Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

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

analyze59.0ms (0.6%)

Memory

-16.0MiB live, 69.6MiB allocated; 15ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample5.7s (58.6%)

Memory

51.0MiB live, 5 283.3MiB allocated; 2.8s collecting garbage

Samples

3.3s	26 249×	0	invalid
855.0ms	5 633×	1	valid
211.0ms	2 623×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-fabs: 961.0ms (31.9% of total)

ival-tan: 924.0ms (30.7% of total)

ival-<: 323.0ms (10.7% of total)

ival-mult!: 200.0ms (6.6% of total)

adjust: 193.0ms (6.4% of total)

ival-sub!: 168.0ms (5.6% of total)

ival-add!: 130.0ms (4.3% of total)

ival-and: 99.0ms (3.3% of total)

ival-assert: 15.0ms (0.5% of total)

Bogosity

preprocess56.0ms (0.6%)

Memory

-8.9MiB live, 37.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

series118.0ms (1.2%)

Memory

29.3MiB live, 120.1MiB allocated; 18ms 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
2.0ms	x	-inf
2.0ms	eps	0
2.0ms	eps	inf
2.0ms	x	0
2.0ms	eps	-inf

rewrite215.0ms (2.2%)

Memory

-59.7MiB live, 137.4MiB allocated; 134ms collecting garbage

Counts

6 → 14

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 (tan.f64 (+.f64 x eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 x eps))))
(/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps)))
(tan.f64 (+.f64 x eps))
(tan.f64 (+.f64 (+.f64 x eps) (PI.f64)))
(+.f64 x eps)
(+.f64 eps x)
(-.f64 x (neg.f64 eps))
x
eps
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 x)
(tan.f64 (+.f64 x (PI.f64)))

eval5.0ms (0%)

Memory: 7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 340 to 235 computations (82.5% saved)

prune7.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	30	9	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	10	40

Accuracy

100.0%

Counts

40 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
▶	5.0%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
	7.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
▶	62.1%	(-.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)))))))
	98.4%	#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))))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
▶	99.3%	#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)))))))
▶	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
▶	98.6%	#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 569 to 300 computations (47.3% saved)

series423.0ms (4.3%)

Memory

4.7MiB live, 601.9MiB allocated; 160ms collecting garbage

Counts

53 → 208

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#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))))
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#s(approx (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 62/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (pow (sin x) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (pow (sin x) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin x) 2) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (.f64 #s(literal -1/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (sin x) x)
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))
#s(approx (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 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 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -62/315 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/45 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64))))
#s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -2/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.f64 #s(literal -1 binary64) x))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64))))
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/315 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/15 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64))))
#s(approx (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/15 binary64) (.f64 #s(literal 248/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (*.f64 #s(literal 61/120 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 61/120 binary64) (.f64 #s(literal 277/1008 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan x) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (+ 1 (* 1/3 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* 1/3 (pow x 2)) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64)))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) (+.f64 (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64)))) (/.f64 (*.f64 x (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (PI.f64)))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))))
#s(approx (- (tan (+ (+ x eps) (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 (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (PI.f64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 (sin.f64 (+.f64 eps (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (PI.f64))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))))
#s(approx (tan (+ (+ x eps) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 (+.f64 eps (PI.f64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))))
#s(approx (+ (+ x eps) (PI)) (+.f64 eps (PI.f64)))
#s(approx (+ (+ x eps) (PI)) (+.f64 eps (+.f64 x (PI.f64))))
#s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
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#s(approx (tan (+ (+ x eps) (PI))) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64)))))
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#s(approx (+ (+ x eps) (PI)) (+.f64 x (PI.f64)))
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#s(approx (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (pow.f64 eps #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)))))) (*.f64 eps (cos.f64 x)))))))
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#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (+ (+ x eps) (PI)) (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x eps) (/.f64 (PI.f64) eps)))))
#s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x)))
#s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))
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#s(approx (* eps (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 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 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps) (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)))))))))))
#s(approx (- (+ 1 (* eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))) eps)))))
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#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)))))
#s(approx (- (tan (+ (+ x eps) (PI))) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 (+.f64 x (PI.f64)) (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 (+.f64 x (PI.f64)) (.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ (+ x eps) (PI))) (/.f64 (sin.f64 (-.f64 (+.f64 x (PI.f64)) (.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 (+.f64 x (PI.f64)) (.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ (+ x eps) (PI)) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (PI.f64)) eps)) #s(literal 1 binary64)))))
#s(approx (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (.f64 #s(literal -1 binary64) (.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) eps))))))
#s(approx (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.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) eps)))))

