Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze37.0ms (0.4%)

Memory

-4.4MiB live, 39.9MiB allocated; 10ms 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)

sample5.1s (53.5%)

Memory

-216.0MiB live, 5 263.1MiB allocated; 2.2s collecting garbage

Samples

2.0s	25 781×	0	invalid
1.4s	5 580×	1	valid
331.0ms	2 676×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-tan: 1.4s (51.8% of total)

ival-fabs: 358.0ms (13.7% of total)

adjust: 209.0ms (8% of total)

ival-mult!: 192.0ms (7.3% of total)

ival-<: 173.0ms (6.6% of total)

ival-add!: 136.0ms (5.2% of total)

ival-sub!: 122.0ms (4.7% of total)

ival-and: 60.0ms (2.3% of total)

ival-assert: 13.0ms (0.5% of total)

Bogosity

preprocess86.0ms (0.9%)

Memory

-9.8MiB live, 45.9MiB allocated; 12ms 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
▶	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series21.0ms (0.2%)

Memory

37.4MiB live, 37.4MiB allocated; 0ms 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	Expression
2.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	x	@	0	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))
2.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) x eps (tan x))

rewrite290.0ms (3.1%)

Memory

-18.3MiB live, 331.2MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	66	18
2	272	18
3	1728	18
0	8049	18

Stop Event

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

Counts

6 → 124

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

eval57.0ms (0.6%)

Memory: 3.4MiB live, 55.5MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 907 to 639 computations (66.5% saved)

prune17.0ms (0.2%)

Memory

-4.2MiB live, 41.5MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	131	20	151
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	21	152

Accuracy

99.9%

Counts

152 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
	36.6%	(/.f64 (-.f64 (.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
	8.4%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) (+.f64 (PI.f64) x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
	63.5%	(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
	64.0%	(-.f64 (/.f64 (+.f64 (tan.f64 x) (tan.f64 eps)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 eps)))) (tan.f64 x))
	63.4%	(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
	8.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
▶	8.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	61.6%	(-.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)))))))
	7.2%	(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x))
	62.9%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (tan.f64 (+.f64 eps x)))
▶	62.7%	(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
▶	63.5%	(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	97.0%	#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))))
	96.7%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	99.4%	#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)))))))
▶	99.9%	#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)))))))
	99.8%	#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)))))))
	98.4%	#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 884 to 580 computations (34.4% saved)

series337.0ms (3.6%)

Memory

-18.7MiB live, 511.1MiB allocated; 94ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1441	31266

