Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze87.0ms (0.7%)

Memory

-10.5MiB live, 183.7MiB allocated; 22ms 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)

sample9.0s (75.3%)

Memory

60.6MiB live, 7 978.8MiB allocated; 2.7s collecting garbage

Samples

3.6s	26 634×	0	invalid
2.9s	5 715×	2	valid
700.0ms	2 480×	1	valid
8.0ms	61×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 5.3s

ival-cos: 2.3s (44.3% of total)

const: 625.0ms (11.8% of total)

adjust: 510.0ms (9.6% of total)

ival-add: 353.0ms (6.7% of total)

ival-fabs: 304.0ms (5.8% of total)

ival-sub: 289.0ms (5.5% of total)

ival-<=: 278.0ms (5.3% of total)

ival-mult: 247.0ms (4.7% of total)

ival-<: 162.0ms (3.1% of total)

ival-and: 113.0ms (2.1% of total)

exact: 49.0ms (0.9% of total)

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

Bogosity

explain199.0ms (1.7%)

Memory

-4.6MiB live, 192.9MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
143	-	-	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
1	-	-	`(cos.f64 (+.f64 x eps))`
0	-	-	`eps`
0	-	-	`(+.f64 x eps)`
0	-	-	`(cos.f64 x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	143	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	144	0
-	0	112

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	144	0	0
-	0	0	112

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	112
1	144

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

132.0ms	362×	2	valid
21.0ms	148×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-cos: 91.0ms (71.4% of total)

adjust: 25.0ms (19.6% of total)

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

ival-add: 4.0ms (3.1% of total)

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

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

preprocess13.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB 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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify0.0ms (0%)

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

series7.0ms (0.1%)

Memory

-44.0MiB live, 6.0MiB allocated; 4ms collecting garbage

Counts

6 → 33

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
(- (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)
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 (+ 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
4.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))
1.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) x eps (cos x))

simplify116.0ms (1%)

Memory

17.8MiB live, 111.0MiB allocated; 4ms 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)
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 (+ 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)
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 (+ 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)

rewrite136.0ms (1.1%)

Memory

-13.5MiB live, 128.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	62	18
2	615	18
0	8130	18

Stop Event

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

Counts

6 → 140

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 (/.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)))))
(.f64 #s(literal 2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (+.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 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 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) (neg.f64 x)) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (neg.f64 (+.f64 eps x))) x) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 eps x))) x) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (neg.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
(.f64 #s(literal -2 binary64) (.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64))) (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (neg.f64 (neg.f64 x))) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (.f64 (.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64))) (.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 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)
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)))

eval20.0ms (0.2%)

Memory: 40.3MiB live, 40.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 801 to 715 computations (85.1% saved)

prune8.0ms (0.1%)

Memory

-25.5MiB live, 16.7MiB allocated; 3ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	158	6	164
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Accuracy

99.7%

Counts

165 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	49.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
▶	48.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	49.0%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x #s(literal 1 binary64))))
▶	48.6%	#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
▶	99.4%	#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)))
▶	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))

Compiler

Compiled 171 to 132 computations (22.8% saved)

simplify0.0ms (0%)

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

series36.0ms (0.3%)