Calls

6 calls:

Time	Variable	Point
17.0ms	eps	0
15.0ms	x	-inf
14.0ms	x	inf
11.0ms	x	0
10.0ms	eps	inf

rewrite461.0ms (4.7%)

Memory

28.5MiB live, 496.6MiB allocated; 169ms collecting garbage

Counts

53 → 595

Calls

Call 1

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

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

eval172.0ms (1.8%)

Memory: -5.7MiB live, 264.5MiB allocated; 45ms collecting garbage
Compiler: Compiled 77 814 to 8 543 computations (89% saved)

prune74.0ms (0.8%)

Memory

31.5MiB live, 83.3MiB allocated; 66ms collecting garbage

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	1 057	31	1 088
Fresh	3	1	4
Picked	5	0	5
Done	0	1	1
Total	1 065	33	1 098

Accuracy

100.0%

Counts

1 098 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
	63.3%	(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
	3.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
	8.1%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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)))))))
	7.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
▶	62.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))))
▶	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
▶	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.3%	#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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))
	99.3%	#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))))))) (cos.f64 x))) (.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))))))
	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 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 (.f64 eps #s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.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)))))))
	99.7%	#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 #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 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)))))))
	99.7%	#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 #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 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)))))))
	99.7%	#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 #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) #s(literal -1/3 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)))))))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 #s(approx (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 4/3 binary64) (.f64 eps (pow.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)))))))
	98.0%	#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
	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)))))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
▶	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
	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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
	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)))))))))

Compiler

Compiled 3 329 to 1 772 computations (46.8% saved)

series233.0ms (2.4%)

Memory

-4.7MiB live, 225.0MiB allocated; 42ms collecting garbage

Counts

37 → 127

Calls

Call 1

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (* (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) eps) (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) 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)) x)))
#s(approx (* (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (.f64 x (fma.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))))
#s(approx (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))
#s(approx (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))
#s(approx (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) (*.f64 #s(literal 1/3 binary64) eps))
#s(approx (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg 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 4/3 binary64) (*.f64 eps x))))))
#s(approx (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal 4/3 binary64) eps (*.f64 #s(literal 4/3 binary64) x)))))))
#s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64))
#s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64)))
#s(approx (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) #s(literal -1/2 binary64))
#s(approx (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/2 binary64)))
#s(approx (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (* (tan x) (tan x)) 1) #s(literal 1 binary64))
#s(approx (+ (* (tan x) (tan x)) 1) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (* (tan x) (tan x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (+ (* (tan x) (tan x)) 1) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (tan 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 (* 1/6 (* (tan x) (tan x))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* 1/6 (* (tan x) (tan x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* 1/6 (* (tan x) (tan x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* 1/6 (* (tan x) (tan x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (tan x) (tan x)) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* (tan x) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (tan x) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal 17/45 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (tan x) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/45 binary64) (.f64 #s(literal 62/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/3 binary64) (*.f64 #s(literal 77/45 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 77/45 binary64) (.f64 #s(literal 88/63 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* (+ (* (tan x) (tan x)) 1) (tan x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (+ (* (tan x) (tan x)) 1) (tan x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (+ (* (tan x) (tan x)) 1) (tan x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 4/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/15 binary64) (.f64 #s(literal 248/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps)
#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 (* 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))))))))
#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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) 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))))
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#s(approx (+ (* (* x x) 1/3) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
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#s(approx (* eps (* (tan x) (tan x))) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
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#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
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#s(approx (+ (* (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.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))))) (cos.f64 x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) eps))) eps)))))
#s(approx (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 eps (cos.f64 x))) (fma.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#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)))))
#s(approx (+ (* eps (+ (* (* (+ (* (tan x) (tan x)) 1) (tan x)) eps) 1)) (* eps (* (tan x) (tan x)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)) eps) (/.f64 (*.f64 (sin.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))))) (cos.f64 x)))))
#s(approx (+ (* (* (+ (* (tan x) (tan x)) 1) (tan x)) eps) 1) (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.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))))) (cos.f64 x))) (/.f64 #s(literal 1 binary64) eps)))))

