Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze106.0ms (1.7%)

Memory

-7.1MiB live, 96.2MiB allocated; 56ms 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)

sample4.6s (73.9%)

Memory

-33.9MiB live, 6 105.1MiB allocated; 2.0s collecting garbage

Samples

2.0s	26 282×	0	invalid
777.0ms	5 566×	1	valid
180.0ms	2 690×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-tan: 647.0ms (36% of total)

ival-fabs: 221.0ms (12.3% of total)

ival-mult!: 204.0ms (11.3% of total)

ival-add!: 179.0ms (10% of total)

adjust: 178.0ms (9.9% of total)

ival-sub!: 160.0ms (8.9% of total)

ival-<: 134.0ms (7.4% of total)

ival-and: 62.0ms (3.4% of total)

ival-assert: 13.0ms (0.7% of total)

Bogosity

explain121.0ms (2%)

Memory

-15.5MiB live, 47.2MiB allocated; 62ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
237	3	(5.771636815668268e-269 4.3981893004906006e-271)	5	(-4.341299336118073e-255 6.934219090358582e-257)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
3	0	-	1	(-28.536006434126797 0.0003530805701196077)	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	235	8
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	232	5
-	3	16

Precision

0.9872340425531915

Recall

0.9789029535864979

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	232	5	0
-	3	3	13

Precision?

0.9753086419753086

Recall?

1.0

Freqs

test

number	freq
0	21
1	233
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	360×	1	valid
6.0ms	150×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-sub!: 39.0ms (63.4% of total)

ival-tan: 12.0ms (19.5% of total)

adjust: 8.0ms (13% of total)

ival-add!: 2.0ms (3.3% of total)

preprocess54.0ms (0.9%)

Memory

-41.1MiB live, 8.7MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	48
1	56	46
2	109	46
3	211	46
4	447	46
5	1011	46
6	1967	46
7	4248	46
8	5459	46
9	7561	46

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

rewrite162.0ms (2.6%)

Memory

19.4MiB live, 64.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	57	18
2	496	18
3	7816	18
0	8028	18

Stop Event

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

Counts

6 → 209

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)))) (fma.f64 (tan.f64 x) (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (sin.f64 x) (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x)))) (*.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 eps x) x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (-.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x) (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (cos.f64 x))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))) (+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (neg.f64 (cos.f64 x))) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (sin.f64 x)))) (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (cos.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (sin.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (neg.f64 (sin.f64 (+.f64 eps x))) (cos.f64 x)) (.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (cos.f64 x))) (.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
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(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps))) (fma.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 (.f64 x (/.f64 x (-.f64 x eps))) (*.f64 eps (/.f64 eps (-.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (-.f64 (.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x)))))))
(/.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 (-.f64 eps x) eps (*.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 (-.f64 eps x) eps (.f64 x x)) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (fma.f64 (-.f64 eps x) eps (.f64 x x)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 4 binary64))) (.f64 (fma.f64 eps eps (.f64 x x)) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps eps (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 6 binary64))) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps 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 (-.f64 eps x) eps (*.f64 x x))))
(/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 eps x) eps (*.f64 x x)))
(neg.f64 (-.f64 (.f64 eps (/.f64 eps (-.f64 x eps))) (.f64 x (/.f64 x (-.f64 x eps)))))
(neg.f64 (neg.f64 (+.f64 eps x)))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (fma.f64 x x (.f64 eps (-.f64 x eps))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (.f64 x x)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 eps x) (.f64 x x)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x eps) (+.f64 eps x))) (+.f64 eps x) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 2 binary64)))) (fma.f64 x x (.f64 eps (-.f64 x eps))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 eps x) eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 eps x) eps) (-.f64 (.f64 (-.f64 eps x) eps) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 eps (/.f64 (.f64 eps eps) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (neg.f64 (*.f64 eps (/.f64 eps (-.f64 x eps)))))
(fma.f64 x (/.f64 x (-.f64 x eps)) (/.f64 (*.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (*.f64 x x))))
(-.f64 (/.f64 (.f64 eps eps) (-.f64 eps x)) (/.f64 (.f64 x x) (-.f64 eps x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x eps))) (.f64 eps (/.f64 eps (-.f64 x eps))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (-.f64 eps x) eps (.f64 x x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x eps))) (neg.f64 (.f64 eps (/.f64 eps (-.f64 x eps)))))
(+.f64 (.f64 x (/.f64 x (-.f64 x eps))) (/.f64 (.f64 (neg.f64 eps) eps) (-.f64 x eps)))
(+.f64 eps x)
(+.f64 x eps)
x
eps
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))

eval23.0ms (0.4%)

Memory: 20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 700 to 787 computations (88.3% saved)

prune21.0ms (0.3%)

Memory

-30.4MiB live, 16.7MiB allocated; 2ms collecting garbage

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	180	25	205
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	180	26	206

Accuracy

99.0%

Counts

206 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.9%	(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
	59.1%	(fma.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
	22.3%	(fma.f64 (tan.f64 (+.f64 eps x)) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
	59.1%	(/.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (cos.f64 x)))
▶	58.8%	(/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (cos.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (cos.f64 x)))
	58.8%	(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	59.0%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (.f64 (cos.f64 x) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))
	58.8%	(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	21.6%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
	34.2%	(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
	21.6%	(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
	59.1%	(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
▶	59.1%	(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (cos.f64 x)))
▶	58.8%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	59.1%	(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x))
	34.8%	(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
▶	6.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	58.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	59.1%	(+.f64 (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (-.f64 (/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x)))
▶	98.8%	(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))))
	34.2%	(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 eps x) x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	58.8%	(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))

Compiler

Compiled 1 307 to 640 computations (51% saved)

rewrite119.0ms (1.9%)

Memory

-0.7MiB live, 51.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	341
0	85	309
1	419	242
0	3762	241

