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) x) x #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 (*.f64 eps x) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))
(.f64 (-.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x)
(.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) x)
(-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) eps) eps)
(.f64 #s(literal 1/6 binary64) (.f64 eps eps))
(*.f64 #s(literal 1/6 binary64) eps)
#s(literal 1/6 binary64)
eps
#s(literal 1 binary64)
x
#s(literal -1/6 binary64)
(*.f64 #s(literal 1/4 binary64) eps)
#s(literal 1/4 binary64)
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx ( (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) eps) (*.f64 x x) eps)) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(.f64 (fma.f64 #s(literal 1/2 binary64) #s(approx ( (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) eps) (*.f64 x x) eps)) (sin.f64 x)) (neg.f64 eps))
(fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x))
(fma.f64 #s(literal 1/2 binary64) #s(approx (* (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) eps) (*.f64 x x) eps)) (sin.f64 x))
#s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps))
#s(approx (* (cos x) eps) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) eps) (*.f64 x x) eps))
(fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) eps) (*.f64 x x) eps)
(.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)))
(.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64)) eps)
eps
(fma.f64 (*.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(literal 1/24 binary64)
x
#s(literal -1/2 binary64)
(*.f64 x x)
#s(literal 1/2 binary64)
(sin.f64 x)
(neg.f64 eps)

localize336.0ms (2.4%)

Memory

-10.7MiB live, 130.8MiB allocated; 10ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
accuracy	0.32421875	(*.f64 #s(literal 1/24 binary64) x)
accuracy	0.7893557582305636	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
accuracy	2.0567612119183445	#s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps))
accuracy	0.33984375	(*.f64 #s(literal 1/6 binary64) eps)
accuracy	0.3769213011575378	(fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps))
accuracy	0.6840130351446133	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
accuracy	2.2718517595061805	#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
accuracy	0.05078125	(.f64 (.f64 x x) eps)
accuracy	2.293319516490979	#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
accuracy	13.538158313031401	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) eps)
accuracy	0.1328125	(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
accuracy	0.6840130351446133	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
accuracy	59.16834342444465	#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps))
accuracy	0.015625	(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
accuracy	0.0234375	(*.f64 (sin.f64 x) (neg.f64 eps))
accuracy	0.14453125	(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
accuracy	0.7893557582305636	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))

Samples

212.0ms	171×	2	valid
61.0ms	79×	1	valid
2.0ms	1×	3	valid
2.0ms	5×	0	valid

Compiler

Compiled 371 to 59 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 72.0ms (31.9% of total)

adjust: 64.0ms (28.3% of total)

ival-cos: 44.0ms (19.5% of total)

ival-add: 22.0ms (9.7% of total)

const: 13.0ms (5.8% of total)

ival-sub: 5.0ms (2.2% of total)

ival-sin: 4.0ms (1.8% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series28.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated; 0ms collecting garbage

Counts

25 → 109

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x))
#s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 (.f64 x x) eps)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps))
(*.f64 #s(literal 1/6 binary64) eps)
(*.f64 #s(literal 1/24 binary64) x)

Outputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
(* -1 eps)
(- (* 1/6 (* eps (pow x 2))) eps)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)
(- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* eps (pow x 2))
(* 1/4 eps)
(+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps))
(* 1/24 x)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* eps (cos x)))
(* -1/2 (cos x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* -1 (* eps (sin x)))
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))
(* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/4 (/ eps x))))
(* (pow x 2) (- (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/4 (/ eps x))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps)) x)) (* -1/6 (- (* 1/6 (pow eps 2)) 1))))
(* -1 (* x (+ (* -1/4 (/ eps x)) (* 1/6 (- (* 1/6 (pow eps 2)) 1)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(- (* 1/6 (pow x 2)) 1)
(- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)
(- (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2))))))) 1)
(sin x)
(* 1/6 x)
(+ (* 1/6 x) (* 1/4 eps))
(+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))
(* 1/6 eps)
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))
(* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))
(* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* -1/36 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))
(* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))
(* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	0	((+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (- (cos (+ x eps)) (cos x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (* -1/2 eps) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (sin x) (neg eps)) (* (* x x) eps) (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (* 1/6 eps) (* 1/24 x))
4.0ms	eps	@	-inf	((+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (- (cos (+ x eps)) (cos x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (* -1/2 eps) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (sin x) (neg eps)) (* (* x x) eps) (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (* 1/6 eps) (* 1/24 x))
4.0ms	x	@	-inf	((+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (- (cos (+ x eps)) (cos x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (* -1/2 eps) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (sin x) (neg eps)) (* (* x x) eps) (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (* 1/6 eps) (* 1/24 x))
4.0ms	eps	@	inf	((+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (- (cos (+ x eps)) (cos x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (* -1/2 eps) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (sin x) (neg eps)) (* (* x x) eps) (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (* 1/6 eps) (* 1/24 x))
4.0ms	x	@	inf	((+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (- (cos (+ x eps)) (cos x)) (* (* -1/2 (cos x)) eps) (* -1/2 (cos x)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (* -1/2 eps) (+ (* (* (* x x) eps) 1/6) (neg eps)) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (- (cos (+ x eps)) (cos x)) (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (* (cos x) eps) (* (sin x) (neg eps)) (* (* x x) eps) (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (* 1/6 eps) (* 1/24 x))

simplify145.0ms (1.1%)

Memory

12.6MiB live, 56.5MiB allocated; 6ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	1485
1	1282	1461
2	4796	1439
0	8855	1338

Stop Event

1×	iter limit
1×	node limit

Counts

109 → 108

Calls

Call 1

Inputs
(* -1/2 (pow eps 2))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(- (cos eps) 1)
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(* -1/2 eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
(* -1 eps)
(- (* 1/6 (* eps (pow x 2))) eps)
(* -1 (* eps x))
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(- (* 1/6 (pow eps 2)) 1)
(- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)
(- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)
(* 1/2 eps)
(+ x (* 1/2 eps))
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(* eps (pow x 2))
(* 1/4 eps)
(+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps))
(* 1/24 x)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(- (cos (+ eps x)) (cos x))
(* -1/2 (* eps (cos x)))
(* -1/2 (cos x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(* 1/6 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* -1 (* eps (sin x)))
(* 1/6 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))
(* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/4 (/ eps x))))
(* (pow x 2) (- (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))
(* x (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/4 (/ eps x))))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps)) x)) (* -1/6 (- (* 1/6 (pow eps 2)) 1))))
(* -1 (* x (+ (* -1/4 (/ eps x)) (* 1/6 (- (* 1/6 (pow eps 2)) 1)))))
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(* -1 (sin x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(* eps (- (* 1/6 (pow x 2)) 1))
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(- (* 1/6 (pow x 2)) 1)
(- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)
(- (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2))))))) 1)
(sin x)
(* 1/6 x)
(+ (* 1/6 x) (* 1/4 eps))
(+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))
(* 1/6 eps)
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* 1/6 (* (pow eps 3) (sin x)))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* 1/6 (* (pow eps 2) (sin x)))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))
(* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))
(* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))
(* 1/2 (* eps (cos x)))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* -1/36 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))
(* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))
(* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))
(* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))

