2tan (problem 3.3.2)

Time bar (total: 6.8s)

start0.0ms (0.0%)

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

analyze32.0ms (0.5%)

Memory
-7.6MiB live, 38.1MiB allocated; 6ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%50.6%49.4%0.0%0.0%0.0%0
0.0%0.0%50.6%49.4%0.0%0.0%0.0%1
0.0%0.0%50.6%49.4%0.0%0.0%0.0%2
0.0%0.0%25.3%49.4%0.0%25.3%0.0%3
0.0%0.0%25.3%49.4%0.0%25.3%0.0%4
0.0%0.0%19.0%49.4%0.0%31.6%0.0%5
0.0%0.0%15.8%49.4%0.0%34.8%0.0%6
0.0%0.0%11.1%49.4%0.0%39.5%0.0%7
0.0%0.0%8.7%49.4%0.0%41.9%0.0%8
0.0%0.0%5.9%49.4%0.0%44.6%0.0%9
0.0%0.0%4.5%49.4%0.0%46.0%0.0%10
0.0%0.0%3.1%49.4%0.0%47.5%0.0%11
0.0%0.0%2.7%49.4%0.0%47.9%0.0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample4.2s (60.9%)

Memory
70.6MiB live, 4 441.9MiB allocated; 1.9s collecting garbage
Samples
2.3s25 547×0invalid
688.0ms5 632×1valid
180.0ms2 624×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-tan: 606.0ms (29.7% of total)
ival-mult!: 552.0ms (27.0% of total)
ival-fabs: 309.0ms (15.1% of total)
adjust: 153.0ms (7.5% of total)
ival-add!: 125.0ms (6.1% of total)
ival-<: 120.0ms (5.9% of total)
ival-sub!: 102.0ms (5.0% of total)
ival-and: 62.0ms (3.0% of total)
ival-assert: 14.0ms (0.7% of total)
Bogosity

preprocess47.0ms (0.7%)

Memory
-28.5MiB live, 16.6MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02146
18442
243242
3381142
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
Outputs

series21.0ms (0.3%)

Memory
24.3MiB live, 24.3MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921190
Stop Event
iter-limit
Counts
6 → 31
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (tan (+ x eps)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ x eps) eps)
#s(approx (+ x eps) (+.f64 eps x))
#s(approx x x)
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))))
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x))))
#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
#s(approx (tan (+ x eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
Calls

6 calls:

TimeVariablePoint
2.0ms
x
-inf
2.0ms
eps
0
2.0ms
eps
inf
2.0ms
x
0
2.0ms
eps
-inf

rewrite126.0ms (1.8%)

Memory
17.2MiB live, 116.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
16018
225218
3167318
0460218
Stop Event
iter-limit
node-limit
iter-limit
Counts
6 → 112
Calls
Call 1
Inputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(tan.f64 x)
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x)))) (tan.f64 (+.f64 eps x)))
(*.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (tan.f64 (+.f64 eps x)))) (tan.f64 (+.f64 eps x)))
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (-.f64 (neg.f64 x) eps))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (fma.f64 (neg.f64 (tan.f64 x)) (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 (+.f64 eps x)))
(/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps x))) (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x) (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps x))))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)))) (-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64))) (fma.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)) (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x))))))
(/.f64 (fma.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (neg.f64 x) eps)))) (*.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 (-.f64 (neg.f64 x) eps)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (fma.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (*.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x)))) (cos.f64 (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (cos.f64 (+.f64 eps x)) (tan.f64 x)) (sin.f64 (+.f64 eps x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x)))) (-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))
(/.f64 (+.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)) (-.f64 (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (tan.f64 x))) (*.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))))))
(/.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (-.f64 x (+.f64 eps x))) (neg.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) (sin.f64 (-.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x))) (*.f64 (tan.f64 x) (tan.f64 x))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (tan.f64 (+.f64 eps x)) (tan.f64 (+.f64 eps x)) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)))))
(neg.f64 (-.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))) (tan.f64 (+.f64 eps x)))
(-.f64 (/.f64 (*.f64 (cos.f64 x) (tan.f64 (+.f64 eps x))) (cos.f64 x)) (tan.f64 x))
(-.f64 (/.f64 (*.f64 (sin.f64 (+.f64 eps x)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) (/.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))))
(-.f64 (neg.f64 (tan.f64 x)) (tan.f64 (-.f64 (neg.f64 x) eps)))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))
(+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (+.f64 eps x)))
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))
(*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64))))
(/.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 (-.f64 (neg.f64 x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))
(/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))
(neg.f64 (tan.f64 (-.f64 (neg.f64 x) eps)))
(-.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (neg.f64 (sin.f64 eps)) (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(tan.f64 (+.f64 eps x))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))))
(+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x)
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 eps (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 eps eps (fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 eps (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (neg.f64 eps))) (+.f64 x (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 eps) (neg.f64 eps) (*.f64 x (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x eps))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps))))
(neg.f64 (-.f64 (neg.f64 x) eps))
(-.f64 eps (neg.f64 x))
(-.f64 x (neg.f64 eps))
(+.f64 eps (neg.f64 (neg.f64 x)))
(+.f64 eps x)
(+.f64 x eps)
x
eps
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 (neg.f64 (neg.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (cos.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (neg.f64 (neg.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)