Stop Event

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

Counts

44 → 844

Calls

Call 1

Inputs
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))))
(+.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))
(neg.f64 (tan.f64 x))
(tan.f64 x)
x
(/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))
(fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))
(tan.f64 eps)
eps
#s(literal -1 binary64)
(/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))
(neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 (+.f64 (PI.f64) x))
(+.f64 (PI.f64) x)
(PI.f64)
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(sin.f64 (-.f64 (+.f64 eps x) x))
(-.f64 (+.f64 eps x) x)
(+.f64 eps x)
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (cos.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (cos.f64 x)))
(fma.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (cos.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (sin.f64 x))))
(+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))
#s(literal 0 binary64)
(tan.f64 (+.f64 eps x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (sin.f64 x)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))))
#s(literal 1 binary64)
(*.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (cos.f64 x))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (cos.f64 x)))
(-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x)))
(*.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x))
(neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x)))
(+.f64 (tan.f64 eps) (tan.f64 x))
(*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (cos.f64 x))

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

eval90.0ms (1.5%)

Memory: 32.8MiB live, 78.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 25 163 to 2 614 computations (89.6% saved)

prune17.0ms (0.3%)

Memory

-26.7MiB live, 20.2MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	781	3	784
Fresh	15	5	20
Picked	4	1	5
Done	0	1	1
Total	800	10	810

Accuracy

99.8%

Counts

810 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
	99.8%	(/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	34.8%	(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
▶	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
▶	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	6.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	58.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	99.8%	(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))

Compiler

Compiled 222 to 174 computations (21.6% saved)

rewrite101.0ms (1.6%)

Memory

-8.0MiB live, 38.8MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	216
0	66	159
1	374	155
0	3974	148

Stop Event

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

Counts

35 → 589

Calls

Call 1

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

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

eval68.0ms (1.1%)

Memory: 6.2MiB live, 54.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 13 294 to 2 370 computations (82.2% saved)

prune16.0ms (0.3%)

Memory

18.3MiB live, 18.3MiB allocated; 0ms collecting garbage

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	530	13	543
Fresh	2	1	3
Picked	3	2	5
Done	0	2	2
Total	535	18	553

Accuracy

100.0%

Counts

553 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps x)))
▶	100.0%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))
▶	99.9%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
	99.8%	(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
	99.8%	(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))))
	99.8%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	6.8%	(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
✓	34.8%	(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
▶	6.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
✓	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	4.0%	(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
	6.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
▶	6.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	6.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	58.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.9%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 eps) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64))
	98.6%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (+.f64 x eps) x))))) #s(literal 2 binary64))
▶	99.8%	(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))

Compiler

Compiled 500 to 375 computations (25% saved)

series78.0ms (1.3%)