Outputs
(* -1/2 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
(+ (* -1 (* eps x)) (* -1/2 (pow eps 2)))
(fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* 1/4 (* (pow eps 2) x)))))
(fma.f64 (fma.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* -1 eps) (* x (+ (* 1/6 (* eps x)) (* 1/4 (pow eps 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(- (cos eps) 1)
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(- (+ (cos eps) (* -1 (* x (sin eps)))) 1)
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (* -1/2 (cos eps)))) (sin eps)))) 1)
(fma.f64 (-.f64 (*.f64 (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(- (+ (cos eps) (* x (- (* x (+ 1/2 (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps)))))) (sin eps)))) 1)
(fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (fma.f64 (cos.f64 eps) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) x) (sin.f64 eps)) x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(+ (* -1/2 eps) (* 1/4 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) eps) x) x (*.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* (pow x 2) (+ (* -1/48 (* eps (pow x 2))) (* 1/4 eps))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/4 binary64) eps)) x) x (*.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* (pow x 2) (+ (* 1/4 eps) (* (pow x 2) (+ (* -1/48 eps) (* 1/1440 (* eps (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/1440 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/48 binary64) eps)) x) x (.f64 #s(literal 1/4 binary64) eps)) (.f64 x x) (*.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 (pow x 2)) 1/2)
(-.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))
(+ (* -1/2 (pow eps 2)) (* eps (* x (- (* 1/6 (pow eps 2)) 1))))
(fma.f64 (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* 1/4 (* (pow eps 2) x)) (* eps (- (* 1/6 (pow eps 2)) 1)))))
(fma.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps (.f64 (.f64 (.f64 eps x) eps) #s(literal 1/4 binary64))) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 (pow eps 2)) (* x (+ (* eps (- (* 1/6 (pow eps 2)) 1)) (* x (+ (* -1/6 (* eps (* x (- (* 1/6 (pow eps 2)) 1)))) (* 1/4 (pow eps 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) eps) x) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (.f64 eps eps))) x (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))
(+ (* -1/2 eps) (* x (- (* 1/6 (pow eps 2)) 1)))
(fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))
(+ (* -1/2 eps) (* x (- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))
(* -1 eps)
(neg.f64 eps)
(- (* 1/6 (* eps (pow x 2))) eps)
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) eps)
(* -1 (* eps x))
(*.f64 (neg.f64 x) eps)
(* x (+ (* -1 eps) (* 1/6 (* eps (pow x 2)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (neg.f64 eps))
(* x (+ (* -1 eps) (* (pow x 2) (+ (* -1/120 (* eps (pow x 2))) (* 1/6 eps)))))
(.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) eps) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) eps)) x)
(* x (+ (* -1 eps) (* (pow x 2) (+ (* 1/6 eps) (* (pow x 2) (+ (* -1/120 eps) (* 1/5040 (* eps (pow x 2)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) eps (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/120 binary64) eps)))) x)
(- (* 1/6 (pow eps 2)) 1)
(-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(- (+ (* 1/6 (pow eps 2)) (* 1/4 (* eps x))) 1)
(fma.f64 (.f64 #s(literal 1/4 binary64) eps) x (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(- (+ (* 1/6 (pow eps 2)) (* x (+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps)))) 1)
(fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 eps)
(*.f64 #s(literal 1/2 binary64) eps)
(+ x (* 1/2 eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
(+ (* 1/2 eps) (* x (+ 1 (* -1/4 (* eps x)))))
(fma.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 eps x) #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