Memory

2.2MiB live, 37.1MiB allocated; 19ms collecting garbage

Counts

24 → 86

Calls

Call 1

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

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 (* 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
(+ 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
(+ 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)))
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))))
(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 x)
(* -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 (sin eps)))
(- (cos (+ eps x)) (cos x))
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* eps (cos x))
(cos x)
(sin x)
(cos (+ eps x))
(* x (+ 1 (/ eps x)))
(* -1 (* eps (sin x)))
(* -1 (* x (sin eps)))
(* x (- (/ (cos eps) x) (+ (sin eps) (/ 1 x))))
(* x (sin eps))
(* x (+ (sin eps) (/ 1 x)))
(- (cos (- eps (* -1 x))) (cos x))
(cos (- eps (* -1 x)))
(* -1 (* x (- (* -1 (/ eps x)) 1)))
(* -1 (* x (- (* -1 (/ (- (cos eps) 1) x)) (* -1 (sin eps)))))
(* -1 (* x (- (* -1 (sin eps)) (/ 1 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)) (* -1/2 (* eps (cos x)))))
(* -1 eps)
(* (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)))
(+ (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 (- (* -1/2 eps) x))
(* eps (- (* eps (- (* 1/6 (* eps x)) 1/2)) x))
(* eps (- (* eps (- (* eps (- (* 1/24 eps) (* -1/6 x))) 1/2)) x))
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* -1/6 (* (pow eps 2) x)))))
(+ 1 (* eps (+ x (* (pow eps 2) (+ (* -1/6 x) (* 1/120 (* (pow eps 2) x)))))))
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/2 (* (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)))
(* eps (+ 1 (/ x eps)))
(- (cos eps) (+ 1 (* x (sin eps))))
(sin eps)
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(cos (- x (* -1 eps)))
(* -1 (* eps (- (* -1 (/ x eps)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	eps	@	-inf	((- (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) x eps 1/2 (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) (+ (* (sin eps) x) 1)) (+ (* (sin eps) x) 1) (sin eps))
3.0ms	x	@	-inf	((- (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) x eps 1/2 (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) (+ (* (sin eps) x) 1)) (+ (* (sin eps) x) 1) (sin eps))
3.0ms	eps	@	0	((- (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) x eps 1/2 (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) (+ (* (sin eps) x) 1)) (+ (* (sin eps) x) 1) (sin eps))
3.0ms	eps	@	inf	((- (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) x eps 1/2 (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) (+ (* (sin eps) x) 1)) (+ (* (sin eps) x) 1) (sin eps))
3.0ms	x	@	inf	((- (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) x eps 1/2 (sin x) (neg eps) (- (cos (+ x eps)) (cos x)) (- (cos eps) 1) (cos eps) 1 (- (cos (+ x eps)) (cos x)) (cos (+ x eps)) (+ x eps) (cos x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (- (cos (+ x eps)) (cos x)) (- (cos eps) (+ (* (sin eps) x) 1)) (+ (* (sin eps) x) 1) (sin eps))

simplify218.0ms (1.8%)

Memory

-34.6MiB live, 145.9MiB allocated; 103ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	281	942
1	938	925
2	2980	893
3	6118	893
0	8108	826

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 84

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

rewrite125.0ms (1%)

Memory

10.7MiB live, 55.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	139
0	46	139
1	170	139
2	1431	139
0	8208	139

Stop Event

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

Counts

24 → 223

Calls

Call 1

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

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

eval35.0ms (0.3%)

Memory: 32.4MiB live, 32.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 8 609 to 1 306 computations (84.8% saved)

prune46.0ms (0.4%)

Memory

-29.0MiB live, 19.1MiB allocated; 22ms collecting garbage

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	326	9	335
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	328	14	342

Accuracy

100.0%

Counts

342 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	49.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	48.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
▶	99.5%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
✓	99.4%	#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)))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
▶	99.0%	#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 -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
▶	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin 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))) (neg.f64 eps)))
▶	98.5%	#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)))
	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (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)))))
	50.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	77.8%	#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)))
▶	77.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 554 to 386 computations (30.3% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series23.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

