Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze31.0ms (0.2%)

Memory

0.3MiB live, 43.4MiB allocated; 5ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.5s (25.9%)

Memory

157.8MiB live, 3 548.5MiB allocated; 2.2s collecting garbage

Samples

2.0s	25 896×	0	invalid
642.0ms	5 543×	1	valid
187.0ms	2 713×	0	valid

Precisions

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

ival-tan: 798.0ms (44.2% of total)

ival-fabs: 247.0ms (13.7% of total)

ival-<: 182.0ms (10.1% of total)

adjust: 162.0ms (9% of total)

ival-add!: 143.0ms (7.9% of total)

ival-mult!: 114.0ms (6.3% of total)

ival-sub!: 87.0ms (4.8% of total)

ival-and: 61.0ms (3.4% of total)

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

Bogosity

preprocess49.0ms (0.3%)

Memory

37.3MiB live, 37.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 12 to 12 computations (0% saved)

series160.0ms (0.9%)

Memory

-1.9MiB live, 89.4MiB allocated; 13ms collecting garbage

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
7.0ms	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))

rewrite677.0ms (3.9%)

Memory

1.2MiB live, 565.7MiB allocated; 121ms collecting garbage

Counts

6 → 83

Calls

Call 1

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

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

eval25.0ms (0.1%)

Memory: 19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 449 to 428 computations (70.5% saved)

prune17.0ms (0.1%)

Memory

-25.7MiB live, 19.4MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	90	18	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	19	109

Accuracy

99.9%

Counts

109 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(fma.f64 (sin.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 (+.f64 x eps)))
	64.2%	(/.f64 (fma.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
	64.2%	(/.f64 (fma.f64 (tan.f64 (neg.f64 x)) (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
	64.2%	(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 x eps))) (cos.f64 x))
	64.2%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	64.2%	(-.f64 (+.f64 (/.f64 (.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 (.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 x eps)))) (tan.f64 x))
▶	5.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64)))) (tan.f64 x))
▶	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
✓	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	62.7%	(-.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)))))))
▶	63.0%	(-.f64 #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)))) (tan.f64 x))
	98.2%	#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))))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	98.7%	#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)))))))
▶	99.1%	#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)))))))
	99.0%	#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)))))))
	98.2%	#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 862 to 568 computations (34.1% saved)

series2.0s (11.8%)

Memory

67.7MiB live, 1 504.6MiB allocated; 380ms collecting garbage

Counts

60 → 245

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
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eps
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#s(literal 1 binary64)
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(-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))))
#s(literal -1 binary64)
(.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))
#s(literal -1/2 binary64)
(/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))
(.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(sin.f64 x)
x
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))
#s(literal 1/6 binary64)
(/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))
(.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 x #s(literal 2 binary64))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.f64)))
(+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.f64))
(+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64)))
(+.f64 (PI.f64) (PI.f64))
(PI.f64)
(tan.f64 x)
(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (cos.f64 x))
(-.f64 #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)))) (tan.f64 x))
#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))))
(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)))
(/.f64 (sin.f64 x) (cos.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 (+ 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) (+ (PI) (PI))) (PI))) (tan x)) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64)))))))
#s(approx (- (tan (+ (+ (+ x eps) (+ (PI) (PI))) (PI))) (tan x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64)))))) (/.f64 (.f64 x (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))
#s(approx (- (tan (+ (+ (+ x eps) (+ (PI) (PI))) (PI))) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (- (tan (+ (+ (+ x eps) (+ (PI) (PI))) (PI))) (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 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (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 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (tan (+ (+ (+ x eps) (+ (PI) (PI))) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (tan (+ (+ (+ x eps) (+ (PI) (PI))) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (tan (+ (+ (+ x eps) (+ (PI) (PI))) (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 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (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 (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64)))))))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))))
#s(approx (+ (+ (+ x eps) (+ (PI) (PI))) (PI)) (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (+ (+ (+ x eps) (+ (PI) (PI))) (PI)) (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))
#s(approx (+ (+ x eps) (+ (PI) (PI))) (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64))))
#s(approx (+ (+ x eps) (+ (PI) (PI))) (+.f64 eps (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))))
#s(approx (/ 1 (cos x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (/ 1 (cos x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (/ 1 (cos x)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps x)))))
#s(approx (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (*.f64 #s(literal 1/3 binary64) x)))))))
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Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	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 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) (+ (PI) (PI))) (PI))) (tan x)) (tan (+ (+ (+ x eps) (+ (PI) (PI))) (PI))) (+ (+ (+ x eps) (+ (PI) (PI))) (PI)) (+ (+ x eps) (+ (PI) (PI))) (+ (PI) (PI)) (PI) (tan x) (- (tan (+ x eps)) (* (/ 1 (cos x)) (sin x))) (* (/ 1 (cos x)) (sin x)) (/ 1 (cos x)) (- (tan (+ x eps)) (tan x)) (tan (+ x eps)) (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (/ (sin x) (cos x)))
25.0ms	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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rewrite1.2s (6.9%)