(+ (* 1/2 eps) (* x (+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/24 (* eps (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* (pow x 2) (+ (* -1/720 (* eps (pow x 2))) (* 1/24 eps))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)
(* eps (pow x 2))
(.f64 (.f64 x x) eps)
(* 1/4 eps)
(*.f64 #s(literal 1/4 binary64) eps)
(+ (* -1/6 (* x (- (* 1/6 (pow eps 2)) 1))) (* 1/4 eps))
(fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))
(* 1/24 x)
(*.f64 #s(literal 1/24 binary64) x)
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps)
(- (cos (+ eps x)) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1/2 (* eps (cos x)))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(* -1/2 (cos x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(* eps (+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x))) eps)
(+ (* -1/2 (* eps (cos x))) (* (sin x) (- (* 1/6 (pow eps 2)) 1)))
(fma.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(* 1/6 (* eps (pow x 2)))
(.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64))
(* (pow x 2) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) eps (/.f64 eps (.f64 x x)))) (*.f64 x x))
(* -1 (* eps (sin x)))
(*.f64 (neg.f64 eps) (sin.f64 x))
(* 1/6 (* eps (pow x 3)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal 1/6 binary64))
(* (pow x 3) (+ (* -1 (/ eps (pow x 2))) (* 1/6 eps)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (/.f64 eps (.f64 x x))))
(* -1/6 (* (pow x 2) (- (* 1/6 (pow eps 2)) 1)))
(.f64 (.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) x) #s(literal -1/6 binary64))
(* (pow x 2) (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/4 (/ eps x))))
(.f64 (.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x) x)
(* (pow x 2) (- (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (+ (* 1/6 (/ (pow eps 2) (pow x 2))) (* 1/4 (/ eps x)))) (/ 1 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) (/.f64 (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) x))) (.f64 x x))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps)
(+ (sin x) (* 1/2 (* eps (cos x))))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))
(* eps (cos x))
(*.f64 (cos.f64 x) eps)
(* -1/6 (* x (- (* 1/6 (pow eps 2)) 1)))
(.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(* x (+ (* -1/6 (- (* 1/6 (pow eps 2)) 1)) (* 1/4 (/ eps x))))
(.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(- (cos (- eps (* -1 x))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* (pow x 3) (+ (* -1/6 eps) (/ eps (pow x 2)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (/.f64 eps (.f64 x x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow eps 2)) 1) x)) (* -1/4 eps)) x)) (* -1/6 (- (* 1/6 (pow eps 2)) 1))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) eps (/.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 x))) x) x)
(* -1 (* x (+ (* -1/4 (/ eps x)) (* 1/6 (- (* 1/6 (pow eps 2)) 1)))))
(.f64 (fma.f64 (/.f64 eps x) #s(literal 1/4 binary64) (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)
(* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x)))))
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps)
(* eps (- (* -1/2 (* eps (cos x))) (sin x)))
(.f64 (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))) (sin x)))
(.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps)
(* eps (- (* eps (+ (* -1/2 (cos x)) (* eps (- (* 1/24 (* eps (cos x))) (* -1/6 (sin x)))))) (sin x)))
(.f64 (-.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps) (sin.f64 x)) eps)
(* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x))) eps)
(* -1 (sin x))
(neg.f64 (sin.f64 x))
(+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))
(neg.f64 (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)))
(+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))
(fma.f64 (fma.f64 (.f64 (sin.f64 x) eps) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 x))) eps (neg.f64 (sin.f64 x)))
(* eps (- (* 1/6 (pow x 2)) 1))
(.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) eps)