Memory

-10.3MiB live, 35.6MiB allocated; 3ms collecting garbage

Counts

39 → 256

Calls

Call 1

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

Outputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (sin eps)))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (+ (sin eps) (* 1/2 (* (pow x 2) (sin eps))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (sin eps)) (+ (* 1/48 (sin eps)) (* 1/2 (+ (* -1/4 (sin eps)) (* 1/24 (sin eps)))))))) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (cos eps)))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1/2 (* x (cos eps))))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* -1 (* x (sin eps)))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps)))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps))))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps)))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
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#s(approx (+ (/ (PI) 2) x) #s(hole binary64 x))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (/ (PI) x))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x)))) (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- eps (* -1 x))) (cos (- eps (* -1 x))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1)))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (- (* 2 (PI)) (* -1 x))) (cos (- (* 2 (PI)) (* -1 x))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* -1 (* x (- (* -2 (/ (PI) x)) 1)))))
#s(approx (+ (PI) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (PI) x)) 1)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x)))) (/ (sin (- (+ (PI) (* 4 (PI))) (* -1 x))) (cos (- (+ (PI) (* 4 (PI))) (* -1 x)))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (/ (sin (- (+ eps (PI)) (* -1 x))) (cos (- (+ eps (PI)) (* -1 x))))))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (PI)) x)) 1)))))
#s(approx (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) #s(hole binary64 (/ (sin (- (+ (PI) (* 4 (PI))) (* -1 x))) (cos (- (+ (PI) (* 4 (PI))) (* -1 x))))))
#s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (PI) (* 4 (PI))) x)) 1)))))
#s(approx (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) #s(hole binary64 (* -1 (* x (- (* -4 (/ (PI) x)) 1)))))
#s(approx (+ (* 2 (PI)) (+ (PI) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ (PI) (* 2 (PI))) x)) 1)))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* 2 (/ (sin eps) (+ (cos eps) (cos (- eps (* -2 x))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (/ 2 (+ (cos eps) (cos (- eps (* -2 x)))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ (cos eps) (cos (- eps (* -2 x))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (cos (- eps (* -2 x)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (/ (sin eps) (* (cos x) (sin (- (+ eps (* 1/2 (PI))) (* -1 x)))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (sin (- (+ eps (* 1/2 (PI))) (* -1 x)))))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ eps (* 1/2 (PI))) x)) 1)))))
#s(approx (+ (/ (PI) 2) x) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ (PI) x)) 1)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (/ eps (pow (cos x) 2))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1 (/ (* (sin x) (- (* 1/2 (/ 1 (pow (cos x) 2))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (cos x))) (+ (* -1/2 (/ (sin x) (pow (cos x) 3))) (* 1/6 (/ (sin x) (pow (cos x) 3))))))) (* 1/2 (/ 1 (pow (cos x) 2)))) (+ (* -1 (/ (pow (sin x) 2) (pow (cos x) 4))) (* 1/6 (/ 1 (pow (cos x) 2)))))) (* -1 (/ (sin x) (pow (cos x) 3))))) (/ 1 (pow (cos x) 2))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (/ eps (cos x))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (* eps (+ (* (pow eps 2) (- (* (pow eps 2) (+ (* -1/5040 (/ (pow eps 2) (cos x))) (* 1/120 (/ 1 (cos x))))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 eps))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (+ 0 eps) #s(hole binary64 eps))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (cos x)))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x)))))))))))
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 eps)))
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1))))
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1))))
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 (+ x (PI))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (* 2 x)))))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (/ 2 (+ 1 (cos (* 2 x))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (+ (* eps (- (* -1 (* eps (+ (* -2 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (* 2 (/ (- (* -1/2 (cos (* 2 x))) 1/2) (pow (+ 1 (cos (* 2 x))) 2)))))) (* -2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (+ (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (+ (* 2 (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3))) (/ (* (sin (* 2 x)) (+ (* -2 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (* 2 (/ (- (* -1/2 (cos (* 2 x))) 1/2) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x)))))))) (+ (* -2 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (* 2 (/ (- (* -1/2 (cos (* 2 x))) 1/2) (pow (+ 1 (cos (* 2 x))) 2)))))) (* -2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x))))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (cos (* 2 x)))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (cos (* 2 x))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (/ eps (* (cos x) (sin (+ x (* 1/2 (PI))))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 (sin eps))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 eps))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (/ (sin (neg (* -1 eps))) (cos x))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (sin (neg (* -1 eps)))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* 2 (/ (sin eps) (+ (cos eps) (cos (- (* 2 x) (* -1 eps))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (/ 2 (+ (cos eps) (cos (- (* 2 x) (* -1 eps)))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ (cos eps) (cos (- (* 2 x) (* -1 eps))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (cos (- (* 2 x) (* -1 eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	eps	@	inf	((/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (/ (sin (+ 0 eps)) (cos x)) (sin (+ 0 eps)) (+ 0 eps) 0 eps (cos x) x (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos eps) (* (neg (sin eps)) (sin x)) (neg (sin eps)) (sin eps) (sin x) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (tan (+ (+ (PI) x) eps)) (+ (+ (PI) x) eps) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (+ (* 2 (PI)) (+ (PI) x)) 2 (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (+ (cos eps) (cos (+ (* 2 x) eps))) (cos (+ (* 2 x) eps)) (+ (* 2 x) eps) (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (sin (+ eps (+ (/ (PI) 2) x))) (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2))
14.0ms	x	@	0	((/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (/ (sin (+ 0 eps)) (cos x)) (sin (+ 0 eps)) (+ 0 eps) 0 eps (cos x) x (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos eps) (* (neg (sin eps)) (sin x)) (neg (sin eps)) (sin eps) (sin x) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (tan (+ (+ (PI) x) eps)) (+ (+ (PI) x) eps) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (+ (* 2 (PI)) (+ (PI) x)) 2 (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (+ (cos eps) (cos (+ (* 2 x) eps))) (cos (+ (* 2 x) eps)) (+ (* 2 x) eps) (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (sin (+ eps (+ (/ (PI) 2) x))) (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2))
12.0ms	x	@	inf	((/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (/ (sin (+ 0 eps)) (cos x)) (sin (+ 0 eps)) (+ 0 eps) 0 eps (cos x) x (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos eps) (* (neg (sin eps)) (sin x)) (neg (sin eps)) (sin eps) (sin x) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (tan (+ (+ (PI) x) eps)) (+ (+ (PI) x) eps) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (+ (* 2 (PI)) (+ (PI) x)) 2 (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (+ (cos eps) (cos (+ (* 2 x) eps))) (cos (+ (* 2 x) eps)) (+ (* 2 x) eps) (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (sin (+ eps (+ (/ (PI) 2) x))) (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2))
10.0ms	eps	@	-inf	((/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (/ (sin (+ 0 eps)) (cos x)) (sin (+ 0 eps)) (+ 0 eps) 0 eps (cos x) x (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos eps) (* (neg (sin eps)) (sin x)) (neg (sin eps)) (sin eps) (sin x) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (tan (+ (+ (PI) x) eps)) (+ (+ (PI) x) eps) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (+ (* 2 (PI)) (+ (PI) x)) 2 (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (+ (cos eps) (cos (+ (* 2 x) eps))) (cos (+ (* 2 x) eps)) (+ (* 2 x) eps) (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (sin (+ eps (+ (/ (PI) 2) x))) (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2))
10.0ms	eps	@	0	((/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (/ (sin (+ 0 eps)) (cos x)) (sin (+ 0 eps)) (+ 0 eps) 0 eps (cos x) x (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos eps) (* (neg (sin eps)) (sin x)) (neg (sin eps)) (sin eps) (sin x) (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (tan (+ x eps)) (+ x eps) (tan (+ (+ (PI) x) (PI))) (+ (+ (PI) x) (PI)) (+ (PI) x) (PI) (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (tan (+ (+ (PI) x) eps)) (+ (+ (PI) x) eps) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (+ (* 2 (PI)) (+ (PI) x)) 2 (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (+ (cos eps) (cos (+ (* 2 x) eps))) (cos (+ (* 2 x) eps)) (+ (* 2 x) eps) (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (sin (+ eps (+ (/ (PI) 2) x))) (+ eps (+ (/ (PI) 2) x)) (+ (/ (PI) 2) x) (/ (PI) 2))

rewrite157.0ms (2.5%)

Memory

36.0MiB live, 78.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1338	9337
0	1404	7705
0	8628	7353