Stop Event

1×	iter-limit

Counts

63 → 297

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)))))))
(.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))))))
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)))))
(+.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))))))
#s(literal 1 binary64)
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x
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(+.f64 (PI.f64) x)
(PI.f64)
(.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(cos.f64 (+.f64 eps x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 eps x))
(neg.f64 (tan.f64 x))
(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))))
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#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 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 (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 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 (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 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 (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
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#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))))
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#s(approx (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
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#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/315 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/15 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64))))
#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 (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 (+ 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))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 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))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (PI.f64)))) (.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))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (PI.f64))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (PI.f64)) #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 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 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))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))))
#s(approx (tan (+ (PI) x)) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))
#s(approx (tan (+ (PI) x)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))))
#s(approx (tan (+ (PI) x)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))))) (cos.f64 (PI.f64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))))
#s(approx (tan (+ (PI) x)) (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 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (PI.f64)) #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 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (PI.f64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.f64 x (PI.f64)))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 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 (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.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 (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 eps) (.f64 #s(literal 1/2 binary64) (sin.f64 eps)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 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 (sin (- (+ eps x) x)) (sin.f64 eps))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (+.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) (/.f64 (*.f64 x (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (fma.f64 x (-.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 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 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.f64 eps))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (fma.f64 x (-.f64 (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal 1 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 3 binary64)))))) (cos.f64 eps)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) (/.f64 #s(literal 1 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 3 binary64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (cos.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)))))
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 eps)))))))
#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)))))
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#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (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))) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64))))))
#s(approx (- (tan (+ x eps)) (tan (+ (PI) x))) (-.f64 (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))) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64))))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (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)) (/ 1 (* (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)) (/ 1 (* (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 (sin (- (+ eps x) x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin (- (+ eps x) x)) (.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 x) x)) (.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 (/ 1 (* (cos (+ eps x)) (cos x))) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (/ 1 (* (cos (+ eps x)) (cos x))) (+.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 (/ 1 (* (cos (+ eps x)) (cos x))) (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)))) (.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 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 (* (cos (+ eps x)) (cos x))) (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)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 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))))) (.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 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 (* (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))))
#s(approx (* (cos (+ eps x)) (cos x)) (fma.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 x) (sin.f64 x)) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 eps (*.f64 (cos.f64 x) (sin.f64 x))))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#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 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (.f64 (cos.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))))
#s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (/.f64 (.f64 (cos.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))))))
#s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (cos.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)) (.f64 eps (fma.f64 #s(literal -1 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 (.f64 eps (.f64 (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))))))))) (sin.f64 x)))))))
#s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (cos.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)) (.f64 eps (fma.f64 #s(literal -1 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 eps (+.f64 (/.f64 (.f64 eps (.f64 (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)))))) (sin.f64 x)) (/.f64 (.f64 (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)))))))) (sin.f64 x)))))))))
#s(approx (/ (tan (+ eps x)) (neg (tan x))) #s(literal -1 binary64))
#s(approx (/ (tan (+ eps x)) (neg (tan x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 eps (.f64 (cos.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))) #s(literal 1 binary64)))
#s(approx (/ (tan (+ eps x)) (neg (tan x))) (-.f64 (.f64 eps (fma.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (/.f64 (.f64 (cos.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))))) #s(literal 1 binary64)))
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Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	inf	((- (tan (+ x eps)) (tan x)) (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))))) (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))) -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x) x (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) 2 (pow (cos x) 2) (cos x) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) 1/6 (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)) (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2)) (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ x eps) (tan x) (* x (+ 1 (* 1/3 (pow x 2)))) (+ 1 (* 1/3 (pow x 2))) (* 1/3 (pow x 2)) 1/3 (pow x 2) (- (tan (+ x eps)) (tan (+ (PI) x))) (tan (+ (PI) x)) (+ (PI) x) (PI) (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (sin (- (+ eps x) x)) (- (+ eps x) x) (+ eps x) (/ 1 (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (cos (+ eps x)) (* (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (neg (tan x))) (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (/ (tan (+ eps x)) (neg (tan x))) (tan (+ eps x)) (neg (tan x)) (tan x))
34.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))))) (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))) -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x) x (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (/ (pow (sin x) 2) (pow (cos x) 2)) (pow (sin x) 2) 2 (pow (cos x) 2) (cos x) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x))) 1/6 (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)) (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin 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24.0ms	eps	@	-inf	((- (tan (+ x eps)) (tan x)) (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin 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rewrite464.0ms (4.9%)

Memory

31.7MiB live, 632.1MiB allocated; 83ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	2447
0	125	2323
1	700	1388
2	3494	1388
0	8039	1279

Stop Event

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

Counts

63 → 1 370

Calls

Call 1

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

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

eval592.0ms (6.3%)

Memory: 31.8MiB live, 819.5MiB allocated; 242ms collecting garbage
Compiler: Compiled 106 270 to 18 659 computations (82.4% saved)

prune69.0ms (0.7%)

Memory

-30.5MiB live, 92.7MiB allocated; 41ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1 526	16	1 542
Fresh	13	2	15
Picked	4	1	5
Done	0	1	1
Total	1 543	20	1 563

Accuracy

100.0%

Counts

1 563 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
▶	8.2%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
	8.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	8.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	37.8%	(.f64 (sin.f64 (/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 eps #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	99.3%	(.f64 #s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (cos.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)) (.f64 eps (fma.f64 #s(literal -1 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 (.f64 eps (.f64 (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))))))))) (sin.f64 x))))))) (neg.f64 (tan.f64 x)))
▶	98.8%	(.f64 #s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.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 #s(literal -1 binary64) (/.f64 (.f64 (cos.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)))))) (neg.f64 (tan.f64 x)))
	99.7%	(.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 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
▶	99.9%	#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 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.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 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.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))))))
	99.9%	#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 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.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 (.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (.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))
	99.4%	#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)))))))
	96.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
▶	96.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
	97.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 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))))))))))
	99.7%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
	98.4%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (cos (+ eps x)) (cos x)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.9%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (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))))))
	99.8%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (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))))))
	99.3%	#s(approx (* (sin (- (+ eps x) x)) (/ 1 (* (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))))))

