Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze37.0ms (0.5%)

Memory

10.2MiB live, 50.6MiB allocated; 13ms 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)

sample4.4s (61.1%)

Memory

15.4MiB live, 5 118.9MiB allocated; 1.8s collecting garbage

Samples

2.4s	26 266×	0	invalid
730.0ms	5 583×	1	valid
209.0ms	2 673×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-tan: 744.0ms (39.3% of total)

ival-fabs: 254.0ms (13.4% of total)

ival-add!: 223.0ms (11.8% of total)

ival-mult!: 194.0ms (10.2% of total)

adjust: 147.0ms (7.8% of total)

ival-<: 146.0ms (7.7% of total)

ival-sub!: 109.0ms (5.8% of total)

ival-and: 63.0ms (3.3% of total)

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

Bogosity

preprocess43.0ms (0.6%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	46
1	84	42
2	432	42
3	3811	42

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series28.0ms (0.4%)

Memory

-26.9MiB live, 19.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	1190

Stop Event

1×	iter-limit

Counts

6 → 31

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

Calls

6 calls:

Time	Variable	Point
8.0ms	x	0
2.0ms	x	-inf
2.0ms	eps	0
2.0ms	eps	inf
2.0ms	eps	-inf

rewrite93.0ms (1.3%)

Memory

23.9MiB live, 121.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	28	18
2	136	18
3	1090	18
0	4021	18

Stop Event

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

Counts

6 → 85

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

eval13.0ms (0.2%)

Memory: -24.9MiB live, 20.6MiB allocated; 2ms collecting garbage
Compiler: Compiled 2 567 to 431 computations (83.2% saved)

prune12.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB allocated; 0ms collecting garbage

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	99	13	112
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	99	14	113

Accuracy

100.0%

Counts

113 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
	61.8%	(/.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)))
	61.7%	(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
	61.7%	(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
▶	61.7%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	60.8%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	61.7%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
▶	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
	99.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Compiler

Compiled 1 129 to 454 computations (59.8% saved)

series188.0ms (2.6%)

Memory

-7.7MiB live, 267.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1420	30072

Stop Event

1×	iter-limit

Counts

63 → 288

Calls

Call 1

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

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

6 calls:

Time	Variable	Point
25.0ms	x	-inf
21.0ms	eps	inf
17.0ms	x	0
16.0ms	x	inf
14.0ms	eps	0

rewrite259.0ms (3.6%)

Memory

1.2MiB live, 335.4MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	2595
0	125	2479
1	375	1471
2	2095	1471
0	5470	1349

Stop Event

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

Counts

63 → 1 025

Calls

Call 1

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

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

eval450.0ms (6.2%)

Memory: 21.1MiB live, 800.5MiB allocated; 271ms collecting garbage
Compiler: Compiled 204 740 to 15 931 computations (92.2% saved)

prune41.0ms (0.6%)

Memory

-3.3MiB live, 91.7MiB allocated; 17ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1 489	9	1 498
Fresh	8	0	8
Picked	5	0	5
Done	0	1	1
Total	1 502	10	1 512

Accuracy

100.0%

Counts

1 512 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	100.0%	(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
▶	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.8%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 eps (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
▶	100.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(literal 1 binary64) (.f64 eps (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (*.f64 (tan.f64 x) (tan.f64 x))))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
▶	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* 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))))) (+.f64 eps (*.f64 x (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))))

Compiler

Compiled 865 to 440 computations (49.1% saved)

series175.0ms (2.4%)

Memory

-8.1MiB live, 413.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1271	19620