Calls

6 calls:

Time	Variable	Point
8.0ms	x	inf
7.0ms	x	-inf
6.0ms	eps	-inf
6.0ms	eps	0
5.0ms	eps	inf

rewrite165.0ms (1.7%)

Memory

-2.0MiB live, 135.1MiB allocated; 32ms collecting garbage

Counts

37 → 119

Calls

Call 1

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

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

eval41.0ms (0.4%)

Memory: 14.6MiB live, 59.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 16 839 to 1 725 computations (89.8% saved)

prune53.0ms (0.5%)

Memory

-21.0MiB live, 69.5MiB allocated; 7ms collecting garbage

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	267	19	286
Fresh	13	14	27
Picked	4	1	5
Done	0	1	1
Total	284	35	319

Accuracy

100.0%

Counts

319 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
	63.3%	(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
	3.8%	(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
	8.1%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
▶	7.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
✓	62.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 eps (tan.f64 x)) (tan.f64 x) (.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) eps) #s(literal 1 binary64)) eps)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64)))))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
▶	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 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)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(approx (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
▶	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
	99.3%	#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))))))) (cos.f64 x))) (.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) (fma.f64 (PI.f64) #s(literal 1/2 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)))))))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
▶	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)))))))))
▶	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))

Compiler

Compiled 2 913 to 1 516 computations (48% saved)

series345.0ms (3.5%)

Memory

-3.7MiB live, 282.7MiB allocated; 98ms collecting garbage

Counts

43 → 144

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
46.0ms	eps	0
24.0ms	x	-inf
18.0ms	x	inf
8.0ms	eps	inf
7.0ms	x	0

rewrite382.0ms (3.9%)

Memory

20.3MiB live, 292.8MiB allocated; 68ms collecting garbage

Counts

43 → 473

Calls

Call 1

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

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

eval121.0ms (1.2%)

Memory: 9.2MiB live, 107.3MiB allocated; 24ms collecting garbage
Compiler: Compiled 32 051 to 3 454 computations (89.2% saved)

prune35.0ms (0.4%)

Memory

-2.3MiB live, 44.6MiB allocated; 2ms collecting garbage

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	538	18	556
Fresh	15	13	28
Picked	3	2	5
Done	0	2	2
Total	556	35	591

Accuracy

100.0%

Counts

591 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
	8.1%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
	3.9%	(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
✓	7.7%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
✓	63.3%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
	62.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
✓	62.1%	(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
	98.8%	#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	99.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
	99.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
	99.8%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps))
	98.6%	#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) eps))
	98.4%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
	99.3%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
	99.3%	#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))))))) (cos.f64 x))) (.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
	98.1%	#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
	98.0%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
	6.2%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
✓	97.7%	#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))

Compiler

Compiled 1 551 to 821 computations (47.1% saved)

regimes898.0ms (9.2%)

Memory

15.1MiB live, 746.6MiB allocated; 357ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