Compiler

Compiled 1 964 to 1 082 computations (44.9% saved)

series273.0ms (2.9%)

Memory

30.3MiB live, 307.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1646	30337

Stop Event

1×	iter-limit

Counts

63 → 314

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

6 calls:

Time	Variable		Point	Expression
60.0ms	eps	@	inf	((- (tan (+ x eps)) (tan x)) (+ (* eps 1) (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x))))) eps 1 (* eps (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (* (tan x) (tan x)))) (+ (* (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) 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rewrite374.0ms (4%)

Memory

9.3MiB live, 430.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1853
0	170	1727
1	1023	1244
2	5605	1244
0	9192	1178

Stop Event

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

Counts

63 → 1 448

Calls

Call 1

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

eval480.0ms (5.1%)

Memory: -33.0MiB live, 968.2MiB allocated; 284ms collecting garbage
Compiler: Compiled 75 816 to 13 991 computations (81.5% saved)

prune49.0ms (0.5%)

Memory

38.0MiB live, 176.9MiB allocated; 8ms collecting garbage

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 686	21	1 707
Fresh	11	2	13
Picked	4	1	5
Done	1	1	2
Total	1 702	25	1 727

Accuracy

100.0%

Counts

1 727 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (cos.f64 (+.f64 eps x)))
	99.6%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 eps x)))
▶	100.0%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 x) (sin.f64 eps))))
	99.6%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))))
	99.6%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
	99.8%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.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))))))
	99.4%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) #s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))))
	99.7%	(/.f64 (/.f64 #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)))))) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
▶	99.7%	(/.f64 (sin.f64 eps) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
▶	99.3%	(/.f64 #s(approx (/ (sin (- eps 0)) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 eps x)))
✓	8.2%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
	8.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	98.8%	(.f64 #s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 eps (fma.f64 #s(literal -1 binary64) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (cos.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)))))) (neg.f64 (tan.f64 x)))
	96.4%	(.f64 #s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) (.f64 eps #s(approx (+ (* -1 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x)))) (/.f64 (-.f64 (.f64 x (fma.f64 #s(literal -1 binary64) eps (.f64 #s(literal -2/3 binary64) x))) #s(literal 1 binary64)) x)))) (neg.f64 (tan.f64 x)))
	96.3%	(.f64 #s(approx (+ 1 (/ (tan (+ eps x)) (neg (tan x)))) #s(approx ( eps (+ (* -1 (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (* -1 (/ (* (cos x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (sin x))))) (*.f64 #s(literal -1 binary64) (/.f64 eps x)))) (neg.f64 (tan.f64 x)))
	99.7%	(.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 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	98.4%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
▶	99.3%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps 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))))))
	99.9%	#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))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(literal 1 binary64) (.f64 eps (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) (-.f64 (/.f64 (.f64 (pow.f64 (sin.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))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 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 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 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))))))
	99.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(literal 1 binary64) (.f64 eps (fma.f64 (fma.f64 #s(approx (neg (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6))) #s(literal 1/3 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))))))
	97.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps #s(literal 1 binary64) (.f64 eps #s(approx (+ ( (+ (* (neg (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
▶	96.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))
	47.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ 1 (* 1/3 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))

Compiler

Compiled 1 934 to 1 187 computations (38.6% saved)

series101.0ms (1.1%)

Memory

-28.2MiB live, 305.5MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	899	12699