Stop Event

1×	iter-limit

Counts

52 → 258

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ (* eps 1) (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x))))) (+.f64 eps (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)))))
#s(approx (+ (* eps 1) (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x))))) (+.f64 eps (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (+ (* eps 1) (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x))))) (+.f64 eps (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (+ (* eps 1) (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x))))) (+.f64 eps (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x)))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
#s(approx (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x)))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) -1/3)) eps) (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x)))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 3 binary64)) (.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
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#s(approx (* eps x) (*.f64 eps x))
#s(approx (* x (+ (* eps x) (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
#s(approx (* x (+ (* eps x) (pow eps 2))) (*.f64 x (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* eps x) (pow eps 2)) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (+ (* eps x) (pow eps 2)) (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))
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#s(approx (/ eps (pow (cos x) 2)) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ eps (pow (cos x) 2)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal 1/3 binary64) eps)))) (*.f64 #s(literal -1 binary64) eps)))))
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#s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
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#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
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#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (.f64 #s(literal -2 binary64) (.f64 x (sin.f64 eps))))))
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#s(approx (cos (+ (+ eps x) x)) (cos.f64 eps))
#s(approx (cos (+ (+ eps x) x)) (+.f64 (cos.f64 eps) (.f64 #s(literal -2 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (cos (+ (+ eps x) x)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -2 binary64) (.f64 x (cos.f64 eps))) (.f64 #s(literal 2 binary64) (sin.f64 eps))))))
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#s(approx (+ (+ eps x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))
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#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 (neg.f64 (.f64 #s(literal -1 binary64) eps))) (.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (neg.f64 (.f64 #s(literal -1 binary64) eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 (sin.f64 (neg.f64 (.f64 #s(literal -1 binary64) eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))
#s(approx (sin (- eps 0)) (sin.f64 (neg.f64 (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (cos (- 0 eps)) (cos.f64 (*.f64 #s(literal -1 binary64) eps)))
#s(approx (cos (+ (+ eps x) x)) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (+ eps x) x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
29.0ms	x	-inf
26.0ms	eps	inf
14.0ms	x	inf
11.0ms	eps	-inf
10.0ms	x	0

rewrite188.0ms (2.6%)

Memory

9.8MiB live, 352.1MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	1199
0	120	1128
1	400	966
2	2598	966
0	4587	907

Stop Event

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

Counts

52 → 902

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (tan.f64 x) #s(literal -1/3 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) eps (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(.f64 (+.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (tan.f64 x) #s(literal -1/3 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) eps (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) eps)
(.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal -1/6 binary64)) (tan.f64 x) (.f64 (.f64 (tan.f64 x) #s(literal -1/3 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) eps (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
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eps
#s(literal 0 binary64)
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(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 (-.f64 x #s(literal 0 binary64)) eps)
(+.f64 (+.f64 eps x) #s(literal 0 binary64))
(+.f64 eps (+.f64 #s(literal 0 binary64) x))
(+.f64 eps (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x eps)

eval242.0ms (3.4%)

Memory: -2.8MiB live, 557.6MiB allocated; 83ms collecting garbage
Compiler: Compiled 95 247 to 8 161 computations (91.4% saved)

prune34.0ms (0.5%)

Memory

21.7MiB live, 110.9MiB allocated; 11ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	1 121	13	1 134
Fresh	1	3	4
Picked	4	1	5
Done	0	1	1
Total	1 126	18	1 144

Accuracy

100.0%

Counts

1 144 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	100.0%	(.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 #s(approx (cos (- 0 eps)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64))
▶	100.0%	(.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) #s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 2 binary64))
	99.9%	(.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) #s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 2 binary64))
✓	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	98.8%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
	98.6%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps #s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	98.7%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(approx (/ eps (pow (cos x) 2)) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 eps x #s(literal 1 binary64))) eps))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (*.f64 eps (+.f64 eps x)) x eps)))
▶	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* 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))))) (+.f64 (.f64 (.f64 eps x) x) (fma.f64 (*.f64 eps eps) x eps))))
	6.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* 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))))) #s(approx (+ eps (* x (+ (* eps x) (pow eps 2)))) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
▶	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))

Compiler

Compiled 1 340 to 794 computations (40.7% saved)

series93.0ms (1.3%)