36 → 98

Calls

Call 1

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

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 (* 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)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
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
(+ 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)))
x
(* -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)))))))))
(* 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 x)
(+ 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))))))
(+ 1 (* -1/4 (* eps x)))
(* eps x)
(+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))
(* -1/4 eps)
(+ (* -1/4 eps) (* -1/6 x))
(- (cos (+ eps x)) (cos x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* 1/2 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* -1 (* eps (sin x)))
(sin x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* x (+ 1 (* 1/2 (/ eps x))))
(* -1/4 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/4 eps) (/ 1 x)))
(* (pow x 2) (+ (* -1/4 eps) (+ (* 1/2 (/ eps (pow x 2))) (/ 1 x))))
(* -1/4 (* eps x))
(* x (+ (* -1/4 eps) (/ 1 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 2) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* -1/6 x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)))
(* -1 (* x (- (* 1/4 eps) (/ 1 x))))
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps 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)) (* -1/2 (* eps (cos x)))))
(* -1 eps)
(+ x (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (+ (* -1/4 (* eps x)) (* -1/6 (pow x 2))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))))
(* eps (+ (* -1/4 x) (/ 1 eps)))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(* eps (+ (* -1/4 x) (+ (* -1/6 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (- (* -1/6 (/ x eps)) 1/4))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(* -1 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (- (* 1/4 x) (/ 1 eps))))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x))))
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) 1/2 (* (cos x) eps) (cos x) x eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* -1/4 (* eps x)) 1) x) (* 1/2 eps)) (+ (* -1/4 (* eps x)) 1) -1/4 (* eps x) 1 (* 1/2 eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) x) (* 1/2 eps)) (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) (+ (* -1/6 x) (* -1/4 eps)) -1/6 (* -1/4 eps))
4.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) 1/2 (* (cos x) eps) (cos x) x eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* -1/4 (* eps x)) 1) x) (* 1/2 eps)) (+ (* -1/4 (* eps x)) 1) -1/4 (* eps x) 1 (* 1/2 eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) x) (* 1/2 eps)) (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) (+ (* -1/6 x) (* -1/4 eps)) -1/6 (* -1/4 eps))
4.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) 1/2 (* (cos x) eps) (cos x) x eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* -1/4 (* eps x)) 1) x) (* 1/2 eps)) (+ (* -1/4 (* eps x)) 1) -1/4 (* eps x) 1 (* 1/2 eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) x) (* 1/2 eps)) (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) (+ (* -1/6 x) (* -1/4 eps)) -1/6 (* -1/4 eps))
3.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) 1/2 (* (cos x) eps) (cos x) x eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* -1/4 (* eps x)) 1) x) (* 1/2 eps)) (+ (* -1/4 (* eps x)) 1) -1/4 (* eps x) 1 (* 1/2 eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) x) (* 1/2 eps)) (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) (+ (* -1/6 x) (* -1/4 eps)) -1/6 (* -1/4 eps))
3.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) 1/2 (* (cos x) eps) (cos x) x eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (* (neg eps) (sin x)) (* (neg x) eps) (neg x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* -1/4 (* eps x)) 1) x) (* 1/2 eps)) (+ (* -1/4 (* eps x)) 1) -1/4 (* eps x) 1 (* 1/2 eps) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) x) (* 1/2 eps)) (+ (* (+ (* -1/6 x) (* -1/4 eps)) x) 1) (+ (* -1/6 x) (* -1/4 eps)) -1/6 (* -1/4 eps))

simplify131.0ms (1.1%)

Memory

6.0MiB live, 54.1MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	1139
1	1099	1094
2	3869	1061
0	8111	975

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 96

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 (* 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)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
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
(+ 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)))
x
(* -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)))))))))
(* 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 x)
(+ 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))))))
(+ 1 (* -1/4 (* eps x)))
(* eps x)
(+ 1 (* x (+ (* -1/4 eps) (* -1/6 x))))
(* -1/4 eps)
(+ (* -1/4 eps) (* -1/6 x))
(- (cos (+ eps x)) (cos x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* 1/2 (* eps (cos x)))
(* eps (cos x))
(cos x)
(* -1 (* eps (sin x)))
(sin x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* x (+ 1 (* 1/2 (/ eps x))))
(* -1/4 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/4 eps) (/ 1 x)))
(* (pow x 2) (+ (* -1/4 eps) (+ (* 1/2 (/ eps (pow x 2))) (/ 1 x))))
(* -1/4 (* eps x))
(* x (+ (* -1/4 eps) (/ 1 x)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* (pow x 3) (- (+ (* -1/4 (/ eps x)) (+ (* 1/2 (/ eps (pow x 3))) (/ 1 (pow x 2)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* -1/4 (/ eps x)) 1/6))
(* (pow x 2) (- (+ (* -1/4 (/ eps x)) (/ 1 (pow x 2))) 1/6))
(* -1/6 x)
(* x (- (* -1/4 (/ eps x)) 1/6))
(- (cos (- eps (* -1 x))) (cos x))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)))
(* -1 (* x (- (* 1/4 eps) (/ 1 x))))
(* -1 (* (pow x 3) (+ 1/6 (* 1/4 (/ eps x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1/4 eps) (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)) x)))))
(* (pow x 2) (- (* -1 (/ (- (* 1/4 eps) (/ 1 x)) x)) 1/6))
(* -1 (* x (+ 1/6 (* 1/4 (/ eps 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)) (* -1/2 (* eps (cos x)))))
(* -1 eps)
(+ x (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(+ (* eps (+ 1/2 (* -1/4 (pow x 2)))) (* x (+ 1 (* -1/6 (pow x 2)))))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (+ (* -1/4 (* eps x)) (* -1/6 (pow x 2))))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))))
(* eps (+ (* -1/4 x) (/ 1 eps)))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps))))
(* eps (+ (* -1/4 x) (+ (* -1/6 (/ (pow x 2) eps)) (/ 1 eps))))
(* eps (- (* -1/6 (/ x eps)) 1/4))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* -1 (* eps (- (* 1/4 (pow x 2)) 1/2)))
(* -1 (* eps (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (- (* 1/4 x) (/ 1 eps))))
(* -1 (* eps (- (+ (* -1 (/ (* x (+ 1 (* -1/6 (pow x 2)))) eps)) (* 1/4 (pow x 2))) 1/2)))
(* -1 (* eps (+ (* -1 (/ (+ 1 (* -1/6 (pow x 2))) eps)) (* 1/4 x))))
(* -1 (* eps (+ 1/4 (* 1/6 (/ x eps)))))