Stop Event

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

Counts

295 → 446

Calls

Call 1

Inputs
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))
(/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x))
(sin.f64 (+.f64 #s(literal 0 binary64) eps))
(+.f64 #s(literal 0 binary64) eps)
#s(literal 0 binary64)
eps
(cos.f64 x)
x
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))
(cos.f64 eps)
(*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))
(neg.f64 (sin.f64 eps))
(sin.f64 eps)
(sin.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(+.f64 (+.f64 (PI.f64) x) (PI.f64))
(+.f64 (PI.f64) x)
(PI.f64)
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(+.f64 (+.f64 (PI.f64) x) eps)
(tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64)))
(+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))
(+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64))
(fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))
#s(literal 2 binary64)
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 2 binary64) x eps)
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (+ (/ (sin eps) (cos eps)) (/ (* x (pow (sin eps) 2)) (pow (cos eps) 2)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (+ (* x (- (* -1 (* x (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (/ (* (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (cos eps)) (/ (* (sin eps) (+ (* 1/6 (sin eps)) (* 1/2 (sin eps)))) (pow (cos eps) 2)))))) (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (sin eps)))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (+ (sin eps) (* 1/2 (* (pow x 2) (sin eps))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (+ (sin eps) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (sin eps)) (+ (* 1/48 (sin eps)) (* 1/2 (+ (* -1/4 (sin eps)) (* 1/24 (sin eps)))))))) (+ (* -1/4 (sin eps)) (* 1/24 (sin eps))))) (* -1/2 (sin eps)))))))
#s(approx (cos x) #s(hole binary64 1))
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))))
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (cos eps)))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos eps) (* -1 (* x (sin eps))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* -1/2 (* x (cos eps))))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos eps) (* x (+ (* -1 (sin eps)) (* x (+ (* -1/2 (cos eps)) (* 1/6 (* x (sin eps))))))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* -1 (* x (sin eps)))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* x (+ (* -1 (sin eps)) (* 1/6 (* (pow x 2) (sin eps)))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* -1/120 (* (pow x 2) (sin eps))) (* 1/6 (sin eps))))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* x (+ (* -1 (sin eps)) (* (pow x 2) (+ (* 1/6 (sin eps)) (* (pow x 2) (+ (* -1/120 (sin eps)) (* 1/5040 (* (pow x 2) (sin eps)))))))))))
#s(approx (sin x) #s(hole binary64 x))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))))
#s(approx (sin x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (/ (sin eps) (cos eps)) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* x (- (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* x (- (+ (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))) (* x (- (+ (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI))))) (* x (- (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin eps) 2) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow (cos eps) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* 1/6 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (* (sin eps) (- 1 (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps)))))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (/ (sin eps) (cos eps)))))
#s(approx (+ x eps) #s(hole binary64 eps))
#s(approx (+ x eps) #s(hole binary64 (+ eps x)))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (/ (sin (* 2 (PI))) (cos (* 2 (PI))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (/ (* x (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))) (cos (* 2 (PI))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (tan (+ (+ (PI) x) (PI))) #s(hole binary64 (+ (* x (- (+ 1 (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (/ (* (pow (sin (* 2 (PI))) 2) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (pow (cos (* 2 (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (* 1/6 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2)))))))) (* -1 (/ (* (sin (* 2 (PI))) (- 1 (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (cos (* 2 (PI)))))))) (* -1 (/ (pow (sin (* 2 (PI))) 2) (pow (cos (* 2 (PI))) 2))))) (/ (sin (* 2 (PI))) (cos (* 2 (PI)))))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (* 2 (PI))))
#s(approx (+ (+ (PI) x) (PI)) #s(hole binary64 (+ x (* 2 (PI)))))
#s(approx (+ (PI) x) #s(hole binary64 (PI)))
#s(approx (+ (PI) x) #s(hole binary64 (+ x (PI))))
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#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (* eps (+ (* -1/6 (/ (pow eps 2) (cos x))) (/ 1 (cos x))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (* eps (+ (* (pow eps 2) (- (* 1/120 (/ (pow eps 2) (cos x))) (* 1/6 (/ 1 (cos x))))) (/ 1 (cos x))))))
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#s(approx (sin (+ 0 eps)) #s(hole binary64 eps))
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#s(approx (sin (+ 0 eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (+ 0 eps) #s(hole binary64 eps))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (cos x)))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos x) (* -1 (* eps (sin x))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) #s(hole binary64 (+ (cos x) (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* 1/6 (* eps (sin x))))))))))
#s(approx (cos eps) #s(hole binary64 1))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* -1/2 (pow eps 2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))))
#s(approx (cos eps) #s(hole binary64 (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* -1 (* eps (sin x)))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* 1/6 (* (pow eps 2) (sin x)))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* -1/120 (* (pow eps 2) (sin x))) (* 1/6 (sin x))))))))
#s(approx (* (neg (sin eps)) (sin x)) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* (pow eps 2) (+ (* 1/6 (sin x)) (* (pow eps 2) (+ (* -1/120 (sin x)) (* 1/5040 (* (pow eps 2) (sin x)))))))))))
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 eps)))
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* 1/6 (pow eps 2)) 1))))
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1))))