Memory

-3.1MiB live, 193.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1025	7812

Stop Event

1×	iter-limit

Counts

55 → 224

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) (.f64 #s(literal 4 binary64) (/.f64 (.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) (.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) (.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))))) (.f64 #s(literal -2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (.f64 #s(literal -2 binary64) (.f64 x (sin.f64 eps))))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (.f64 x (-.f64 (.f64 #s(literal -2 binary64) (.f64 x (cos.f64 eps))) (.f64 #s(literal 2 binary64) (sin.f64 eps)))))))
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#s(approx (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))))
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#s(approx (cos (* 2 x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))))
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#s(approx (* 2 x) (*.f64 #s(literal 2 binary64) x))
#s(approx x x)
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#s(approx (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (*.f64 #s(literal -1 binary64) eps))
#s(approx (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal -1 binary64) eps)))
#s(approx (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (fma.f64 #s(literal -1 binary64) eps (.f64 x (-.f64 (.f64 eps x) #s(literal 2 binary64)))))
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#s(approx (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (fma.f64 #s(literal -1 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
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#s(approx (* -1/2 (cos (* 2 x))) #s(literal -1/2 binary64))
#s(approx (* -1/2 (cos (* 2 x))) (-.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos (* 2 x))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
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#s(approx (sin (* 2 x)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (sin (* 2 x)) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/15 binary64) (.f64 #s(literal -8/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 4/3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
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#s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)
#s(approx (* 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))))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (* 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))))) (+.f64 eps (*.f64 x (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* 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))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (* eps x) x) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (* eps x) (*.f64 eps x))
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#s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
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#s(approx (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))) (*.f64 x (+.f64 eps x)))
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#s(approx (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (.f64 #s(literal -1/2 binary64) eps))))))
#s(approx (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (* x (- (* 5/6 eps) (* -1/2 eps))) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))
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#s(approx (sin (- (+ eps x) x)) (sin.f64 eps))
#s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps))
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
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#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 eps) (.f64 x (fma.f64 #s(literal 1/6 binary64) (sin.f64 eps) (.f64 #s(literal 1/2 binary64) (sin.f64 eps))))))))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 eps) (.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/6 binary64) (.f64 x (sin.f64 eps))))) (sin.f64 eps)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
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#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)))))
#s(approx (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 2 binary64) x)))))))
#s(approx (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 2 binary64) x))))))
#s(approx (cos (* 2 x)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))
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#s(approx (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))))
#s(approx (- (* -1/2 (cos (* 2 x))) 1/2) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))
#s(approx (* -1/2 (cos (* 2 x))) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (sin (* 2 x)) (sin.f64 (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
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#s(approx (+ (* (* eps x) x) (+ (* (* eps eps) x) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
#s(approx (+ (* (* eps x) x) (+ (* (* eps eps) x) eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (+.f64 (/.f64 eps (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(approx (+ (* (* eps eps) x) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
#s(approx (+ (* (* eps eps) x) eps) (*.f64 x (+.f64 (/.f64 eps x) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (+ 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)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 5/6 binary64) eps (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 5/6 binary64) eps (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal 5/6 binary64) eps (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 5/6 binary64) eps (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 5/6 binary64) eps (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))) (.f64 x (-.f64 (fma.f64 #s(literal 5/6 binary64) eps (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 eps x)))
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (cos x) (cos.f64 x))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (.f64 #s(literal -2 binary64) x)))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -2 binary64) x))))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 (neg.f64 eps)) (cos.f64 (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ (* (* eps x) x) (+ (* (* eps eps) x) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)))))
#s(approx (+ (* (* eps eps) x) eps) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 5/6 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 5/6 binary64) eps) (.f64 #s(literal -1/2 binary64) eps)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) eps) (/.f64 #s(literal 1 binary64) x)) x))) x))))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)) x) (.f64 #s(literal 5/6 binary64) eps)) (.f64 #s(literal -1/2 binary64) eps))))
#s(approx (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x))))))