4 → 1

6 → 1

9 → 1

19 → 1

27 → 1

41 → 1

42 → 1

46 → 1

49 → 1

53 → 1

57 → 1

65 → 1

67 → 1

69 → 1

70 → 1

78 → 1

Calls

Call 1

Inputs

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

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

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

Call 2

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

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

Call 3

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

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

Outputs

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

Call 4

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

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

Outputs

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

Call 5

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

Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (+ (* eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps x))))))))))

Call 6

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

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

Call 7

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))

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

Outputs

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

Call 8

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))

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

Call 9

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))

Outputs

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

Call 10

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps #s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.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 (.f64 eps (tan.f64 x)) (tan.f64 x) (.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) eps) #s(literal 1 binary64)) eps)))

Outputs

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

Call 11

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps #s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.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 (.f64 eps (tan.f64 x)) (tan.f64 x) (.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 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 (fma.f64 eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))))

Outputs

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

Call 12

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps #s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.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 (.f64 eps (tan.f64 x)) (tan.f64 x) (.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 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 (fma.f64 eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64)))))))

Outputs

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

Call 13

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
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#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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))))))) (cos.f64 x))) (.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 #s(approx (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))

Call 14

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps #s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.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 (.f64 eps (tan.f64 x)) (tan.f64 x) (.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 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 (fma.f64 eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))))))) (cos.f64 x))) (.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) #s(literal -1/3 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

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

Call 15

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps #s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.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 (.f64 eps (tan.f64 x)) (tan.f64 x) (.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 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 (fma.f64 eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))))))) (cos.f64 x))) (.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) #s(literal -1/3 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 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 #s(approx (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 4/3 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

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

Call 16

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

Outputs

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

Call 17

Inputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (fma.f64 (.f64 eps #s(literal 2/3 binary64)) (.f64 x x) eps) (*.f64 x x) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) #s(approx (+ eps (* (pow x 2) (+ eps (* 2/3 (* eps (pow x 2)))))) (.f64 #s(literal 2/3 binary64) (.f64 eps (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (+ ( eps (* (+ (* (tan x) (tan x)) 1) (tan x))) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 4/3 binary64) (.f64 eps x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 #s(approx (tan x) x) #s(approx (tan x) x)))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 (.f64 eps x) x (fma.f64 (.f64 eps (.f64 x x)) (.f64 #s(literal 2/3 binary64) (*.f64 x x)) eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 (/ ( eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps)))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (/ (* eps (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (cos x))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (.f64 x (fma.f64 x (+.f64 eps (.f64 eps (.f64 x (-.f64 (.f64 #s(literal 5/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (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)) #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 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x)))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) #s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 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))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) (.f64 #s(approx (tan x) x) #s(approx (tan x) x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64)) #s(approx (tan x) x))) eps (fma.f64 #s(approx (tan x) x) #s(approx (tan x) x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps #s(approx (- (+ 1 ( eps (- (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 #s(approx (+ ( (+ (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (* (+ (* (tan x) (tan x)) 1) (tan x))) eps) (+ (* (tan x) (tan x)) 1)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 x (+.f64 eps (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (.f64 eps x) (.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 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)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 #s(approx (+ ( (- (+ (* 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (neg eps)) (* (- (pow (tan x) 2) -1) (tan x))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/3 binary64))) #s(literal 1 binary64)))))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.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(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 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 17/45 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2/3 binary64) eps))))))))
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 x eps) (+.f64 (PI.f64) (PI.f64))) (PI.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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 x (PI.f64))))
(-.f64 (tan.f64 (+.f64 (+.f64 x eps) (PI.f64))) (tan.f64 (+.f64 x (PI.f64))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (+.f64 x eps))) (tan.f64 x))
(fma.f64 (sin.f64 (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x eps))) (tan.f64 (neg.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 #s(approx (+ ( (tan x) (tan x)) 1) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x)) #s(literal 1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (.f64 (tan.f64 x) (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps (tan.f64 x))) eps (.f64 #s(literal 1 binary64) eps)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 x eps)) (cos.f64 x)) (sin.f64 x)) (cos.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (+.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (tan.f64 x) eps) #s(literal 1 binary64)) (.f64 eps (pow.f64 (tan.f64 x) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps #s(approx (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 5/6 binary64) (pow.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 (.f64 eps (tan.f64 x)) (tan.f64 x) (.f64 (fma.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (tan.f64 x) eps) #s(literal 1 binary64)) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) #s(approx (- 1 ( -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(literal 1 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 (fma.f64 eps (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x)) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 x) (tan.f64 x)))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (fma.f64 eps (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 eps (fma.f64 (.f64 (fma.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64))) #s(literal 1 binary64)) (tan.f64 (+.f64 x (PI.f64)))) eps #s(literal 1 binary64)) (.f64 eps (*.f64 (tan.f64 (+.f64 x (PI.f64))) (tan.f64 (+.f64 x (PI.f64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (+ (* (pow (tan x) 2) (- (pow (tan x) 2) -1)) -1/6)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))))))) (cos.f64 x))) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 #s(approx (- (- (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 binary64))) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))))))))) (cos.f64 x))) (.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) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 eps (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) #s(literal -1/3 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 (fma.f64 (fma.f64 (-.f64 #s(approx (+ ( 1/6 (pow (tan x) 2)) (+ (* (pow (tan x) 2) -1/2) -1/2)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 #s(approx (* -1 (* eps (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (fma.f64 #s(literal 1/3 binary64) eps (.f64 #s(literal 4/3 binary64) (.f64 eps (pow.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 (-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/3 binary64) #s(literal -1/2 binary64))) eps (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -17/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 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 x (-.f64 (/.f64 (.f64 x (.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps #s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -248/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/9 binary64))) #s(literal 4/3 binary64))) #s(literal 1/3 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 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(approx (+ ( -1/2 (+ (* (tan x) (tan x)) 1)) (* 1/6 (* (tan x) (tan x)))) (-.f64 (.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/6 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)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1/6 binary64))) (neg.f64 eps) (.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 (tan.f64 x) (tan.f64 x)))) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps) (.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))