#s(approx (neg (sin eps)) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1))))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (/ (sin x) (cos x)) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (tan (+ x eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (/ (sin (+ x (PI))) (cos (+ x (PI)))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI))))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (/ (sin (+ x (PI))) (cos (+ x (PI))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (+ (* eps (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (/ (* eps (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))) (cos (+ x (PI))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (+ (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin (+ x (PI))) 2) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (pow (cos (+ x (PI))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (* 1/6 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2)))))))) (* -1 (/ (* (sin (+ x (PI))) (- 1 (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (cos (+ x (PI)))))))) (* -1 (/ (pow (sin (+ x (PI))) 2) (pow (cos (+ x (PI))) 2))))) (/ (sin (+ x (PI))) (cos (+ x (PI)))))))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 (+ x (PI))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* 2 (/ eps (+ 1 (cos (* 2 x)))))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* eps (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* eps (+ (* eps (+ (* 2 (* eps (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x)))))))))) (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* eps (+ (* eps (+ (* 2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* eps (+ (* -2 (* eps (+ (* -1 (/ (* (sin (* 2 x)) (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))) (+ 1 (cos (* 2 x))))) (+ (* 1/6 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3)))))) (* 2 (- (* 1/2 (/ 1 (pow (+ 1 (cos (* 2 x))) 2))) (+ (* -1 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (+ (* -1/2 (/ (cos (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (* 1/6 (/ 1 (+ 1 (cos (* 2 x))))))))))))) (* 2 (/ 1 (+ 1 (cos (* 2 x)))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (/ 2 (+ 1 (cos (* 2 x))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (+ (* 2 (/ (* eps (sin (* 2 x))) (pow (+ 1 (cos (* 2 x))) 2))) (* 2 (/ 1 (+ 1 (cos (* 2 x))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (+ (* eps (- (* -1 (* eps (+ (* -2 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (* 2 (/ (- (* -1/2 (cos (* 2 x))) 1/2) (pow (+ 1 (cos (* 2 x))) 2)))))) (* -2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (+ (* eps (- (* eps (- (* -1 (* eps (+ (* 1/3 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))) (+ (* 2 (/ (* (sin (* 2 x)) (- (* -1/2 (cos (* 2 x))) 1/2)) (pow (+ 1 (cos (* 2 x))) 3))) (/ (* (sin (* 2 x)) (+ (* -2 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (* 2 (/ (- (* -1/2 (cos (* 2 x))) 1/2) (pow (+ 1 (cos (* 2 x))) 2))))) (+ 1 (cos (* 2 x)))))))) (+ (* -2 (/ (pow (sin (* 2 x)) 2) (pow (+ 1 (cos (* 2 x))) 3))) (* 2 (/ (- (* -1/2 (cos (* 2 x))) 1/2) (pow (+ 1 (cos (* 2 x))) 2)))))) (* -2 (/ (sin (* 2 x)) (pow (+ 1 (cos (* 2 x))) 2))))) (* 2 (/ 1 (+ 1 (cos (* 2 x))))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (cos (* 2 x)))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x))))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x))))) 1/2)) (sin (* 2 x))))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (cos (* 2 x))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (+ (cos (* 2 x)) (* -1 (* eps (sin (* 2 x)))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* -1/2 (* eps (cos (* 2 x)))) (sin (* 2 x)))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (+ (cos (* 2 x)) (* eps (- (* eps (+ (* -1/2 (cos (* 2 x))) (* 1/6 (* eps (sin (* 2 x)))))) (sin (* 2 x)))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (/ eps (* (cos x) (sin (+ x (* 1/2 (PI))))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (* eps (+ (* -1 (/ (* eps (cos (+ x (* 1/2 (PI))))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (* eps (+ (* eps (- (* eps (- (+ (* -1 (* eps (+ (* -1/6 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (+ (* 1/2 (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2)))) (/ (* (cos (+ x (* 1/2 (PI)))) (- (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (sin (+ x (* 1/2 (PI))))))))) (* 1/2 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))) (+ (* -1 (/ (pow (cos (+ x (* 1/2 (PI)))) 2) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 3)))) (* 1/6 (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI)))))))))) (/ (cos (+ x (* 1/2 (PI)))) (* (cos x) (pow (sin (+ x (* 1/2 (PI)))) 2))))) (/ 1 (* (cos x) (sin (+ x (* 1/2 (PI))))))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (sin (+ x (* 1/2 (PI))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (cos (+ x (* 1/2 (PI))))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* -1/2 (* eps (sin (+ x (* 1/2 (PI)))))))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (+ (sin (+ x (* 1/2 (PI)))) (* eps (+ (cos (+ x (* 1/2 (PI)))) (* eps (+ (* -1/2 (sin (+ x (* 1/2 (PI))))) (* -1/6 (* eps (cos (+ x (* 1/2 (PI)))))))))))))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 (+ x (* 1/2 (PI)))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (sin eps)))
#s(approx (cos eps) #s(hole binary64 (cos eps)))
#s(approx (neg (sin eps)) #s(hole binary64 (* -1 (sin eps))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (+ x eps) #s(hole binary64 (* eps (+ 1 (/ x eps)))))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 eps))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 (* eps (+ 1 (+ (/ x eps) (/ (PI) eps))))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps))))))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 eps))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 (* eps (+ 1 (+ (* 1/2 (/ (PI) eps)) (/ x eps))))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (+ (* -1 (* (sin eps) (sin x))) (* (cos eps) (cos x)))))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) #s(hole binary64 (/ (sin (neg (* -1 eps))) (cos x))))
#s(approx (sin (+ 0 eps)) #s(hole binary64 (sin (neg (* -1 eps)))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) #s(hole binary64 (- (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps)))) (/ (sin (+ x (* 2 (PI)))) (cos (+ x (* 2 (PI))))))))
#s(approx (tan (+ x eps)) #s(hole binary64 (/ (sin (- x (* -1 eps))) (cos (- x (* -1 eps))))))
#s(approx (+ x eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) #s(hole binary64 (- (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps)))) (/ (sin (+ x (+ (PI) (* 4 (PI))))) (cos (+ x (+ (PI) (* 4 (PI)))))))))
#s(approx (tan (+ (+ (PI) x) eps)) #s(hole binary64 (/ (sin (- (+ x (PI)) (* -1 eps))) (cos (- (+ x (PI)) (* -1 eps))))))
#s(approx (+ (+ (PI) x) eps) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (PI)) eps)) 1)))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) #s(hole binary64 (* 2 (/ (sin eps) (+ (cos eps) (cos (- (* 2 x) (* -1 eps))))))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) #s(hole binary64 (/ 2 (+ (cos eps) (cos (- (* 2 x) (* -1 eps)))))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) #s(hole binary64 (+ (cos eps) (cos (- (* 2 x) (* -1 eps))))))
#s(approx (cos (+ (* 2 x) eps)) #s(hole binary64 (cos (- (* 2 x) (* -1 eps)))))
#s(approx (+ (* 2 x) eps) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) #s(hole binary64 (/ (sin (neg (* -1 eps))) (* (cos x) (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) #s(hole binary64 (sin (- (+ x (* 1/2 (PI))) (* -1 eps)))))
#s(approx (+ eps (+ (/ (PI) 2) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (+ x (* 1/2 (PI))) eps)) 1)))))