Memory

1.6MiB live, 561.2MiB allocated; 125ms collecting garbage

Counts

60 → 764

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

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

eval267.0ms (1.5%)

Memory: 32.0MiB live, 256.5MiB allocated; 56ms collecting garbage
Compiler: Compiled 59 492 to 11 848 computations (80.1% saved)

prune58.0ms (0.3%)

Memory

-26.9MiB live, 114.6MiB allocated; 18ms collecting garbage

Pruning

30 alts after pruning (28 fresh and 2 done)

	Pruned	Kept	Total
New	1 143	20	1 163
Fresh	5	8	13
Picked	4	1	5
Done	0	1	1
Total	1 152	30	1 182

Accuracy

100.0%

Counts

1 182 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(/.f64 (fma.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
	64.2%	(/.f64 (fma.f64 (tan.f64 (neg.f64 x)) (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
	64.2%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	5.3%	(-.f64 (tan.f64 (fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (PI.f64) (+.f64 x eps))) (tan.f64 x))
▶	4.1%	(-.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.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)))))))
	5.3%	(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps)) (+.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
	5.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps)) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64)))) (tan.f64 x))
	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 x)))
✓	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
✓	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
	8.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
	63.0%	(-.f64 #s(approx (tan (+ x eps)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x))) (tan.f64 x))
	61.8%	(-.f64 #s(approx (tan (+ x eps)) #s(approx (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps x)))))) (tan.f64 x))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (+.f64 #s(literal -1/2 binary64) #s(literal 1/6 binary64)))) eps (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
	98.7%	#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)))))))
	98.6%	#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 #s(approx (+ ( -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)))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2764/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 124/45 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 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 #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)))))))
	98.8%	#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 #s(approx (+ ( -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)))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -124/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 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 #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)))))))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 #s(approx ( -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)))))) (.f64 x (fma.f64 #s(literal 2/3 binary64) eps (.f64 #s(literal 17/9 binary64) (.f64 eps (pow.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))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
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	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* 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)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #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)))))))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 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 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)))))))
▶	98.2%	#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)))))))
	98.2%	#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))))))))))))
	97.5%	#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 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
▶	97.5%	#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)))))))
	98.2%	#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))))))))))

Compiler

Compiled 3 650 to 1 858 computations (49.1% saved)

series2.2s (13%)

Memory

10.9MiB live, 1 488.4MiB allocated; 401ms collecting garbage

Counts

56 → 254

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
93.0ms	x	@	-inf	((- (tan (+ x eps)) (tan x)) (+ (* (+ (* (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (+ (* (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1) (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) 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rewrite1.8s (10.7%)

Memory

2.3MiB live, 1 977.6MiB allocated; 1.3s collecting garbage

Counts

56 → 875

Calls

Call 1

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

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

eval252.0ms (1.5%)

Memory: 15.9MiB live, 338.1MiB allocated; 109ms collecting garbage
Compiler: Compiled 41 756 to 8 216 computations (80.3% saved)

prune53.0ms (0.3%)

Memory

-1.3MiB live, 90.0MiB allocated; 11ms collecting garbage

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1 068	15	1 083
Fresh	9	14	23
Picked	4	1	5
Done	0	2	2
Total	1 081	32	1 113