(* eps (* x (- (* 1/6 (pow x 2)) 1)))
(.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps)
(- (* 1/6 (pow x 2)) 1)
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(- (+ (* 1/6 (pow x 2)) (* 1/4 (* eps x))) 1)
(-.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x)) x) #s(literal 1 binary64))
(- (+ (* 1/6 (pow x 2)) (* eps (+ (* 1/4 x) (* eps (+ 1/6 (* -1/36 (pow x 2))))))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64)) eps (.f64 #s(literal 1/4 binary64) x)) eps (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(sin x)
(sin.f64 x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(+ (* 1/6 x) (* 1/4 eps))
(fma.f64 #s(literal 1/4 binary64) eps (*.f64 #s(literal 1/6 binary64) x))
(+ (* 1/6 x) (* eps (+ 1/4 (* -1/36 (* eps x)))))
(fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) eps (.f64 #s(literal 1/6 binary64) x))
(* 1/6 eps)
(*.f64 #s(literal 1/6 binary64) eps)
(* -1/2 (* (pow eps 2) (cos x)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps))) eps) eps)
(* 1/6 (* (pow eps 3) (sin x)))
(.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/6 binary64)) (sin.f64 x))
(* (pow eps 3) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))
(* 1/6 (* (pow eps 2) (sin x)))
(.f64 (.f64 (*.f64 (sin.f64 x) eps) eps) #s(literal 1/6 binary64))
(* (pow eps 2) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x))))
(.f64 (.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (sin.f64 x))) eps) eps)
(* (pow eps 2) (+ (* -1 (/ (sin x) (pow eps 2))) (+ (* -1/2 (/ (cos x) eps)) (* 1/6 (sin x)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps))
(* (pow eps 2) (+ 1/6 (* -1/36 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64)) eps) eps)
(* (pow eps 2) (+ 1/6 (+ (* -1/36 (pow x 2)) (* 1/4 (/ x eps)))))
(.f64 (.f64 (fma.f64 (/.f64 x eps) #s(literal 1/4 binary64) (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 1/6 binary64))) eps) eps)
(* (pow eps 2) (- (+ 1/6 (+ (* -1/36 (pow x 2)) (+ (* 1/6 (/ (pow x 2) (pow eps 2))) (* 1/4 (/ x eps))))) (/ 1 (pow eps 2))))
(.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) x)) eps) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps))
(* 1/2 (* eps (cos x)))
(.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)
(* -1/36 (* (pow eps 2) x))
(.f64 (.f64 #s(literal -1/36 binary64) (*.f64 eps x)) eps)
(* (pow eps 2) (+ (* -1/36 x) (* 1/4 (/ 1 eps))))
(.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 #s(literal 1/4 binary64) eps)) eps) eps)
(* (pow eps 2) (+ (* -1/36 x) (+ (* 1/6 (/ x (pow eps 2))) (* 1/4 (/ 1 eps)))))
(.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) x (/.f64 (fma.f64 (/.f64 x eps) #s(literal 1/6 binary64) #s(literal 1/4 binary64)) eps)) eps) eps)
(- (cos (- x (* -1 eps))) (cos x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(* -1 (* (pow eps 3) (+ (* -1/6 (sin x)) (* 1/2 (/ (cos x) eps)))))
(.f64 (fma.f64 (/.f64 (cos.f64 x) eps) #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 3 binary64)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))) eps)) (* -1/6 (sin x)))))
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (cos x)) (/ (sin x) eps)) eps)) (* 1/6 (sin x))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps))) (.f64 eps eps))
(* -1 (* eps (+ 1 (* -1/6 (pow x 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) eps)
(* -1 (* eps (* x (+ 1 (* -1/6 (pow x 2))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x) (neg.f64 eps))
(* (pow eps 2) (+ 1/6 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/6 (pow x 2)) 1) eps)) (* -1/4 x)) eps)) (* -1/36 (pow x 2)))))
(.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 eps))) eps) #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (*.f64 eps eps))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)
(* (pow eps 2) (+ (* -1 (/ (- (* -1/6 (/ x eps)) 1/4) eps)) (* -1/36 x)))
(.f64 (.f64 (fma.f64 #s(literal -1/36 binary64) x (neg.f64 (/.f64 (fma.f64 (/.f64 x eps) #s(literal -1/6 binary64) #s(literal -1/4 binary64)) eps))) eps) eps)