Outputs
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (cos.f64 (+.f64 x eps))))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 eps) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 eps)) (.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 eps)))
eps
#s(literal 0 binary64)
eps
(sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
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(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 eps eps)) (-.f64 (*.f64 #s(literal 2 binary64) x) eps))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))) (-.f64 eps (*.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 eps eps) (.f64 (.f64 #s(literal 2 binary64) x) eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)) (.f64 eps (.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
(-.f64 eps (*.f64 #s(literal -2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) eps)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (/.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)))
(fma.f64 (sin.f64 eps) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(sin.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps))
(+.f64 (.f64 (sin.f64 eps) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (.f64 (cos.f64 eps) (cos.f64 x)))
(/.f64 (-.f64 (.f64 eps eps) (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))) (-.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)) (.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)))))
(+.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64))) x)
(+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x) eps)
(+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (.f64 x x)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (-.f64 (.f64 x x) (.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x)
(+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (tan.f64 eps)))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 (tan.f64 eps))) x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (.f64 (sin.f64 eps) #s(literal 2/3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 (tan.f64 eps))) (sin.f64 eps)) (cos.f64 eps))))) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 (tan.f64 eps)))) x (.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (/ (sin (+ 0 eps)) (cos x)) (sin.f64 eps))
#s(approx (/ (sin (+ 0 eps)) (cos x)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x x)) (sin.f64 eps) (sin.f64 eps)))
#s(approx (/ (sin (+ 0 eps)) (cos x)) (fma.f64 (fma.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (sin.f64 eps) #s(literal -5/24 binary64)) (.f64 #s(literal 1/2 binary64) (sin.f64 eps))) (*.f64 x x) (sin.f64 eps)))
#s(approx (/ (sin (+ 0 eps)) (cos x)) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (sin.f64 eps) (fma.f64 #s(literal 1/48 binary64) (sin.f64 eps) (.f64 (.f64 (sin.f64 eps) #s(literal -5/24 binary64)) #s(literal 1/2 binary64)))) (.f64 x x))) (.f64 (sin.f64 eps) #s(literal -5/24 binary64))) (.f64 x x) (.f64 #s(literal 1/2 binary64) (sin.f64 eps))) (.f64 x x) (sin.f64 eps)))
#s(approx (cos x) #s(literal 1 binary64))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 x x) #s(literal 1/24 binary64)) (.f64 x x)) #s(literal 1/2 binary64)) (.f64 x x) #s(literal 1 binary64)))
#s(approx x x)
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (cos.f64 eps))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 x) (sin.f64 eps) (cos.f64 eps)))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 eps) (neg.f64 (sin.f64 eps))) x (cos.f64 eps)))
#s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 eps) x) #s(literal 1/6 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 eps))) x (neg.f64 (sin.f64 eps))) x (cos.f64 eps)))
#s(approx (* (neg (sin eps)) (sin x)) (*.f64 (neg.f64 x) (sin.f64 eps)))
#s(approx (* (neg (sin eps)) (sin x)) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sin.f64 eps) (neg.f64 (sin.f64 eps))) x))
#s(approx (* (neg (sin eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/120 binary64) (.f64 x x)) (sin.f64 eps) (.f64 #s(literal 1/6 binary64) (sin.f64 eps))) (*.f64 x x) (neg.f64 (sin.f64 eps))) x))
#s(approx (* (neg (sin eps)) (sin x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x x)) (sin.f64 eps) (.f64 #s(literal -1/120 binary64) (sin.f64 eps))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (sin.f64 eps))) (*.f64 x x) (neg.f64 (sin.f64 eps))) x))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (-.f64 (tan.f64 eps) (tan.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) (tan.f64 (.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))))) (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) x (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) (tan.f64 (.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/6 binary64))) (fma.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) x (neg.f64 (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))))))) (neg.f64 (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) x (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) (tan.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))))
#s(approx (tan (+ x eps)) (tan.f64 eps))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 x (*.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (cos.f64 eps))))) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 x eps))
#s(approx (tan (+ (+ (PI) x) (PI))) (tan.f64 (*.f64 (PI.f64) #s(literal 2 binary64))))
#s(approx (tan (+ (+ (PI) x) (PI))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) x (tan.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (tan (+ (+ (PI) x) (PI))) (fma.f64 (-.f64 (fma.f64 x (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) x (tan.f64 (.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (tan (+ (+ (PI) x) (PI))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))))))) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))))) x (tan.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (+ (+ (PI) x) (PI)) (*.f64 (PI.f64) #s(literal 2 binary64)))
#s(approx (+ (+ (PI) x) (PI)) (fma.f64 (PI.f64) #s(literal 2 binary64) x))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 (PI.f64) x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 eps) (tan.f64 (*.f64 #s(literal 5 binary64) (PI.f64)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))) (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) x (-.f64 (tan.f64 eps) (tan.f64 (.f64 #s(literal 5 binary64) (PI.f64))))))
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#s(approx (tan (+ x eps)) (tan.f64 eps))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 x (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (neg.f64 (cos.f64 eps)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) x) (*.f64 (neg.f64 (sin.f64 eps)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) (neg.f64 (cos.f64 eps)))))) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal 2 binary64))))) x (tan.f64 eps)))
#s(approx (+ (+ (PI) x) eps) (+.f64 (PI.f64) eps))
#s(approx (+ (+ (PI) x) eps) (+.f64 (+.f64 (PI.f64) x) eps))
#s(approx (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (tan.f64 (*.f64 #s(literal 5 binary64) (PI.f64))))
#s(approx (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))))) x (tan.f64 (*.f64 #s(literal 5 binary64) (PI.f64)))))
#s(approx (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (fma.f64 (-.f64 (fma.f64 x (.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))))) x (tan.f64 (.f64 #s(literal 5 binary64) (PI.f64)))))
#s(approx (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 x) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))))) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))))) (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))))))) x #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal 5 binary64) (PI.f64))) #s(literal 2 binary64))))) x (tan.f64 (*.f64 #s(literal 5 binary64) (PI.f64)))))
#s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (*.f64 #s(literal 5 binary64) (PI.f64)))
#s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))
#s(approx (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (*.f64 #s(literal 4 binary64) (PI.f64)))
#s(approx (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (fma.f64 #s(literal 4 binary64) (PI.f64) x))
#s(approx (+ (* 2 (PI)) (+ (PI) x)) (*.f64 #s(literal 3 binary64) (PI.f64)))
#s(approx (+ (* 2 (PI)) (+ (PI) x)) (fma.f64 #s(literal 3 binary64) (PI.f64) x))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (fma.f64 x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (tan.f64 eps)))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1/2 binary64) (+.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (sin.f64 eps) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (cos.f64 eps)) (/.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (.f64 #s(literal -1/2 binary64) (+.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))) x (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (tan.f64 eps)))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (fma.f64 x (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal -1 binary64))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (fma.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) x) (/.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) x (pow.f64 (cos.f64 eps) #s(literal -1 binary64))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64) (fma.f64 #s(literal 2/3 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (neg.f64 (/.f64 (.f64 (-.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) (sin.f64 eps)) (cos.f64 eps))))) (-.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) x (.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) x (pow.f64 (cos.f64 eps) #s(literal -1 binary64))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (*.f64 (cos.f64 eps) #s(literal 2 binary64)))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (fma.f64 #s(literal -2 binary64) (.f64 (sin.f64 eps) x) (.f64 (cos.f64 eps) #s(literal 2 binary64))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (cos.f64 eps) (.f64 #s(literal -2 binary64) (sin.f64 eps))) x (*.f64 (cos.f64 eps) #s(literal 2 binary64))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (sin.f64 eps) x) (.f64 #s(literal -2 binary64) (cos.f64 eps))) x (.f64 #s(literal -2 binary64) (sin.f64 eps))) x (.f64 (cos.f64 eps) #s(literal 2 binary64))))