Stop Event

1×	iter-limit

Counts

38 → 156

Calls

Call 1

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

Outputs
#s(approx (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (+.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 (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (fma.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 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 (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (fma.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 (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (cos.f64 eps)) (/.f64 (.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 eps) (.f64 #s(literal 1/2 binary64) (sin.f64 eps)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 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 (/ (sin (- eps 0)) (cos x)) (sin.f64 eps))
#s(approx (/ (sin (- eps 0)) (cos x)) (+.f64 (sin.f64 eps) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)))))
#s(approx (/ (sin (- eps 0)) (cos x)) (+.f64 (sin.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 -1/4 binary64) (sin.f64 eps) (.f64 #s(literal 1/24 binary64) (sin.f64 eps))))) (*.f64 #s(literal -1/2 binary64) (sin.f64 eps))))))
#s(approx (/ (sin (- eps 0)) (cos x)) (+.f64 (sin.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.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 -1/720 binary64) (sin.f64 eps) (fma.f64 #s(literal 1/48 binary64) (sin.f64 eps) (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) (sin.f64 eps) (.f64 #s(literal 1/24 binary64) (sin.f64 eps)))))))) (fma.f64 #s(literal -1/4 binary64) (sin.f64 eps) (.f64 #s(literal 1/24 binary64) (sin.f64 eps))))) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))))))
#s(approx (cos x) #s(literal 1 binary64))
#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)))))
#s(approx x x)
#s(approx (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (cos.f64 eps))
#s(approx (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (+.f64 (cos.f64 eps) (.f64 #s(literal -1 binary64) (.f64 x (sin.f64 eps)))))
#s(approx (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (+.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) (cos x)) (* (sin x) (sin eps))) (+.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 eps) (cos x)) (+.f64 (cos.f64 eps) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)))))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)) (.f64 #s(literal 1/24 binary64) (cos.f64 eps))))))))
#s(approx (* (sin x) (sin eps)) (*.f64 x (sin.f64 eps)))
#s(approx (* (sin x) (sin eps)) (.f64 x (+.f64 (sin.f64 eps) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))))
#s(approx (* (sin x) (sin eps)) (.f64 x (+.f64 (sin.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 eps) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))))))
#s(approx (* (sin x) (sin eps)) (.f64 x (+.f64 (sin.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (*.f64 #s(literal 1/120 binary64) (sin.f64 eps)))))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 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 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 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 (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 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 (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 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 (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 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 (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))))
#s(approx (/ eps (cos x)) eps)
#s(approx (/ eps (cos x)) (+.f64 eps (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ eps (cos x)) (+.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 -1/4 binary64) eps (.f64 #s(literal 1/24 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (/ eps (cos x)) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.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 -1/720 binary64) eps (fma.f64 #s(literal 1/48 binary64) eps (.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/24 binary64) eps))))))) (fma.f64 #s(literal -1/4 binary64) eps (.f64 #s(literal 1/24 binary64) eps)))) (.f64 #s(literal -1/2 binary64) eps)))))
#s(approx (+ eps x) (+.f64 eps x))
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 eps)))))))
#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 (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+.f64 eps (*.f64 x (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64))))))
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#s(approx (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
#s(approx (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))
#s(approx (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal -3/2 binary64) eps)))))))))
#s(approx (/ 1 (pow (cos x) 2)) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ 1 (pow (cos x) 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 1 (pow (cos x) 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#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)))))
#s(approx (pow (cos x) 2) (+.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 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (/ (* eps (sin x)) (pow (cos x) 3)) (*.f64 eps x))
#s(approx (/ (* eps (sin x)) (pow (cos x) 3)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal -3/2 binary64) eps))))))
#s(approx (/ (* eps (sin x)) (pow (cos x) 3)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/120 binary64) eps) (fma.f64 #s(literal -3/2 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal -3/2 binary64) eps)) (.f64 #s(literal 7/8 binary64) eps))))) (.f64 #s(literal -3/2 binary64) eps))))))
#s(approx (/ (* eps (sin x)) (pow (cos x) 3)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/5040 binary64) eps) (fma.f64 #s(literal -3/2 binary64) (-.f64 (.f64 #s(literal 1/120 binary64) eps) (fma.f64 #s(literal -3/2 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal -3/2 binary64) eps)) (.f64 #s(literal 7/8 binary64) eps))) (fma.f64 #s(literal -61/240 binary64) eps (.f64 #s(literal 7/8 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal -3/2 binary64) eps)))))))) (fma.f64 #s(literal -3/2 binary64) (-.f64 (.f64 #s(literal -1/6 binary64) eps) (.f64 #s(literal -3/2 binary64) eps)) (.f64 #s(literal 7/8 binary64) eps))))) (.f64 #s(literal -3/2 binary64) eps))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 #s(literal 1/120 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* eps (sin x)) (.f64 x (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) eps))))))))
#s(approx (pow (cos x) 3) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (pow (cos x) 3) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 7/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/2 binary64)))))
#s(approx (pow (cos x) 3) (+.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 7/8 binary64) (*.f64 #s(literal -61/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3/2 binary64)))))
#s(approx (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
#s(approx (/ (sin (- eps 0)) (cos x)) (/.f64 (sin.f64 eps) (cos.f64 x)))
#s(approx (cos x) (cos.f64 x))
#s(approx (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))))