eval17.0ms (0.3%)

Memory
-23.2MiB live, 22.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 087 to 559 computations (81.9% saved)

prune11.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New12910139
Fresh000
Picked011
Done000
Total12911140
Accuracy
99.9%
Counts
140 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
4.2%
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
7.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
64.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
63.2%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))))
63.9%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
98.1%
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
99.1%
#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)))))))
99.4%
#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)))))))
98.8%
#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 621 to 334 computations (46.2% saved)

sample0.0ms (0.0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1
1/6
2
-1/2
1/3
(PI)
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal 2 binary64)
#s(literal -1/2 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 884279719003555/281474976710656 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series143.0ms (2.1%)

Memory
-12.3MiB live, 135.1MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124314275
Stop Event
iter-limit
Counts
58 → 254
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 (PI.f64) x) eps)) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
(/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (* 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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#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))))) (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 (* 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))))) (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 (* 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))))) (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))))))
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#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))))
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#s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (pow (cos x) 2) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))))
#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)))
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#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))))
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#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))))))
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#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 (+ (+ (PI) x) eps)) (tan x)) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64)))))
#s(approx (- (tan (+ (+ (PI) x) eps)) (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 (+ (+ (PI) x) eps)) (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 (+ (+ (PI) 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 (+.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 (+ (+ (PI) x) eps)) (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 (+ (+ (PI) x) eps)) (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 (+ (+ (PI) 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 (+.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 (+ (+ (PI) x) eps) (+.f64 eps (PI.f64)))
#s(approx (+ (+ (PI) x) eps) (+.f64 eps (+.f64 x (PI.f64))))
#s(approx (+ (PI) x) (PI.f64))
#s(approx (+ (PI) x) (+.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)))))
#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)))))))
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#s(approx (/ (* (sin eps) (cos x)) (cos (+ eps x))) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
#s(approx (/ (* (sin eps) (cos x)) (cos (+ eps x))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 #s(literal 1/3 binary64) (*.f64 #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 (sin.f64 x) (cos.f64 x))))))))
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#s(approx (* (sin eps) (cos x)) (*.f64 eps (cos.f64 x)))
#s(approx (* (sin eps) (cos x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))
#s(approx (* (sin eps) (cos x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))))))))
#s(approx (* (sin eps) (cos x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) (*.f64 #s(literal 1/120 binary64) (cos.f64 x)))))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 x)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 x))))) (sin.f64 x)))))
#s(approx (/ (* (cos eps) (sin x)) (cos (+ eps x))) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
#s(approx (/ (* (cos eps) (sin x)) (cos (+ eps x))) (fma.f64 eps (-.f64 (/.f64 (*.f64 eps (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (*.f64 #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 (/ (* (cos eps) (sin x)) (cos (+ eps x))) (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (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 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))) (*.f64 #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 (* (cos eps) (sin x)) (+.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
#s(approx (* (cos eps) (sin x)) (+.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))
#s(approx (* (cos eps) (sin x)) (+.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (* 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 -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #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 (* 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 (pow.f64 eps #s(literal 3 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 (*.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))))))
#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 (pow.f64 eps #s(literal 3 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 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.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 (* 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 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(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 (*.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))))))
#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)) (-.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)))) (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)))))) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.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 (* 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 (+ (+ (PI) x) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x eps) (/.f64 (PI.f64) eps)))))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (* eps (- (+ 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 (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))) (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(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)))))
#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)) (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 (-.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)) eps)))))
#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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (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)))))) (*.f64 eps (cos.f64 x))) (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(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 (+ (+ (PI) x) eps)) (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 (+ (+ (PI) x) eps)) (/.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 (+ (+ (PI) x) eps) (*.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 (- (+ (/ (* (sin eps) (cos x)) (cos (+ eps x))) (/ (* (cos eps) (sin x)) (cos (+ eps x)))) (tan x)) (-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ (/ (* (sin eps) (cos x)) (cos (+ eps x))) (/ (* (cos eps) (sin x)) (cos (+ eps x)))) (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (* (sin eps) (cos x)) (cos (+ eps x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (/ (* (cos eps) (sin x)) (cos (+ eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
Calls