Outputs

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

Calls

51 calls:

153.0ms	x
43.0ms	eps
30.0ms	eps
30.0ms	x
28.0ms	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Results

Accuracy	Segments	Branch
97.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
97.7%	1	`eps`
97.7%	1	`x`
98.0%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.0%	1	`x`
98.0%	1	`eps`
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.1%	1	`x`
98.1%	1	`eps`
98.1%	1	`x`
98.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.1%	1	`eps`
98.6%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
98.6%	1	`x`
98.6%	1	`eps`
99.1%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.1%	1	`x`
99.1%	1	`eps`
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`
99.3%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.3%	1	`x`
99.3%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.7%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.7%	1	`x`
99.7%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`
99.8%	1	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
99.8%	1	`x`
99.8%	1	`eps`

Compiler

Compiled 3 992 to 757 computations (81% saved)

derivations4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 829 to 166 computations (80% saved)

preprocess170.0ms (1.7%)

Memory: 6.3MiB live, 242.2MiB allocated; 21ms collecting garbage
Compiler: Compiled 871 to 196 computations (77.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze59.0ms (0.6%)

sample5.7s (58.6%)

preprocess56.0ms (0.6%)

series118.0ms (1.2%)

rewrite215.0ms (2.2%)

eval5.0ms (0%)

prune7.0ms (0.1%)

series423.0ms (4.3%)

rewrite461.0ms (4.7%)

eval172.0ms (1.8%)

prune74.0ms (0.8%)

series233.0ms (2.4%)

rewrite165.0ms (1.7%)

eval41.0ms (0.4%)

prune53.0ms (0.5%)

series345.0ms (3.5%)

rewrite382.0ms (3.9%)

eval121.0ms (1.2%)

prune35.0ms (0.4%)

regimes898.0ms (9.2%)

derivations4.0ms (0%)

preprocess170.0ms (1.7%)

end0.0ms (0%)

Profiling