#s(approx (* (cos (+ eps x)) (cos x)) (.f64 (cos.f64 x) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (.f64 #s(literal 2 binary64) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 eps (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (.f64 eps (fma.f64 eps (fma.f64 #s(literal 2 binary64) (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))
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#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (/.f64 (.f64 eps (sin.f64 (.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (.f64 eps (fma.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (.f64 eps (fma.f64 eps (-.f64 (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))
#s(approx (sin (- eps 0)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (- eps 0)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin (- eps 0)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 2 binary64) x)))))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (-.f64 (.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 1/2 binary64))) (sin.f64 (.f64 #s(literal 2 binary64) x)))))))
#s(approx (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))))))))
#s(approx (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (.f64 #s(literal 2 binary64) x))))))
#s(approx (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)))))))
#s(approx (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x)))))
#s(approx (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.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))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (+ (* (* eps x) x) (+ (* (* eps eps) x) eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ (* (* eps x) x) (+ (* (* eps eps) x) eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 eps x (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* (* eps eps) x) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 eps x))))
#s(approx (* eps eps) (pow.f64 eps #s(literal 2 binary64)))
#s(approx (- (+ 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)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (+.f64 #s(literal 1 binary64) (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))) (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (+.f64 x (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))) (+.f64 x (.f64 #s(literal 4/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))
#s(approx (* x (- (* 5/6 eps) (* -1/2 eps))) (.f64 #s(literal 4/3 binary64) (.f64 eps x)))
#s(approx (- (* 5/6 eps) (* -1/2 eps)) (*.f64 #s(literal 4/3 binary64) eps))
#s(approx (* 5/6 eps) (*.f64 #s(literal 5/6 binary64) eps))
#s(approx (* -1/2 eps) (*.f64 #s(literal -1/2 binary64) eps))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 eps (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (.f64 eps (fma.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (.f64 eps (fma.f64 eps (-.f64 (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow eps 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (* (cos (+ eps x)) (cos x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 #s(literal -1 binary64) (.f64 eps (.f64 (cos.f64 x) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 x) (sin.f64 x)) (.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))))
#s(approx (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))))
#s(approx (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) eps)))))
#s(approx (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 eps #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) eps)))))
#s(approx (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))))
#s(approx (* 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))))) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))
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#s(approx (+ (* (* eps x) x) (+ (* (* eps eps) x) eps)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
#s(approx (+ (* (* eps eps) x) eps) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) eps))))
#s(approx (- (+ 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)))) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))
#s(approx (- (+ 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)))) (.f64 eps (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 eps (fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
#s(approx (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))) (.f64 eps (fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps)))))
#s(approx (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))) (.f64 #s(literal 4/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))) (*.f64 eps (fma.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64)) (/.f64 x eps))))
#s(approx (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))) (*.f64 eps (fma.f64 #s(literal 4/3 binary64) x (/.f64 #s(literal 1 binary64) eps))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (neg.f64 (.f64 #s(literal -1 binary64) eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))))
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 (sin.f64 (neg.f64 (.f64 #s(literal -1 binary64) eps))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal -1 binary64) eps))))))
#s(approx (sin (- eps 0)) (sin.f64 (neg.f64 (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 (.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ 1 (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) eps))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))))
#s(approx (+ (cos (* 2 x)) (* eps (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) eps))) eps) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) #s(literal 1/2 binary64))))
#s(approx (- (* eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (-.f64 (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ (* (* eps x) x) (+ (* (* eps eps) x) eps)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) eps)))))
#s(approx (- (+ 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)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 x (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))))
#s(approx (+ 1 (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) eps) (.f64 x (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (* x (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) (.f64 x (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ eps (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 x eps))) #s(literal 1 binary64)))))
#s(approx (* x (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps))))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))))
#s(approx (+ 1 (* x (- (* 5/6 eps) (* -1/2 eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -4/3 binary64) x) (/.f64 #s(literal 1 binary64) eps)))))
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 (neg.f64 (.f64 #s(literal -1 binary64) eps))) (.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (* eps (+ 1 (* -1/6 (pow eps 2)))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (* (cos (+ eps x)) (cos x)) (.f64 (cos.f64 x) (cos.f64 (-.f64 x (.f64 #s(literal -1 binary64) eps)))))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ eps x) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
11.0ms	eps	-inf
10.0ms	eps	0
8.0ms	eps	inf
8.0ms	x	inf
8.0ms	x	-inf