6 calls:

TimeVariablePoint
23.0ms
eps
inf
17.0ms
eps
0
14.0ms
x
0
12.0ms
x
inf
11.0ms
x
-inf

rewrite207.0ms (3.0%)

Memory
30.1MiB live, 213.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0621153
01111066
1599732
23110732
05048680
Stop Event
iter-limit
node-limit
iter-limit
Counts
58 → 1 070
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 (PI.f64) x) eps)) (tan.f64 x))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(tan.f64 x)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
(/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps)
(*.f64 eps (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))
(neg.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)))) eps))
(neg.f64 (*.f64 eps (neg.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(fma.f64 #s(literal 1 binary64) eps (*.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) eps))
(fma.f64 eps (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x)))))
(+.f64 (*.f64 eps (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64))) (*.f64 eps (*.f64 (tan.f64 x) (tan.f64 x))))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x)))))
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eval220.0ms (3.2%)

Memory
3.4MiB live, 276.0MiB allocated; 34ms collecting garbage
Compiler

Compiled 92 698 to 10 089 computations (89.1% saved)

prune50.0ms (0.7%)

Memory
-29.2MiB live, 67.2MiB allocated; 13ms collecting garbage
Pruning

29 alts after pruning (27 fresh and 2 done)

PrunedKeptTotal
New1 242241 266
Fresh235
Picked415
Done011
Total1 248291 277
Accuracy
100.0%
Counts
1 277 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.2%
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
64.7%
(fma.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 eps x))) (-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (tan.f64 x)))
64.8%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))))) (tan.f64 x))
64.8%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x))))) (tan.f64 x))
64.7%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 x))
64.3%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
64.2%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x)))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(approx (cos (+ eps x)) (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 x))) (sin.f64 x))))))) (tan.f64 x))
64.5%
(-.f64 (+.f64 (/.f64 (*.f64 #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
64.1%
(-.f64 (+.f64 (/.f64 #s(approx (* (sin eps) (cos x)) (*.f64 eps (cos.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
99.2%
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
4.2%
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
7.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
64.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
63.2%
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
98.1%
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
98.8%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) eps))
99.1%
#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)))))))
99.2%
#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)))))))
98.6%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))))
98.2%
#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)))))))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
98.3%
#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 (* 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 eps x))))))
98.1%
#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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
98.2%
#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))))))
98.1%
#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))))
98.2%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
Compiler

Compiled 2 664 to 1 312 computations (50.8% saved)

sample1.0ms (0.0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/2
1/6
-1/6
1/3
-1
2
(* (PI) 1/2)
(PI)
1/2
Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal -1 binary64)
#s(literal 2 binary64)
#s(literal 884279719003555/562949953421312 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 1/2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series121.0ms (1.8%)