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

rewrite159.0ms (1.3%)

Memory

-19.8MiB live, 68.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	375
0	74	375
1	273	371
2	2019	371
0	9933	360

Stop Event

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

Counts

36 → 230

Calls

Call 1

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

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

eval40.0ms (0.3%)

Memory: 36.3MiB live, 36.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 13 967 to 1 725 computations (87.6% saved)

prune43.0ms (0.4%)

Memory

-33.0MiB live, 22.9MiB allocated; 5ms collecting garbage

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	352	8	360
Fresh	2	3	5
Picked	2	3	5
Done	0	4	4
Total	356	18	374

Accuracy

100.0%

Counts

374 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	49.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	48.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	99.0%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 x) eps)) (neg.f64 eps) #s(approx (* (neg eps) (sin x)) (.f64 (fma.f64 eps (fma.f64 (.f64 #s(literal 1/6 binary64) x) x #s(literal -1 binary64)) (.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))))) x))))
▶	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)) (neg.f64 eps) (*.f64 (neg.f64 eps) (sin.f64 x))))
✓	99.4%	#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)))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
✓	99.0%	#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 -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
▶	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps x)) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) (* -1/4 eps)) (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
✓	98.5%	#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)))
▶	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* 1/2 eps) x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (neg.f64 eps)))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* 1/2 eps) x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
▶	98.7%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin 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)))))
▶	50.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	77.8%	#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)))
✓	77.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 810 to 550 computations (32.1% saved)

simplify0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series28.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