rewrite145.0ms (1.1%)

Memory

-34.0MiB live, 58.0MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	485
0	99	485
1	382	485
2	2947	485
0	8248	473

Stop Event

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

Counts

25 → 199

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
(.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps)
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
(fma.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x))
(.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)
(fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps)
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps))
(fma.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x))
#s(approx (* (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps))
(*.f64 (sin.f64 x) (neg.f64 eps))
(.f64 (.f64 x x) eps)
(fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps))
(*.f64 #s(literal 1/6 binary64) eps)
(*.f64 #s(literal 1/24 binary64) x)

Outputs
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 2 binary64)))) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)) (*.f64 (sin.f64 x) eps)))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 2 binary64))) (.f64 (.f64 (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 eps)) (sin.f64 x)))))
(/.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64)))))))
(fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (neg.f64 eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) eps (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (cos.f64 x) eps) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (.f64 eps #s(literal -1/2 binary64)) (.f64 (cos.f64 x) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) eps (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (.f64 eps eps) (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (.f64 (.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (cos.f64 x) (.f64 (.f64 eps #s(literal -1/2 binary64)) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 eps (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) (.f64 eps eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) eps) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (cos.f64 x) eps) eps) (*.f64 (neg.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(fma.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) (.f64 eps eps)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (cos.f64 x) eps) eps) #s(literal 2 binary64))) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) eps))) (/.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)) (.f64 (sin.f64 x) eps))))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 (neg.f64 eps)) (sin.f64 x)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps)))
(-.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))) (.f64 (sin.f64 x) eps))
(-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) eps) eps))
(-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (neg.f64 eps) (.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))))
(-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 x)) (.f64 eps eps)))
(+.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))))))) (/.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (-.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) (*.f64 eps #s(literal -1/2 binary64))))))))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 eps)))
(+.f64 (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))) (.f64 (neg.f64 eps) (sin.f64 x)))
(+.f64 (.f64 (neg.f64 eps) (sin.f64 x)) (.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (cos.f64 x) eps) (.f64 eps #s(literal -1/2 binary64)) (*.f64 (neg.f64 eps) (sin.f64 x))))
(.f64 (.f64 (cos.f64 x) eps) #s(literal -1/2 binary64))
(.f64 (.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(.f64 (cos.f64 x) (.f64 eps #s(literal -1/2 binary64)))
(.f64 eps (.f64 (cos.f64 x) #s(literal -1/2 binary64)))
(.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)
(.f64 #s(literal -1/2 binary64) (.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 eps #s(literal -1/2 binary64))) eps))
(.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 eps #s(literal -1/2 binary64))) eps)
(.f64 eps #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 eps #s(literal -1/2 binary64))))
#s(approx (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps #s(literal -1/2 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 eps eps)))) (neg.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))) x (.f64 #s(literal -1/4 binary64) eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 #s(literal 1/16 binary64) (.f64 eps eps))) (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))) x (.f64 #s(literal -1/4 binary64) eps)))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 eps eps) (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) x)) #s(literal 1/4 binary64)) eps))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x))))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))) x (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal 1/4 binary64) eps))
(fma.f64 eps #s(literal 1/4 binary64) (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)))
(fma.f64 x (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) #s(literal -1/6 binary64)) (.f64 #s(literal 1/4 binary64) eps))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))) x (.f64 #s(literal -1/4 binary64) eps))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps eps)) (fma.f64 (.f64 #s(literal -1/6 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))) x (.f64 #s(literal -1/4 binary64) eps))))
(-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) (*.f64 (neg.f64 eps) #s(literal 1/4 binary64)))
(-.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) (*.f64 #s(literal -1/4 binary64) eps))
(-.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 #s(literal 1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) x)))
(-.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) x)) #s(literal -1/6 binary64)))
(-.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) eps) (-.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) x)))))))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 eps eps)) #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/4 binary64) eps))
(+.f64 (.f64 #s(literal 1/4 binary64) eps) (.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) x)))
(*.f64 #s(literal 1/6 binary64) eps)
(*.f64 eps #s(literal 1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
(*.f64 x #s(literal 1/24 binary64))

eval37.0ms (0.3%)

Memory: 31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 13 369 to 1 532 computations (88.5% saved)

prune65.0ms (0.5%)

Memory

-16.7MiB live, 38.7MiB allocated; 3ms collecting garbage

Pruning

42 alts after pruning (32 fresh and 10 done)

	Pruned	Kept	Total
New	286	16	302
Fresh	7	16	23
Picked	2	3	5
Done	0	7	7
Total	295	42	337

Accuracy

100.0%

Counts

337 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))
	51.8%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
	51.6%	(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
✓	51.5%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	49.6%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
	79.7%	(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
	52.1%	(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
✓	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
	97.3%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
	97.4%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
	97.7%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
	3.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 #s(approx (+ (neg eps) (/ (PI) 2)) (neg.f64 eps))) #s(literal 1 binary64)))
✓	49.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
	48.9%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
✓	98.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)))) eps))
	97.6%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) eps))
	97.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
	97.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	97.4%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	78.8%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
	95.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
	95.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (-.f64 x (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 eps)))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	96.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
	48.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 eps))) eps) #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 eps eps))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
	48.1%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) x)) eps) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
✓	50.0%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
	95.3%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
	96.4%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
	95.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
	96.2%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))))
	81.5%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))))
	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 eps x) x) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
✓	76.9%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
	48.6%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64))) x)))
	77.3%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) #s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))

Compiler

Compiled 3 457 to 1 358 computations (60.7% saved)

regimes44.0ms (0.3%)

Memory

14.2MiB live, 52.6MiB allocated; 4ms collecting garbage

Counts

61 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) #s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 eps x) x) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (-.f64 x (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 eps))) eps) #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 eps eps))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) x)) eps) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 #s(approx (+ (neg eps) (/ (PI) 2)) (neg.f64 eps))) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
(-.f64 #s(approx (cos (+ x eps)) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64)) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 x) #s(literal -1/2 binary64)) eps)) eps))
(.f64 (.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) #s(literal 2 binary64)))) #s(literal -2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) (/.f64 (sin.f64 x) eps)) eps)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(fma.f64 (cos.f64 x) (cos.f64 eps) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps)) (cos.f64 x)))

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

Calls

3 calls:

17.0ms	x
14.0ms	eps
11.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes43.0ms (0.3%)

Memory

-1.0MiB live, 38.7MiB allocated; 8ms collecting garbage

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) #s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 eps x) x) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (-.f64 x (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 eps))) eps) #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 eps eps))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) x)) eps) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 #s(approx (+ (neg eps) (/ (PI) 2)) (neg.f64 eps))) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
(-.f64 #s(approx (cos (+ x eps)) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(-.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)) (cos.f64 x))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 x)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))

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

Calls

3 calls:

20.0ms	x
12.0ms	eps
9.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
98.6%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes40.0ms (0.3%)

Memory

-7.9MiB live, 36.8MiB allocated; 7ms collecting garbage

Counts

50 → 1

Calls

Call 1

Inputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (*.f64 #s(literal -1/2 binary64) eps)) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 #s(approx (cos eps) (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) eps #s(literal 1 binary64))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (neg.f64 x) eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 #s(approx (+ ( (* (* x x) eps) 1/6) (neg eps)) (.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) eps) eps) x))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64))) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) #s(approx (* (+ (* (* (* x x) eps) 1/6) (neg eps)) x) (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) eps))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 eps x) x) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 (.f64 (*.f64 x x) eps) #s(literal 1/6 binary64) (neg.f64 eps)) x)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) #s(approx (+ (* (- (* (* eps eps) 1/6) 1) x) (* -1/2 eps)) (fma.f64 (-.f64 (.f64 (.f64 eps x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) eps (neg.f64 x)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (-.f64 x (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (fma.f64 (.f64 (.f64 (.f64 x x) eps) #s(literal 1/6 binary64)) x (.f64 (neg.f64 eps) x))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 eps eps)) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (fma.f64 (fma.f64 (.f64 eps (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (sin x) (neg eps)) (* (* (* (cos x) eps) 1/2) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* (* -1/2 (cos x)) eps) eps) (* (sin x) (neg eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 eps eps) (.f64 (.f64 eps x) #s(literal 1/6 binary64))) x (neg.f64 eps)) x (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 #s(literal 1/4 binary64) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 #s(approx (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) (fma.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 eps x) #s(literal 1/4 binary64)) eps (.f64 #s(literal 1/6 binary64) x))) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 (fma.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64)) x) #s(literal -1/6 binary64) (.f64 #s(literal 1/4 binary64) eps)) x (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) eps) #s(literal 1 binary64))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) eps) (fma.f64 (.f64 x x) (.f64 eps (fma.f64 #s(literal -1/6 binary64) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x) (.f64 #s(literal 1/4 binary64) eps))) (.f64 eps (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) #s(literal 1 binary64)) x (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (neg.f64 eps))) eps) #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (.f64 eps eps))) x (.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (sin x) (+ (* (* eps eps) 1/6) -1)) (* (* (cos x) -1/2) eps)) (fma.f64 #s(approx (+ (* (+ (* (* (- (* (* 1/6 eps) eps) 1) x) -1/6) (* 1/4 eps)) x) (- (* (* 1/6 eps) eps) 1)) (.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (.f64 x x) eps) #s(literal 1/6 binary64) (.f64 #s(literal 1/4 binary64) x)) eps) (fma.f64 #s(literal -1/36 binary64) (.f64 x x) #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 eps eps))) (.f64 eps eps))) x (*.f64 #s(literal -1/2 binary64) eps))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 #s(approx (+ (neg eps) (/ (PI) 2)) (neg.f64 eps))) #s(literal 1 binary64)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) #s(literal -1/2 binary64)) eps) eps (*.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (sin.f64 (+.f64 (neg.f64 eps) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1 binary64)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (.f64 (fma.f64 (.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 (.f64 x x) eps) #s(literal -1/2 binary64) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (.f64 eps (fma.f64 #s(literal 1/4 binary64) (.f64 x x) #s(literal -1/2 binary64))))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 #s(literal 1/24 binary64) x) x #s(literal -1/2 binary64))) (*.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/48 binary64) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (sin.f64 x) (fma.f64 (.f64 eps eps) #s(literal 1/6 binary64) #s(literal -1 binary64)) #s(approx (* (* (cos x) -1/2) eps) (fma.f64 (.f64 eps (fma.f64 (.f64 x x) #s(literal -1/48 binary64) #s(literal 1/4 binary64))) (.f64 x x) (.f64 #s(literal -1/2 binary64) eps)))) eps))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(approx ( -1/2 (cos x)) (-.f64 (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/1440 binary64) (.f64 x x)) #s(literal 1/48 binary64)) (.f64 x x) #s(literal 1/4 binary64)) x) x) #s(literal 1/2 binary64))) eps) eps (.f64 (sin.f64 x) (neg.f64 eps))))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 #s(approx ( (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (.f64 #s(approx (* (cos x) eps) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 (.f64 x x) eps) (.f64 #s(literal 1/24 binary64) eps)) x) x (.f64 #s(literal -1/2 binary64) eps)) (.f64 x x) eps)) #s(literal 1/2 binary64)) (neg.f64 eps))))
(-.f64 #s(approx (cos (+ x eps)) (cos.f64 eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (sin.f64 (+.f64 #s(approx (+ (/ (PI) 2) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps)) (cos.f64 x))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.2%)