Memory
43.2MiB live, 133.6MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126416022
Stop Event
iter-limit
Counts
63 → 262
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
x
#s(literal 1 binary64)
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))
(-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal -1/6 binary64)
(neg.f64 eps)
eps
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 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))))
(*.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) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))))
(*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))
#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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))
(+.f64 x (*.f64 #s(literal 1/3 binary64) eps))
(*.f64 #s(literal 1/3 binary64) 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(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)
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(approx (+ (* (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
#s(approx (+ (* (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 x (+.f64 eps (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 3 binary64)))) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 x (+.f64 eps (fma.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 3 binary64))))) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 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 (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 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 #s(literal 4/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
#s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 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 (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) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (*.f64 #s(literal 1/3 binary64) eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (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 (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (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 (+ (* (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 (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) eps (*.f64 #s(literal 17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 17/9 binary64) eps)))))))
#s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64))
#s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (-.f64 (*.f64 #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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) #s(literal -1/2 binary64))
#s(approx (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (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)) (* (* (tan x) (tan x)) 1/6)) (-.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)) (* (* (tan x) (tan x)) 1/6)) (-.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)) (* (* (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 -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)) 1/6) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (tan x) (tan x)) 1/6) (*.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 (* (* (tan x) (tan x)) 1/6) (*.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 (* (* (tan x) (tan x)) 1/6) (*.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)) eps) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (* (tan x) (tan x)) 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 (* (* (tan x) (tan x)) 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))))))
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#s(approx (pow (sin x) 2) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
#s(approx (sin x) (sin.f64 x))
#s(approx (pow (cos x) 2) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
#s(approx (cos x) (cos.f64 x))
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#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x)))
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#s(approx (- (neg x) eps) (-.f64 (*.f64 #s(literal -1 binary64) eps) x))
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#s(approx (* (cos eps) (sin x)) (+.f64 (sin.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
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#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
#s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 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)))))))
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#s(approx (+ (* (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) eps) (* (* (tan x) (tan x)) eps)) (*.f64 (pow.f64 eps #s(literal 3 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 (/.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 (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 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)))))))
#s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) 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 (*.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))))))
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#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
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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 (pow.f64 eps #s(literal 3 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 (*.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))))))
#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 (pow.f64 eps #s(literal 3 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 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (*.f64 eps (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.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))))))))
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#s(approx (cos eps) (cos.f64 eps))
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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)))))
#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)) (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 (-.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)) eps)))))
#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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (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)))))) (*.f64 eps (cos.f64 x))) (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(approx (+ x (* 1/3 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/3 binary64)))))
#s(approx (- (+ (/ (* (sin eps) (cos x)) (sin (+ (- (neg x) eps) (* (PI) 1/2)))) (/ (* (cos eps) (sin x)) (sin (+ (- (neg x) eps) (* (PI) 1/2))))) (tan x)) (-.f64 (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (+ (/ (* (sin eps) (cos x)) (sin (+ (- (neg x) eps) (* (PI) 1/2)))) (/ (* (cos eps) (sin x)) (sin (+ (- (neg x) eps) (* (PI) 1/2))))) (+.f64 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)))))
#s(approx (/ (* (sin eps) (cos x)) (sin (+ (- (neg x) eps) (* (PI) 1/2)))) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))))
#s(approx (sin (+ (- (neg x) eps) (* (PI) 1/2))) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)))
#s(approx (+ (- (neg x) eps) (* (PI) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) x) eps))))))
#s(approx (- (neg x) eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))))
#s(approx (/ (* (cos eps) (sin x)) (sin (+ (- (neg x) eps) (* (PI) 1/2)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (-.f64 (fma.f64 #s(literal -1 binary64) eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x))))
Calls

6 calls:

TimeVariablePoint
13.0ms
eps
0
13.0ms
x
inf
11.0ms
x
-inf
9.0ms
eps
-inf
8.0ms
eps
inf

rewrite211.0ms (3.1%)