37 → 83

Calls

Call 1

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

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 (* 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)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(pow x 2)
x
(* -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)))))))))
(* 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))))
(+ 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))))))
(* 1/2 (/ eps x))
(/ (+ x (* 1/2 eps)) x)
(/ eps x)
(* -1 eps)
(- (* 1/4 (* (pow eps 2) x)) eps)
(* (pow eps 2) x)
(* eps x)
(- (cos (+ eps x)) (cos x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* 1/2 (* eps (cos x)))
(* -1/4 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/4 eps) (* 1/2 (/ eps (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/4))
(* -1 (* eps (sin x)))
(sin x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* (pow x 2) (+ (* -1/4 eps) (/ 1 x)))
(* (pow x 2) (+ (* -1/4 eps) (+ (* 1/2 (/ eps (pow x 2))) (/ 1 x))))
(* x (+ 1 (* 1/2 (/ eps x))))
1
(+ 1 (* 1/2 (/ eps x)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))))
(* (pow x 2) (- (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2))) (/ eps x)))
(* 1/4 (* (pow eps 2) x))
(* x (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))))
(- (cos (- eps (* -1 x))) (cos x))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* (pow x 2) (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))))
(* -1 (* x (+ (* -1/4 (pow eps 2)) (/ eps 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)) (* -1/2 (* eps (cos x)))))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
eps
(pow eps 2)
(+ x (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(* eps (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2))))
(* eps (- (* 1/4 (* eps x)) 1))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ (/ 1 eps) (* 1/2 (/ 1 x))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))
(* (pow eps 2) (- (* 1/4 x) (/ 1 eps)))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (* -1 (/ x eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* eps (+ (* 1/2 (/ 1 x)) (/ 1 eps)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	0	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) (* (+ (* (* x x) -1/4) 1/2) eps) (+ (* (* x x) -1/4) 1/2) (* x x) x -1/4 1/2 eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (* x x) -1/4) 1/2) eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (* (+ (* (/ eps x) 1/2) 1) x) (+ (* (/ eps x) 1/2) 1) (/ eps x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (+ (* (+ (* (* (* eps x) eps) 1/4) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps x) eps) 1/4) (neg eps)) (* (* eps x) eps) (* eps x) 1/4)
5.0ms	eps	@	-inf	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) (* (+ (* (* x x) -1/4) 1/2) eps) (+ (* (* x x) -1/4) 1/2) (* x x) x -1/4 1/2 eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (* x x) -1/4) 1/2) eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (* (+ (* (/ eps x) 1/2) 1) x) (+ (* (/ eps x) 1/2) 1) (/ eps x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (+ (* (+ (* (* (* eps x) eps) 1/4) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps x) eps) 1/4) (neg eps)) (* (* eps x) eps) (* eps x) 1/4)
4.0ms	eps	@	inf	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) (* (+ (* (* x x) -1/4) 1/2) eps) (+ (* (* x x) -1/4) 1/2) (* x x) x -1/4 1/2 eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (* x x) -1/4) 1/2) eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (* (+ (* (/ eps x) 1/2) 1) x) (+ (* (/ eps x) 1/2) 1) (/ eps x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (+ (* (+ (* (* (* eps x) eps) 1/4) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps x) eps) 1/4) (neg eps)) (* (* eps x) eps) (* eps x) 1/4)
4.0ms	x	@	-inf	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) (* (+ (* (* x x) -1/4) 1/2) eps) (+ (* (* x x) -1/4) 1/2) (* x x) x -1/4 1/2 eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (* x x) -1/4) 1/2) eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (* (+ (* (/ eps x) 1/2) 1) x) (+ (* (/ eps x) 1/2) 1) (/ eps x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (+ (* (+ (* (* (* eps x) eps) 1/4) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps x) eps) 1/4) (neg eps)) (* (* eps x) eps) (* eps x) 1/4)
4.0ms	x	@	inf	((- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* 1/2 (* (cos x) eps)) (* (+ (* (* x x) -1/4) 1/2) eps) (+ (* (* x x) -1/4) 1/2) (* x x) x -1/4 1/2 eps (neg eps) (* (neg eps) (sin x)) (sin x) (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (* (* eps eps) -1/2) (* eps eps) -1/2 (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* (+ (* (* x x) -1/4) 1/2) eps) x) (- (cos (+ x eps)) (cos x)) (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (+ (* (* (cos x) eps) 1/2) (sin x)) (+ (* 1/2 eps) x) (* (+ (* (/ eps x) 1/2) 1) x) (+ (* (/ eps x) 1/2) 1) (/ eps x) 1 (- (cos (+ x eps)) (cos x)) (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (+ (* (+ (* (* (* eps x) eps) 1/4) (neg eps)) x) (* (* eps eps) -1/2)) (+ (* (* (* eps x) eps) 1/4) (neg eps)) (* (* eps x) eps) (* eps x) 1/4)

simplify145.0ms (1.2%)

Memory

-37.9MiB live, 56.4MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	870
1	898	833
2	2993	794
3	6770	794
0	8355	734