#s(approx (* (cos eps) (cos x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
#s(approx (* (sin x) (sin eps)) (*.f64 (sin.f64 eps) (sin.f64 x)))
#s(approx (sin x) (sin.f64 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 (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))))
#s(approx (/ eps (cos x)) (/.f64 eps (cos.f64 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 (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))
#s(approx (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (.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 (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (+.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 (/ 1 (pow (cos x) 2)) (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
#s(approx (pow (cos x) 2) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (/ (* eps (sin x)) (pow (cos x) 3)) (/.f64 (*.f64 eps (sin.f64 x)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
#s(approx (* eps (sin x)) (*.f64 eps (sin.f64 x)))
#s(approx (pow (cos x) 3) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
#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 (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps 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.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 (* (cos (+ eps x)) (cos x)) (.f64 (cos.f64 x) (cos.f64 (-.f64 eps (.f64 #s(literal -1 binary64) x)))))
#s(approx (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
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#s(approx (/ (sin (- eps 0)) (cos x)) (.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (cos.f64 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 eps) (cos x)) (* (sin x) (sin eps))) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x)))))
#s(approx (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (+.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) (cos x)) (* (sin x) (sin eps))) (+.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 (* (cos eps) (cos x)) (+.f64 (cos.f64 x) (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))))
#s(approx (* (cos eps) (cos x)) (+.f64 (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (.f64 #s(literal 1/24 binary64) (cos.f64 x))))))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos 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 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* (sin x) (sin eps)) (.f64 eps (+.f64 (sin.f64 x) (.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))))
#s(approx (* (sin x) (sin eps)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 #s(literal 1/120 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))))))))
#s(approx (* (sin x) (sin eps)) (.f64 eps (+.f64 (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 x) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 #s(literal 1/120 binary64) (sin.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)))))))
#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)))))))
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#s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (fma.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 (.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 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (fma.f64 eps (fma.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 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))))))))) (/.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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#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.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 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (fma.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 (.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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#s(approx (* eps eps) (pow.f64 eps #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))))
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Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/ (sin (- eps 0)) (cos x)) (sin (- eps 0)) (- eps 0) eps 0 (cos x) x (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (* (cos eps) (cos x)) (cos eps) (* (sin x) (sin eps)) (sin x) (sin eps) (- (tan (+ x eps)) (tan x)) (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 1 (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (/ (sin (- eps 0)) (cos x)) (/ eps (cos x)) (cos (+ eps x)) (+ eps x) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (/ 1 (pow (cos x) 2)) (pow (cos x) 2) 2 (/ (* eps (sin x)) (pow (cos x) 3)) (* eps (sin x)) (pow (cos x) 3) 3)
11.0ms	eps	@	-inf	((/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/ (sin (- eps 0)) (cos x)) (sin (- eps 0)) (- eps 0) eps 0 (cos x) x (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (* (cos eps) (cos x)) (cos eps) (* (sin x) (sin eps)) (sin x) (sin eps) (- (tan (+ x eps)) (tan x)) (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 1 (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (/ (sin (- eps 0)) (cos x)) (/ eps (cos x)) (cos (+ eps x)) (+ eps x) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (/ 1 (pow (cos x) 2)) (pow (cos x) 2) 2 (/ (* eps (sin x)) (pow (cos x) 3)) (* eps (sin x)) (pow (cos x) 3) 3)
11.0ms	x	@	inf	((/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/ (sin (- eps 0)) (cos x)) (sin (- eps 0)) (- eps 0) eps 0 (cos x) x (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (* (cos eps) (cos x)) (cos eps) (* (sin x) (sin eps)) (sin x) (sin eps) (- (tan (+ x eps)) (tan x)) (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 1 (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (/ (sin (- eps 0)) (cos x)) (/ eps (cos x)) (cos (+ eps x)) (+ eps x) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (/ 1 (pow (cos x) 2)) (pow (cos x) 2) 2 (/ (* eps (sin x)) (pow (cos x) 3)) (* eps (sin x)) (pow (cos x) 3) 3)
10.0ms	eps	@	0	((/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/ (sin (- eps 0)) (cos x)) (sin (- eps 0)) (- eps 0) eps 0 (cos x) x (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (* (cos eps) (cos x)) (cos eps) (* (sin x) (sin eps)) (sin x) (sin eps) (- (tan (+ x eps)) (tan x)) (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 1 (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (/ (sin (- eps 0)) (cos x)) (/ eps (cos x)) (cos (+ eps x)) (+ eps x) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (/ 1 (pow (cos x) 2)) (pow (cos x) 2) 2 (/ (* eps (sin x)) (pow (cos x) 3)) (* eps (sin x)) (pow (cos x) 3) 3)
8.0ms	eps	@	inf	((/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/ (sin (- eps 0)) (cos x)) (sin (- eps 0)) (- eps 0) eps 0 (cos x) x (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (* (cos eps) (cos x)) (cos eps) (* (sin x) (sin eps)) (sin x) (sin eps) (- (tan (+ x eps)) (tan x)) (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+ (* (* eps eps) 1/3) 1) (* eps eps) 1/3 1 (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (/ (sin (- eps 0)) (cos x)) (/ eps (cos x)) (cos (+ eps x)) (+ eps x) (/ (sin eps) (* (cos (+ eps x)) (cos x))) (* (cos (+ eps x)) (cos x)) (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3))) (/ 1 (pow (cos x) 2)) (pow (cos x) 2) 2 (/ (* eps (sin x)) (pow (cos x) 3)) (* eps (sin x)) (pow (cos x) 3) 3)