Accuracy

100.0%

Counts

1 113 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.2%	(/.f64 (fma.f64 (tan.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
▶	64.2%	(/.f64 (fma.f64 (tan.f64 (neg.f64 x)) (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps))) (cos.f64 (+.f64 x eps)))
▶	64.2%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	5.3%	(-.f64 (tan.f64 (fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (PI.f64) (+.f64 x eps))) (tan.f64 x))
	4.1%	(-.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
	5.3%	(-.f64 (tan.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps)) (+.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
	5.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps)) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64)))) (tan.f64 x))
	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (+.f64 (neg.f64 x) (/.f64 (PI.f64) #s(literal 2 binary64))))) (sin.f64 x)))
✓	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
✓	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
	8.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
	63.0%	(-.f64 #s(approx (tan (+ x eps)) (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps (tan.f64 x))) (tan.f64 x))
	98.7%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2764/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 124/45 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 binary64)))) eps (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -124/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 binary64)))) eps (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (.f64 (tan.f64 x) (tan.f64 x)) eps)))
	99.0%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) (.f64 x (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64)))) eps (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
▶	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 #s(approx (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) (.f64 #s(literal -2/3 binary64) x)) eps (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (.f64 (tan.f64 x) (tan.f64 x)) eps)))
	98.9%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 #s(approx (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) #s(literal 1/3 binary64)) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (.f64 x (+.f64 #s(literal 4/3 binary64) (.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) eps #s(literal 1 binary64)) eps (.f64 (.f64 (tan.f64 x) (tan.f64 x)) eps)))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 #s(approx (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps #s(literal 1 binary64)) eps (.f64 (.f64 (tan.f64 x) (tan.f64 x)) eps)))
▶	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
	98.5%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps #s(approx (- (* 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)))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 eps #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)))))))
	98.2%	#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 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)))))))
	98.2%	#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) #s(approx ( -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
▶	97.5%	#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)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
	98.2%	#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))))))))))))
	97.5%	#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 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))

Compiler

Compiled 2 963 to 1 703 computations (42.5% saved)

series2.1s (12%)

Memory

-19.7MiB live, 854.3MiB allocated; 314ms collecting garbage

Counts

47 → 232

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
51.0ms	eps	@	0	((- (tan (+ x eps)) (tan x)) (+ (* (+ (* (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (+ (* (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) 1) (+ (* (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) eps) (* (+ (* (tan x) (tan x)) 1) (tan x))) (neg (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))))) (+ (* (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) eps) (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))))) (+ (* (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (tan x)) (* (* (+ (* (tan x) (tan x)) 1) (tan x)) (+ -1/2 1/6))) (* -2/3 x) -2/3 x eps (+ (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))))) (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) -1/2 (+ (* (tan x) (tan x)) 1) (tan x) 1 (* 1/6 (* (tan x) (tan x))) 1/6 (* (tan x) (tan x)) (- 1/6 (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))) (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (* (tan x) (tan x)) eps) (- (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))))) (- (+ 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 (- (tan (+ x eps)) (tan x)) (* (+ (pow (tan x) 2) 1) eps) (+ (pow (tan x) 2) 1) (pow (tan x) 2) 2 (/ (sin (- (+ x eps) x)) (* (cos (+ x eps)) (cos x))) (sin (- (+ x eps) x)) (- (+ x eps) x) (+ x eps) (* (cos (+ x eps)) (cos x)) (cos (+ x eps)) (cos x) (/ (+ (* (tan (neg x)) (cos (+ x eps))) (sin (+ x eps))) (cos (+ x eps))) (+ (* (tan (neg x)) (cos (+ x eps))) (sin (+ x eps))) (tan (neg x)) (neg x) (sin (+ x eps)))
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rewrite1.2s (7.1%)

Memory

15.9MiB live, 202.7MiB allocated; 28ms collecting garbage

Counts

47 → 699

Calls

Call 1

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

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

eval224.0ms (1.3%)

Memory: 1.9MiB live, 137.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 25 942 to 5 867 computations (77.4% saved)

prune78.0ms (0.5%)

Memory

-4.1MiB live, 49.6MiB allocated; 8ms collecting garbage

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	827	12	839
Fresh	15	9	24
Picked	4	1	5
Done	2	1	3
Total	848	23	871