#s(approx (cos (+ (* 2 x) eps)) (cos.f64 eps))
#s(approx (cos (+ (* 2 x) eps)) (fma.f64 #s(literal -2 binary64) (*.f64 (sin.f64 eps) x) (cos.f64 eps)))
#s(approx (cos (+ (* 2 x) eps)) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) (cos.f64 eps) (.f64 #s(literal -2 binary64) (sin.f64 eps))) x (cos.f64 eps)))
#s(approx (cos (+ (* 2 x) eps)) (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (.f64 (sin.f64 eps) x) (.f64 #s(literal -2 binary64) (cos.f64 eps))) x (*.f64 #s(literal -2 binary64) (sin.f64 eps))) x (cos.f64 eps)))
#s(approx (+ (* 2 x) eps) eps)
#s(approx (+ (* 2 x) eps) (fma.f64 #s(literal 2 binary64) x eps))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (fma.f64 (.f64 x (/.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (fma.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))))) (/.f64 (*.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))) #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (sin.f64 eps) (.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal -2/3 binary64)) (sin.f64 eps))) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))) (fma.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))))) x) (/.f64 (.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) (sin.f64 eps)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) x (/.f64 (sin.f64 eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))
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#s(approx (tan (+ x eps)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (fma.f64 (neg.f64 eps) (+.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 (sin.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (cos.f64 x))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) eps (-.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) eps (-.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) eps) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) eps (-.f64 (tan.f64 x) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x)))))
#s(approx (tan (+ x eps)) (tan.f64 x))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 eps (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (tan (+ x eps)) (fma.f64 (-.f64 (fma.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (+.f64 (fma.f64 (.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) #s(literal 1/6 binary64)) eps) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) (neg.f64 (cos.f64 x)))))) eps #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 2 binary64))))) eps (tan.f64 x)))
#s(approx (+ (+ (PI) x) eps) (+.f64 (PI.f64) x))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (.f64 (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) eps) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))) eps (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))))) eps (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) eps) (fma.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) #s(literal -1 binary64) (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/6 binary64) (/.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (.f64 (-.f64 (.f64 (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))) #s(literal 2 binary64))) eps (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) eps (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) eps))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (fma.f64 (/.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) eps) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (fma.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) eps (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 eps) (fma.f64 (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/3 binary64) (fma.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 (/.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))) (.f64 (/.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64))))) (fma.f64 (/.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal -2 binary64)))) eps (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) eps (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (+.f64 (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) eps) (sin.f64 (.f64 #s(literal 2 binary64) x))) eps (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (+.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) eps) (sin.f64 (.f64 #s(literal 2 binary64) x))) eps (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
#s(approx (cos (+ (* 2 x) eps)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (cos (+ (* 2 x) eps)) (fma.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (cos (+ (* 2 x) eps)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) eps) (cos.f64 (.f64 #s(literal 2 binary64) x))) (sin.f64 (.f64 #s(literal 2 binary64) x))) eps (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (cos (+ (* 2 x) eps)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1/2 binary64))) eps) (sin.f64 (.f64 #s(literal 2 binary64) x))) eps (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (/.f64 (/.f64 eps (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (.f64 (fma.f64 (.f64 (/.f64 eps (cos.f64 x)) (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (.f64 (fma.f64 (-.f64 (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (cos.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x))))) eps) (/.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) eps (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (neg.f64 eps) (fma.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/6 binary64) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (cos.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x))))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (.f64 (/.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x))) (fma.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (.f64 (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (cos.f64 x))) #s(literal -1 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)))))) eps) (/.f64 (/.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 x)) (pow.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) eps (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) eps))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) (fma.f64 (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) eps) (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) eps (cos.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))
#s(approx (+ eps (+ (/ (PI) 2) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (cos eps) (cos.f64 eps))
#s(approx (neg (sin eps)) (neg.f64 (sin.f64 eps)))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (+ x eps) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps))
#s(approx (+ (+ (PI) x) eps) eps)
#s(approx (+ (+ (PI) x) eps) (*.f64 (+.f64 (/.f64 (+.f64 (PI.f64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (+ (* 2 x) eps) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps))
#s(approx (+ eps (+ (/ (PI) 2) x)) eps)
#s(approx (+ eps (+ (/ (PI) 2) x)) (*.f64 (+.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps) #s(literal 1 binary64)) eps))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (/.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)) (cos.f64 (+.f64 x eps))))
#s(approx (/ (sin (+ 0 eps)) (cos x)) (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)))
#s(approx (sin eps) (neg.f64 (neg.f64 (sin.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan (+ (+ (PI) x) (PI)))) (-.f64 (tan.f64 (-.f64 x (neg.f64 eps))) (tan.f64 (fma.f64 (PI.f64) #s(literal 2 binary64) x))))
#s(approx (tan (+ x eps)) (tan.f64 (-.f64 x (neg.f64 eps))))
#s(approx (+ x eps) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
#s(approx (tan (+ x eps)) (tan.f64 (-.f64 (+.f64 (PI.f64) x) (neg.f64 eps))))
#s(approx (+ (+ (PI) x) eps) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (+.f64 (PI.f64) x) eps)) #s(literal 1 binary64))))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 1 binary64) eps))) (cos.f64 eps))))
#s(approx (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps)))) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1 binary64) eps))) (cos.f64 eps))))
#s(approx (+ (cos eps) (cos (+ (* 2 x) eps))) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1 binary64) eps))) (cos.f64 eps)))
#s(approx (cos (+ (* 2 x) eps)) (cos.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 1 binary64) eps))))
#s(approx (+ (* 2 x) eps) (.f64 (neg.f64 eps) (-.f64 (.f64 (/.f64 x eps) #s(literal -2 binary64)) #s(literal 1 binary64))))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (/.f64 (/.f64 (neg.f64 (neg.f64 (sin.f64 eps))) (cos.f64 x)) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps)))))
#s(approx (sin (+ eps (+ (/ (PI) 2) x))) (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps))))
#s(approx (+ eps (+ (/ (PI) 2) x)) (*.f64 (neg.f64 eps) (-.f64 (neg.f64 (/.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) #s(literal 1 binary64))))