rewrite289.0ms (3.1%)

Memory

14.8MiB live, 486.6MiB allocated; 76ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	875
0	118	803
1	691	551
2	4007	551
0	8003	509

Stop Event

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

Counts

38 → 817

Calls

Call 1

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

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

eval134.0ms (1.4%)

Memory: 42.7MiB live, 323.0MiB allocated; 33ms collecting garbage
Compiler: Compiled 20 571 to 5 619 computations (72.7% saved)

prune86.0ms (0.9%)

Memory

-43.7MiB live, 156.8MiB allocated; 43ms collecting garbage

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	934	22	956
Fresh	13	5	18
Picked	3	2	5
Done	0	2	2
Total	950	31	981

Accuracy

100.0%

Counts

981 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 eps x)))
	100.0%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (-.f64 (.f64 (+.f64 (cos.f64 (-.f64 eps x)) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64)) (.f64 (sin.f64 x) (sin.f64 eps))))
	99.9%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (-.f64 (.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))
	99.6%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x eps))))
	99.6%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
	99.8%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) #s(approx (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (+.f64 (cos.f64 x) (.f64 eps (-.f64 (.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))))
	99.4%	(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 x)) #s(approx (- (* (cos eps) (cos x)) (* (sin x) (sin eps))) (+.f64 (cos.f64 x) (.f64 #s(literal -1 binary64) (.f64 eps (sin.f64 x))))))
	99.7%	(/.f64 (/.f64 #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)))))) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
	99.6%	(/.f64 (sin.f64 eps) (.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 (neg.f64 x) (.f64 (PI.f64) #s(literal 1/2 binary64))))))
	99.9%	(/.f64 (sin.f64 eps) #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)))))
	99.5%	(/.f64 (sin.f64 eps) #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)))))
	99.3%	(/.f64 #s(approx (/ (sin (- eps 0)) (cos x)) (/.f64 eps (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (cos.f64 (+.f64 eps x)))
	99.3%	(/.f64 #s(approx (/ (sin (- eps 0)) (cos x)) (/.f64 eps (sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (cos.f64 (+.f64 eps x)))
✓	99.3%	(/.f64 #s(approx (/ (sin (- eps 0)) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 eps x)))
	96.5%	(/.f64 #s(approx (/ (sin (- eps 0)) (cos x)) #s(approx (/ eps (cos x)) eps)) (cos.f64 (+.f64 eps x)))
✓	8.2%	(-.f64 (tan.f64 (+.f64 (+.f64 eps x) (PI.f64))) (tan.f64 (+.f64 (PI.f64) x)))
	8.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
✓	63.5%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) #s(approx (/ (sin (- eps 0)) (cos x)) (/.f64 eps (cos.f64 x))))
	99.7%	(.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 #s(literal 1 binary64) (.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
	100.0%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/.f64 (sin.f64 eps) (.f64 (cos.f64 x) (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))
	98.4%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.3%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (.f64 (fma.f64 (/.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (tan.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)))))) eps))
	98.2%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(approx (/ ( eps (sin x)) (pow (cos x) 3)) (*.f64 eps x)))))
	99.4%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (.f64 eps (.f64 (fma.f64 (sin.f64 x) eps (pow.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (cos.f64 x) #s(literal -3 binary64)))))
	96.9%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (.f64 eps #s(approx (+ (/ 1 (pow (cos x) 2)) (/ ( eps (sin x)) (pow (cos x) 3))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal -3/2 binary64) eps)))))))))))
	96.9%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (.f64 eps #s(approx (+ (/ 1 (pow (cos x) 2)) (/ ( eps (sin x)) (pow (cos x) 3))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
	96.6%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) (.f64 eps #s(approx (+ (/ 1 (pow (cos x) 2)) (/ ( eps (sin x)) (pow (cos x) 3))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
	96.9%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) #s(approx (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal -3/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
	97.0%	#s(approx (/ (/ (sin (- eps 0)) (cos x)) (cos (+ eps x))) #s(approx (* eps (+ (/ 1 (pow (cos x) 2)) (/ (* eps (sin x)) (pow (cos x) 3)))) (+.f64 eps (*.f64 x (fma.f64 eps x (pow.f64 eps #s(literal 2 binary64)))))))
✓	96.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (- (+ 1 ( eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps))