Accuracy

100.0%

Counts

871 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.2%	(/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) x))))
	99.1%	(/.f64 #s(approx (sin (- (+ x eps) x)) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	99.8%	(/.f64 #s(approx (sin (- (+ x eps) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
	5.3%	(-.f64 (tan.f64 (fma.f64 (+.f64 #s(literal 2 binary64) #s(literal 1 binary64)) (PI.f64) (+.f64 x eps))) (tan.f64 x))
	4.1%	(-.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
	5.3%	(-.f64 (tan.f64 (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps)) (+.f64 (PI.f64) (PI.f64))) (PI.f64))) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) eps)) (tan.f64 x))
	5.4%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64)))) (tan.f64 x))
✓	64.2%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.7%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
	8.2%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
	64.2%	(*.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x eps) x)) (+.f64 (cos.f64 (-.f64 (-.f64 x x) eps)) (cos.f64 (+.f64 (+.f64 x eps) x)))) #s(literal 2 binary64))
	98.2%	#s(approx (/ (sin (- (+ x eps) x)) (* (cos (+ x eps)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
	99.0%	#s(approx (/ (sin (- (+ x eps) x)) (* (cos (+ x eps)) (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))))))
	98.7%	#s(approx (/ (sin (- (+ x eps) x)) (* (cos (+ x eps)) (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))))))
	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
	98.2%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 #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(literal 2 binary64)) #s(literal 1 binary64)) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) #s(approx ( -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
✓	97.5%	#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)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
	98.2%	#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))))))))))))
	97.9%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) 1) eps) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
	97.5%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) 1) eps) eps))

Compiler

Compiled 2 939 to 957 computations (67.4% saved)

regimes83.0ms (0.5%)

Memory

-17.4MiB live, 28.8MiB allocated; 4ms collecting garbage

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) 1) eps) eps))
#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)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) 1) eps) (+.f64 eps (*.f64 eps (pow.f64 x #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)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) #s(approx ( -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (+.f64 (pow.f64 #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(literal 2 binary64)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (.f64 #s(literal 2/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(-.f64 #s(approx (tan (+ x eps)) #s(approx (+ (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/ (sin x) (cos x))) (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 eps x)))))) (tan.f64 x))
#s(approx (/ (sin (- (+ x eps) x)) (* (cos (+ x eps)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) 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 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
(-.f64 (tan.f64 (fma.f64 #s(literal 2 binary64) (PI.f64) (+.f64 x eps))) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) #s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))
(-.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)))
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#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) #s(approx ( 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 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 (- (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 #s(approx ( -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)))))) (.f64 x (fma.f64 #s(literal 2/3 binary64) eps (.f64 #s(literal 17/9 binary64) (.f64 eps (pow.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))))))))) (.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 #s(approx (+ ( -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)))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -124/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 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 #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 #s(approx (+ ( -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)))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2764/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 124/45 binary64))) #s(literal 17/9 binary64))) #s(literal 2/3 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 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))) (tan.f64 x) (.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (+.f64 #s(literal -1/2 binary64) #s(literal 1/6 binary64)))) eps (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (-.f64 #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))))))) eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps (.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

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

Calls

3 calls:

28.0ms	x
26.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
21.0ms	eps

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)

regimes23.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes21.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 (+.f64 x (PI.f64)) (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) eps))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.2%	1	`x`
98.2%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes16.0ms (0.1%)

Memory

-38.7MiB live, 8.4MiB allocated; 1ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.2%	1	`eps`
98.2%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes9.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes8.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`eps`
98.0%	1	`x`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes6.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.9%	1	`x`
97.9%	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 (- (tan (+ x eps)) (tan x)) #s(approx (* (+ (pow (tan x) 2) 1) eps) eps))

#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)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))))

Outputs

#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)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)))))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.5%	1	`x`
97.5%	1	`eps`

Compiler

Compiled 8 to 10 computations (-25% saved)

regimes3.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`eps`
97.5%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`

Compiler

Compiled 8 to 10 computations (-25% saved)

derivations3.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 242 to 112 computations (53.7% saved)

preprocess116.0ms (0.7%)

Memory: 16.5MiB live, 112.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 276 to 142 computations (48.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze31.0ms (0.2%)

sample4.5s (25.9%)

preprocess49.0ms (0.3%)

series160.0ms (0.9%)

rewrite677.0ms (3.9%)

eval25.0ms (0.1%)

prune17.0ms (0.1%)

series2.0s (11.8%)

rewrite1.2s (6.9%)

eval267.0ms (1.5%)

prune58.0ms (0.3%)

series2.2s (13%)

rewrite1.8s (10.7%)

eval252.0ms (1.5%)

prune53.0ms (0.3%)

series2.1s (12%)

rewrite1.2s (7.1%)

eval224.0ms (1.3%)

prune78.0ms (0.5%)

regimes83.0ms (0.5%)

regimes23.0ms (0.1%)

regimes21.0ms (0.1%)

regimes16.0ms (0.1%)

regimes16.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

derivations3.0ms (0%)

preprocess116.0ms (0.7%)

end0.0ms (0%)

Profiling