Stop Event

1×	iter limit
1×	node limit

Counts

83 → 81

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 (* 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)
(+ (* -1/4 (* eps (pow x 2))) (* 1/2 eps))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* 1/48 (* eps (pow x 2))))))
(+ (* 1/2 eps) (* (pow x 2) (+ (* -1/4 eps) (* (pow x 2) (+ (* -1/1440 (* eps (pow x 2))) (* 1/48 eps))))))
1/2
(+ 1/2 (* -1/4 (pow x 2)))
(pow x 2)
x
(* -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)))))))))
(* 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))))
(+ 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))))))
(* 1/2 (/ eps x))
(/ (+ x (* 1/2 eps)) x)
(/ eps x)
(* -1 eps)
(- (* 1/4 (* (pow eps 2) x)) eps)
(* (pow eps 2) x)
(* eps x)
(- (cos (+ eps x)) (cos x))
(+ (* -1 (* eps (sin x))) (* -1/2 (* (pow eps 2) (cos x))))
(* 1/2 (* eps (cos x)))
(* -1/4 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/4 eps) (* 1/2 (/ eps (pow x 2)))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 (pow x 2))) 1/4))
(* -1 (* eps (sin x)))
(sin x)
(* -1 (* eps (+ (sin x) (* 1/2 (* eps (cos x))))))
(+ (sin x) (* 1/2 (* eps (cos x))))
(* (pow x 2) (+ (* -1/4 eps) (/ 1 x)))
(* (pow x 2) (+ (* -1/4 eps) (+ (* 1/2 (/ eps (pow x 2))) (/ 1 x))))
(* x (+ 1 (* 1/2 (/ eps x))))
1
(+ 1 (* 1/2 (/ eps x)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))))
(* (pow x 2) (- (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 2))) (/ eps x)))
(* 1/4 (* (pow eps 2) x))
(* x (+ (* -1 (/ eps x)) (* 1/4 (pow eps 2))))
(- (cos (- eps (* -1 x))) (cos x))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (/ eps x)) 1) x)) (* -1/4 eps)))
(* -1 (* x (- (* -1/2 (/ eps x)) 1)))
(* (pow x 2) (+ (* -1 (/ (+ eps (* 1/2 (/ (pow eps 2) x))) x)) (* 1/4 (pow eps 2))))
(* -1 (* x (+ (* -1/4 (pow eps 2)) (/ eps 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)) (* -1/2 (* eps (cos x)))))
(* eps (+ 1/2 (* -1/4 (pow x 2))))
eps
(pow eps 2)
(+ x (* eps (+ 1/2 (* -1/4 (pow x 2)))))
(* eps (+ (* -1 x) (* eps (- (* 1/4 (pow x 2)) 1/2))))
(* eps (- (* 1/4 (* eps x)) 1))
(* -1/2 (* (pow eps 2) (cos x)))
(* (pow eps 2) (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x))))
(* eps (+ (* 1/2 (cos x)) (/ (sin x) eps)))
(* eps (+ 1/2 (+ (* -1/4 (pow x 2)) (/ x eps))))
(* eps (+ 1/2 (/ x eps)))
(* eps (+ (/ 1 eps) (* 1/2 (/ 1 x))))
(* (pow eps 2) (- (* 1/4 (pow x 2)) 1/2))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (* 1/4 (pow x 2))) 1/2))
(* (pow eps 2) (- (* 1/4 x) (/ 1 eps)))
(- (cos (- x (* -1 eps))) (cos x))
(* -1 (* eps (+ (* -1 (/ (sin x) eps)) (* -1/2 (cos x)))))
(* -1 (* eps (+ (* -1 (+ 1/2 (* -1/4 (pow x 2)))) (* -1 (/ x eps)))))
(* -1 (* eps (- (* -1 (/ x eps)) 1/2)))
(* eps (+ (* 1/2 (/ 1 x)) (/ 1 eps)))

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

rewrite141.0ms (1.2%)

Memory

15.2MiB live, 60.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	462
0	77	458
1	302	446
2	2348	446
0	8134	432