eval63.0ms (1%)

Memory: 3.8MiB live, 49.5MiB allocated; 2ms collecting garbage
Compiler: Compiled 14 411 to 2 237 computations (84.5% saved)

prune30.0ms (0.5%)

Memory

-30.1MiB live, 23.0MiB allocated; 10ms collecting garbage

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	455	12	467
Fresh	7	2	9
Picked	5	0	5
Done	2	2	4
Total	469	16	485

Accuracy

100.0%

Counts

485 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps x)))
	99.7%	(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) #s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))))
	99.9%	(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
	99.8%	(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
	99.6%	(/.f64 (/.f64 #s(approx (sin eps) eps) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
	6.9%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
✓	6.9%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	58.8%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.6%	(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (+.f64 x eps) x))))) #s(literal 2 binary64))
	99.8%	(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
	99.6%	(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
	99.7%	(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) #s(approx (+ (cos eps) (cos (+ ( 2 x) eps))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))))
	97.8%	#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
	99.9%	#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))))
	6.9%	#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
	99.1%	#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))

Compiler

Compiled 1 561 to 564 computations (63.9% saved)

regimes38.0ms (0.6%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (/.f64 #s(approx (sin eps) eps) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) #s(approx (+ (cos eps) (cos (+ ( 2 x) eps))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) #s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (+.f64 x eps) x))))) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (.f64 (cos.f64 eps) (cos.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x))) (cos.f64 x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (neg.f64 (sin.f64 x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 (+.f64 eps x)))) (cos.f64 x)))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 eps x) x))) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(+.f64 (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (-.f64 (/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x)))
(+.f64 (+.f64 (neg.f64 (tan.f64 x)) (/.f64 (neg.f64 (tan.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (/.f64 (tan.f64 eps) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 eps) (tan.f64 x)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal 1 binary64)) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))))
(/.f64 (fma.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (cos.f64 x) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (.f64 (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))) (cos.f64 x)))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (cos.f64 x)) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (sin.f64 x))) (*.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (cos.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (.f64 (cos.f64 x) (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))))) (.f64 (cos.f64 x) (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (neg.f64 (+.f64 (tan.f64 eps) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))
(fma.f64 (tan.f64 (+.f64 eps x)) (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (-.f64 (*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64))) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (tan.f64 x) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)))))

Outputs
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes28.0ms (0.4%)

Memory

-29.6MiB live, 17.2MiB allocated; 1ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (/.f64 #s(approx (sin eps) eps) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 eps)) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))))
(/.f64 (/.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 x eps)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(*.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) #s(approx (+ (cos eps) (cos (+ ( 2 x) eps))) (+.f64 (fma.f64 (neg.f64 eps) (sin.f64 (.f64 #s(literal 2 binary64) x)) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (cos.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (cos.f64 x)) #s(approx (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x))) (fma.f64 (neg.f64 eps) (sin.f64 x) (cos.f64 x))))
(.f64 (/.f64 (sin.f64 (+.f64 #s(literal 0 binary64) eps)) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (+.f64 x eps) x))))) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 (tan.f64 eps) (tan.f64 x)) (neg.f64 (fma.f64 (tan.f64 eps) (tan.f64 x) #s(literal -1 binary64)))) (tan.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(*.f64 (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) (/.f64 (-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) (+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))))

Outputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (sin (+ eps (+ (/ (PI) 2) x)))) (/.f64 (sin.f64 eps) (*.f64 (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (cos.f64 x))))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.3%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (/.f64 #s(approx (sin eps) eps) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 eps #s(literal 0 binary64))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))

Outputs
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 eps eps) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (/.f64 #s(approx (sin eps) eps) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(/.f64 (/.f64 #s(approx (sin eps) (.f64 (fma.f64 (.f64 eps eps) #s(literal -1/6 binary64) #s(literal 1 binary64)) eps)) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes15.0ms (0.2%)

Memory

-36.6MiB live, 10.8MiB allocated; 1ms collecting garbage

Counts

18 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))
(.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) (fma.f64 (.f64 eps eps) #s(literal -1/2 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(/.f64 (/.f64 #s(approx (sin eps) eps) (cos.f64 x)) (sin.f64 (+.f64 eps (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))

Outputs

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes12.0ms (0.2%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 2 binary64) (+.f64 #s(approx (cos eps) #s(literal 1 binary64)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (tan.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 eps x)) (-.f64 x eps))) (tan.f64 x))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))
#s(approx (* (sin eps) (/ 2 (+ (cos eps) (cos (+ (* 2 x) eps))))) (/.f64 (.f64 #s(literal 2 binary64) eps) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)))) (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 eps (fma.f64 #s(literal 2 binary64) (PI.f64) x)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 #s(approx (+ (+ (+ (* 2 (PI)) (+ (PI) x)) (PI)) (PI)) (fma.f64 #s(literal 5 binary64) (PI.f64) x))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 (PI.f64) x)) (PI.f64)) (PI.f64))))

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))

Outputs
#s(approx (/ (/ (sin (+ 0 eps)) (cos x)) (+ (* (cos x) (cos eps)) (* (neg (sin eps)) (sin x)))) (tan.f64 eps))

Calls

3 calls:

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

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

derivations196.0ms (3.2%)

Memory

-22.8MiB live, 24.3MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 184 to 90 computations (51.1% saved)

preprocess51.0ms (0.8%)

Memory: 40.6MiB live, 40.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 452 to 240 computations (46.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze106.0ms (1.7%)

sample4.6s (73.9%)

explain121.0ms (2%)

preprocess54.0ms (0.9%)

rewrite162.0ms (2.6%)

eval23.0ms (0.4%)

prune21.0ms (0.3%)

rewrite119.0ms (1.9%)

eval90.0ms (1.5%)

prune17.0ms (0.3%)

rewrite101.0ms (1.6%)

eval68.0ms (1.1%)

prune16.0ms (0.3%)

series78.0ms (1.3%)

rewrite157.0ms (2.5%)

eval63.0ms (1%)

prune30.0ms (0.5%)

regimes38.0ms (0.6%)

regimes28.0ms (0.4%)

regimes16.0ms (0.3%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes12.0ms (0.2%)

regimes11.0ms (0.2%)

regimes3.0ms (0%)

derivations196.0ms (3.2%)

preprocess51.0ms (0.8%)

end0.0ms (0%)

Profiling