rewrite135.0ms (1.9%)

Memory

-12.4MiB live, 222.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	826
0	121	758
1	394	618
2	2310	618
0	4507	562

Stop Event

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

Counts

55 → 640

Calls

Call 1

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

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

eval141.0ms (2%)

Memory: 27.3MiB live, 267.0MiB allocated; 46ms collecting garbage
Compiler: Compiled 42 598 to 5 355 computations (87.4% saved)

prune42.0ms (0.6%)

Memory

-19.1MiB live, 71.9MiB allocated; 11ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	804	8	812
Fresh	3	8	11
Picked	3	2	5
Done	0	2	2
Total	810	20	830

Accuracy

100.0%

Counts

830 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (fma.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/6 binary64) eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x eps))) (cos.f64 x)))
	100.0%	(/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 eps) x) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)))
✓	61.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.9%	(.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) #s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) (.f64 eps #s(approx (- ( eps (- (* -1/2 (cos (* 2 x))) 1/2)) (sin (* 2 x))) (.f64 #s(literal -1 binary64) (sin.f64 (.f64 #s(literal 2 binary64) x))))))))) #s(literal 2 binary64))
	100.0%	(.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64)) eps)) (+.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
✓	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	98.8%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
	99.4%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
	98.6%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps #s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
	98.7%	#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) #s(approx (/ eps (pow (cos x) 2)) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps) x #s(literal 1 binary64))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 eps x #s(literal 1 binary64))) eps))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 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)))) (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4/3 binary64) eps) x #s(literal 1 binary64)) x eps) x) #s(literal -1 binary64)))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (*.f64 x eps) (+.f64 x eps) eps)))
✓	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* 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))))) (+.f64 (.f64 (.f64 eps x) x) (fma.f64 (*.f64 eps eps) x eps))))
	6.3%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* 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))))) #s(approx (+ eps (* x (+ (* eps x) (pow eps 2)))) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
✓	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))

Compiler

Compiled 764 to 453 computations (40.7% saved)

regimes280.0ms (3.9%)

Memory

-2.5MiB live, 565.8MiB allocated; 65ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

14 → 1

15 → 1

16 → 1

21 → 1

37 → 1

42 → 1

44 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))

Call 2

Inputs

#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))

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

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 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)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))

Outputs

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

Call 3

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

Outputs

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

Call 4

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

Outputs

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

Call 5

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

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

Call 6

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

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

Call 7

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

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

Call 8

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

Outputs

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

Call 9

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

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(literal 1 binary64) (*.f64 eps (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (tan.f64 x) (*.f64 (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (tan.f64 x) (tan.f64 x)))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)))) eps (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (*.f64 (tan.f64 x) (tan.f64 x))))))

Calls

27 calls:

45.0ms	x
29.0ms	eps
22.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
17.0ms	eps
16.0ms	x

Results

Accuracy	Segments	Branch
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.4%	1	`eps`
98.4%	1	`x`
98.4%	1	`x`
98.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.4%	1	`eps`
98.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.7%	1	`eps`
98.7%	1	`x`
98.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.8%	1	`x`
98.8%	1	`eps`
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
99.4%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.4%	1	`x`
99.4%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
100.0%	1	`x`
100.0%	1	`eps`

Compiler

Compiled 1 918 to 433 computations (77.4% saved)

derivations219.0ms (3%)

Memory

12.6MiB live, 267.5MiB allocated; 116ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 406 to 111 computations (72.7% saved)

preprocess89.0ms (1.2%)

Memory: -15.2MiB live, 228.3MiB allocated; 25ms collecting garbage
Compiler: Compiled 448 to 141 computations (68.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze37.0ms (0.5%)

sample4.4s (61.1%)

preprocess43.0ms (0.6%)

series28.0ms (0.4%)

rewrite93.0ms (1.3%)

eval13.0ms (0.2%)

prune12.0ms (0.2%)

series188.0ms (2.6%)

rewrite259.0ms (3.6%)

eval450.0ms (6.2%)

prune41.0ms (0.6%)

series175.0ms (2.4%)

rewrite188.0ms (2.6%)

eval242.0ms (3.4%)

prune34.0ms (0.5%)

series93.0ms (1.3%)

rewrite135.0ms (1.9%)

eval141.0ms (2%)

prune42.0ms (0.6%)

regimes280.0ms (3.9%)

derivations219.0ms (3%)

preprocess89.0ms (1.2%)

end0.0ms (0%)

Profiling