Stop Event

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

Counts

37 → 269

Calls

Call 1

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

Outputs
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (neg.f64 eps) (+.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (sin.f64 x))))
(.f64 (neg.f64 eps) (+.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (sin.f64 x)))
(.f64 (neg.f64 eps) (+.f64 (sin.f64 x) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64))) (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64))) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 (sin.f64 x) eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (.f64 (neg.f64 eps) (-.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (sin.f64 x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64))) (.f64 (neg.f64 eps) (-.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 3 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 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (sin.f64 x)) (neg.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 3 binary64)) (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64))) (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps (*.f64 (sin.f64 x) eps)))
(neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps)))
(fma.f64 (neg.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) eps (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))))
(fma.f64 (neg.f64 eps) (sin.f64 x) (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))))
(fma.f64 (neg.f64 eps) #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (neg.f64 eps) (*.f64 (sin.f64 x) (neg.f64 eps)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)) (.f64 (neg.f64 eps) (-.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (sin.f64 x)))) (/.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 2 binary64)) (.f64 (neg.f64 eps) (-.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) (sin.f64 x)))))
(-.f64 (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 eps)))
(-.f64 (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 (sin.f64 x) eps))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
(-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (sin.f64 x) eps) #s(literal 3 binary64)) (fma.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (-.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)))) (pow.f64 (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps) #s(literal 2 binary64)))))
(+.f64 (.f64 (neg.f64 eps) #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))) (*.f64 (sin.f64 x) (neg.f64 eps)))
(+.f64 (.f64 (sin.f64 x) (neg.f64 eps)) (.f64 (neg.f64 eps) #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))))
#s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)
(.f64 eps (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) eps) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) eps) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(/.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 eps (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) eps (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 x x)) eps))
(fma.f64 #s(literal 1/2 binary64) eps (.f64 eps (.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(fma.f64 eps (.f64 #s(literal -1/4 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 (.f64 #s(literal -1/4 binary64) (*.f64 x x)) eps))
(fma.f64 eps #s(literal 1/2 binary64) (.f64 eps (.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) (.f64 x x)) eps) (.f64 #s(literal 1/2 binary64) eps))
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(-.f64 (neg.f64 eps) (.f64 (neg.f64 (.f64 (*.f64 eps x) eps)) #s(literal 1/4 binary64)))
(-.f64 (neg.f64 eps) (.f64 (neg.f64 (.f64 eps x)) (*.f64 #s(literal 1/4 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps x) eps)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 eps x) eps) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps x) eps)))))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 (.f64 eps x) eps) #s(literal 2 binary64)) #s(literal 1/16 binary64) (.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps x) eps)))))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps x) eps)) (neg.f64 eps))
(+.f64 (neg.f64 eps) (.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps x) eps)))
(.f64 (.f64 eps x) eps)
(.f64 (.f64 eps eps) x)
(.f64 eps (.f64 eps x))
(.f64 x (.f64 eps eps))
(*.f64 eps x)
(*.f64 x eps)
#s(literal 1/4 binary64)

eval91.0ms (0.8%)

Memory: 15.5MiB live, 65.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 26 766 to 2 970 computations (88.9% saved)

prune20.0ms (0.2%)

Memory

-13.6MiB live, 33.3MiB allocated; 2ms collecting garbage

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	673	4	677
Fresh	2	4	6
Picked	3	2	5
Done	0	7	7
Total	678	17	695

Accuracy

100.0%

Counts

695 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.5%	(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
✓	49.4%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓	48.8%	(-.f64 (cos.f64 (+.f64 x eps)) #s(approx (cos x) #s(literal 1 binary64)))
	47.4%	#s(approx (- (cos (+ x eps)) (cos x)) (fma.f64 #s(approx (* 1/2 (* (cos x) eps)) (.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps)) (neg.f64 eps) (.f64 (neg.f64 eps) (sin.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x))))))
✓	99.4%	#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)))
	99.2%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))
✓	78.1%	#s(approx (- (cos (+ x eps)) (cos x)) (*.f64 (neg.f64 eps) (sin.f64 x)))
✓	99.0%	#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 -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (*.f64 (fabs.f64 x) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps x)) (neg.f64 eps)))
✓	98.5%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps x)) (neg.f64 eps)))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) (* -1/4 eps)) (.f64 #s(literal -1/6 binary64) x)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
✓	98.5%	#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)))
	99.4%	#s(approx (- (cos (+ x eps)) (cos x)) (neg.f64 (fma.f64 (sin.f64 x) eps (.f64 #s(approx ( 1/2 (* (cos x) eps)) (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 x x) #s(literal 1/2 binary64)) eps)) eps))))
	98.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (fma.f64 #s(approx (+ (* (* (* eps x) eps) 1/4) (neg eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
✓	50.0%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
	77.8%	#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)))
✓	77.8%	#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (* (neg eps) (sin x)) (*.f64 (neg.f64 x) eps)))

Compiler

Compiled 1 176 to 467 computations (60.3% saved)

regimes19.0ms (0.2%)

Memory

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

Counts

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

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

Calls

3 calls:

7.0ms	eps
6.0ms	x
5.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes17.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

6.0ms	eps
6.0ms	x
4.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.1%)