Compiler

Compiled 2 786 to 1 203 computations (56.8% saved)

regimes59.0ms (0.6%)

Memory

18.1MiB live, 163.7MiB allocated; 6ms collecting garbage

Counts

80 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	x
18.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
18.0ms	eps

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes50.0ms (0.5%)

Memory

-13.0MiB live, 134.6MiB allocated; 6ms collecting garbage

Counts

65 → 1

Calls

Call 1

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

Outputs

#s(approx (/ (/ (sin (- eps 0)) (cos x)) (- (* (cos eps) (cos x)) (* (sin x) (sin eps)))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))))

Calls

3 calls:

17.0ms	x
15.0ms	eps
15.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes45.0ms (0.5%)

Memory

15.6MiB live, 106.9MiB allocated; 3ms collecting garbage

Counts

62 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

15.0ms	eps
14.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
13.0ms	x

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes46.0ms (0.5%)

Memory

12.4MiB live, 111.4MiB allocated; 5ms collecting garbage

Counts

60 → 1

Calls

Call 1

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

Outputs

(/.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.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))))))

Calls

3 calls:

15.0ms	eps
15.0ms	x
13.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes41.0ms (0.4%)

Memory

-28.8MiB live, 64.1MiB allocated; 2ms collecting garbage

Counts

57 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

14.0ms	eps
13.0ms	x
12.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes22.0ms (0.2%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	eps
7.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
7.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.2%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.2%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs
(/.f64 #s(approx (/ (sin (- eps 0)) (cos x)) (/.f64 eps (cos.f64 x))) (cos.f64 (+.f64 eps x)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes14.0ms (0.2%)

Memory

-38.4MiB live, 9.0MiB allocated; 1ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.0%	1	`x`
97.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes5.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
96.9%	1	`x`
96.9%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes4.0ms (0%)

Memory

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

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
96.7%	1	`x`
96.7%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.6%	1	`x`
96.6%	1	`eps`
96.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations170.0ms (1.8%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 308 to 155 computations (49.7% saved)

preprocess137.0ms (1.4%)

Memory: -46.5MiB live, 112.5MiB allocated; 69ms collecting garbage
Compiler: Compiled 342 to 185 computations (45.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze37.0ms (0.4%)

sample5.1s (53.5%)

preprocess86.0ms (0.9%)

series21.0ms (0.2%)

rewrite290.0ms (3.1%)

eval57.0ms (0.6%)

prune17.0ms (0.2%)

series337.0ms (3.6%)

rewrite464.0ms (4.9%)

eval592.0ms (6.3%)

prune69.0ms (0.7%)

series273.0ms (2.9%)

rewrite374.0ms (4%)

eval480.0ms (5.1%)

prune49.0ms (0.5%)

series101.0ms (1.1%)

rewrite289.0ms (3.1%)

eval134.0ms (1.4%)

prune86.0ms (0.9%)

regimes59.0ms (0.6%)

regimes50.0ms (0.5%)

regimes45.0ms (0.5%)

regimes46.0ms (0.5%)

regimes41.0ms (0.4%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

derivations170.0ms (1.8%)

preprocess137.0ms (1.4%)

end0.0ms (0%)

Profiling