Memory

26.6MiB live, 26.6MiB allocated; 0ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

8.0ms	eps
8.0ms	x
6.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.4%	1	`x`
96.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

5.0ms	x
5.0ms	eps
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
96.2%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.2%	1	`x`
96.2%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes56.0ms (0.4%)

Memory

-68.0MiB live, 16.4MiB allocated; 86ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`x`
96.1%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
96.1%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
4.0ms	eps
3.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
95.5%	1	`x`
95.5%	1	`eps`
95.5%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
95.3%	1	`eps`
95.3%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Accuracy

Total -17.3b remaining (-117.2%)

Threshold costs -17.3b (-117.2%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
76.9%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
76.9%	1	`eps`
76.9%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify64.0ms (0.5%)

Memory

-6.0MiB live, 42.9MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	278
1	196	278
2	465	278
3	1192	273
4	2484	273
5	3866	273
6	5056	273

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations968.0ms (7%)

Memory

-25.9MiB live, 254.9MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	1485
1	1282	1461
2	4796	1439
0	8855	1338
0	305	1205
1	1070	1188
2	3838	1144
0	8220	1062
0	382	1693
1	1345	1667
2	4922	1645
0	8755	1493
0	105	296
1	308	293
2	779	293
3	2454	292
4	6244	292
0	8035	272
0	39	192
0	66	192
1	248	192
2	2017	192
0	8588	192
0	52	274
0	79	258
1	319	246
2	2671	246
0	8645	238

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter 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 278 to 97 computations (65.1% saved)

preprocess52.0ms (0.4%)

Memory: 36.8MiB live, 36.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 604 to 236 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze51.0ms (0.4%)

sample8.8s (63.6%)

explain261.0ms (1.9%)

preprocess14.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize145.0ms (1.1%)

series4.0ms (0%)

simplify159.0ms (1.2%)

rewrite142.0ms (1%)

eval32.0ms (0.2%)

prune30.0ms (0.2%)

simplify104.0ms (0.8%)

localize323.0ms (2.3%)

series26.0ms (0.2%)

simplify153.0ms (1.1%)

rewrite162.0ms (1.2%)

eval41.0ms (0.3%)

prune38.0ms (0.3%)

simplify130.0ms (0.9%)

localize587.0ms (4.3%)

series20.0ms (0.1%)

simplify146.0ms (1.1%)

rewrite150.0ms (1.1%)

eval92.0ms (0.7%)

prune30.0ms (0.2%)

simplify91.0ms (0.7%)

localize336.0ms (2.4%)

series28.0ms (0.2%)

simplify145.0ms (1.1%)

rewrite145.0ms (1.1%)

eval37.0ms (0.3%)

prune65.0ms (0.5%)

regimes44.0ms (0.3%)

regimes43.0ms (0.3%)

regimes40.0ms (0.3%)

regimes24.0ms (0.2%)

regimes14.0ms (0.1%)

regimes56.0ms (0.4%)

regimes12.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify64.0ms (0.5%)

derivations968.0ms (7%)

preprocess52.0ms (0.4%)

end0.0ms (0%)

Profiling