Memory

-37.2MiB live, 10.0MiB allocated; 1ms 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)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin 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 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (fma.f64 #s(approx (+ (* (* (* eps x) eps) 1/4) (neg eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#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)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* 1/2 eps) x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (*.f64 (fabs.f64 x) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* 1/2 eps) x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin 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))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) (* -1/4 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 (.f64 eps x) eps) #s(literal 1/4 binary64) (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)) (neg eps)) (* (neg eps) (sin 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)))))
#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 -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.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)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 (fma.f64 (.f64 #s(approx (cos x) #s(literal 1 binary64)) eps) #s(literal 1/2 binary64) (sin.f64 x)) (neg.f64 eps)))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes13.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms 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)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin 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 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin x))) (fma.f64 #s(approx (+ (* (* (* eps x) eps) 1/4) (neg eps)) (neg.f64 eps)) x (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
#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)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* 1/2 eps) x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 (*.f64 (fabs.f64 x) x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) eps x)) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) #s(approx (+ (* 1/2 eps) x) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin 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))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (.f64 #s(approx (+ ( (* (cos x) eps) 1/2) (sin x)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 x) (* -1/4 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 (.f64 eps x) eps) #s(literal 1/4 binary64) (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)) (neg eps)) (* (neg eps) (sin 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)))))
#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 -1/6 binary64) x (.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))
#s(approx (- (cos (+ x eps)) (cos x)) (-.f64 (cos.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)))

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 -1/6 binary64) x (*.f64 #s(literal -1/4 binary64) eps)) x #s(literal 1 binary64)) x (*.f64 #s(literal 1/2 binary64) eps))) (neg.f64 eps)))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

4.0ms	eps
4.0ms	x
3.0ms	(-.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)

regimes9.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

3 calls:

3.0ms	x
3.0ms	eps
2.0ms	(-.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)

regimes5.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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)) #s(approx (* (+ (* (* (cos x) eps) 1/2) (sin x)) (neg eps)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (- (cos (+ x eps)) (cos x)) #s(approx (+ (* (* 1/2 (* (cos x) eps)) (neg eps)) (* (neg eps) (sin 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 #s(literal 1/2 binary64) eps x)) (neg.f64 eps)))

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Accuracy

Total -17.8b remaining (-125%)

Threshold costs -17.8b (-125%)

Counts

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

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

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
77.8%	1	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
77.8%	1	`x`
77.8%	1	`eps`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify52.0ms (0.4%)

Memory

-33.5MiB live, 13.9MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	78	234
1	150	232
2	304	232
3	613	232
4	1044	232
5	1659	232
6	2668	232
7	4320	231

Stop Event

1×	node limit

Calls

Call 1

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

derivations874.0ms (7.3%)

Memory

34.2MiB live, 81.5MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	870
1	898	833
2	2993	794
3	6770	794
0	8355	734
0	52	462
0	77	458
1	302	446
2	2348	446
0	8134	432
0	105	296
1	308	293
2	779	293
3	2454	292
4	6244	292
0	8035	272
0	281	942
1	938	925
2	2980	893
3	6118	893
0	8108	826
0	319	1139
1	1099	1094
2	3869	1061
0	8111	975
0	28	139
0	46	139
1	170	139
2	1431	139
0	8208	139

Stop Event

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

Compiler

Compiled 235 to 81 computations (65.5% saved)

preprocess74.0ms (0.6%)

Memory: -11.1MiB live, 37.9MiB allocated; 9ms collecting garbage
Compiler: Compiled 518 to 204 computations (60.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze87.0ms (0.7%)

sample9.0s (75.3%)

explain199.0ms (1.7%)

preprocess13.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

series7.0ms (0.1%)

simplify116.0ms (1%)

rewrite136.0ms (1.1%)

eval20.0ms (0.2%)

prune8.0ms (0.1%)

simplify0.0ms (0%)

series36.0ms (0.3%)

simplify218.0ms (1.8%)

rewrite125.0ms (1%)

eval35.0ms (0.3%)

prune46.0ms (0.4%)

simplify0.0ms (0%)

series23.0ms (0.2%)

simplify131.0ms (1.1%)

rewrite159.0ms (1.3%)

eval40.0ms (0.3%)

prune43.0ms (0.4%)

simplify0.0ms (0%)

series28.0ms (0.2%)

simplify145.0ms (1.2%)

rewrite141.0ms (1.2%)

eval91.0ms (0.8%)

prune20.0ms (0.2%)

regimes19.0ms (0.2%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify52.0ms (0.4%)

derivations874.0ms (7.3%)

preprocess74.0ms (0.6%)

end0.0ms (0%)

Profiling