Memory
-30.4MiB live, 183.0MiB allocated; 126ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881231
01461123
1779776
04088738
Stop Event
iter-limit
node-limit
iter-limit
Counts
63 → 1 152
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps))
(fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
x
#s(literal 1 binary64)
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))
(-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal -1/6 binary64)
(neg.f64 eps)
eps
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 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))))
(*.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) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
(tan.f64 (+.f64 x eps))
(+.f64 x eps)
#s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))))
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))))
(*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))
#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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))
(+.f64 x (*.f64 #s(literal 1/3 binary64) eps))
(*.f64 #s(literal 1/3 binary64) 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(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)
#s(literal 2 binary64)
(pow.f64 (cos.f64 x) #s(literal 2 binary64))
(cos.f64 x)
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 x))
(+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(-.f64 (neg.f64 x) eps)
(neg.f64 x)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cos.f64 eps)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps))
(*.f64 eps (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)) (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps))) (-.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps)) (*.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))) (+.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps)) (*.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (fma.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps)) (*.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps))) (-.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (-.f64 (*.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)) (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) eps)))))
(neg.f64 (-.f64 (*.f64 (neg.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps #s(literal 1 binary64)) eps)))
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(/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (-.f64 (neg.f64 x) eps) (-.f64 (neg.f64 x) eps) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (-.f64 (neg.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (-.f64 (neg.f64 x) eps)))
(neg.f64 (-.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (neg.f64 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)) (-.f64 (neg.f64 x) eps))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (-.f64 (neg.f64 x) eps))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (neg.f64 x) eps))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (-.f64 (neg.f64 x) eps))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (-.f64 (neg.f64 x) eps))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) eps)
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))
(-.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal -1/2 binary64)))
(-.f64 (neg.f64 x) (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 x)) (neg.f64 eps))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (neg.f64 x) eps))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64)))
(+.f64 (-.f64 (neg.f64 x) eps) (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (neg.f64 x) (+.f64 (neg.f64 eps) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(+.f64 (neg.f64 x) (-.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (neg.f64 x) (neg.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) (neg.f64 x))) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 eps (neg.f64 x))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (neg.f64 x) (neg.f64 eps)))
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (neg.f64 x) (neg.f64 eps)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 (neg.f64 x) eps))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (*.f64 x x) (fma.f64 eps eps (*.f64 (neg.f64 x) eps))))
(neg.f64 (+.f64 eps x))
(fma.f64 #s(literal -1 binary64) eps (neg.f64 x))
(fma.f64 eps #s(literal -1 binary64) (neg.f64 x))
(-.f64 (neg.f64 x) (neg.f64 (neg.f64 eps)))
(-.f64 (neg.f64 x) eps)
(+.f64 (neg.f64 x) (neg.f64 eps))
(+.f64 (neg.f64 eps) (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (PI.f64) (PI.f64)))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (PI.f64)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) #s(literal 1/2 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 eps))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))))
(*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(*.f64 (cos.f64 eps) (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)))))
(*.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 eps)) (sin.f64 x)) (cos.f64 (+.f64 eps x))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x)) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps) x))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))) (cos.f64 (+.f64 x (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 x (fabs.f64 eps))) (sin.f64 (+.f64 x (fabs.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 x (neg.f64 eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(sin.f64 (+.f64 (neg.f64 eps) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (+.f64 (fabs.f64 eps) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) eps))
(fma.f64 (sin.f64 eps) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))
(cos.f64 (neg.f64 (fabs.f64 eps)))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (fabs.f64 (fabs.f64 eps)))
(cos.f64 (fabs.f64 eps))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))

eval247.0ms (3.6%)

Memory
-4.0MiB live, 312.7MiB allocated; 65ms collecting garbage
Compiler

Compiled 97 329 to 8 678 computations (91.1% saved)

prune45.0ms (0.7%)

Memory
35.2MiB live, 81.3MiB allocated; 7ms collecting garbage
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New1 295111 306
Fresh81422
Picked505
Done022
Total1 308271 335
Accuracy
100.0%
Counts
1 335 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.5%
(fma.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps 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) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))))))) (neg.f64 (tan.f64 x)))
4.2%
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
64.7%
(fma.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 eps x))) (-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (tan.f64 x)))
64.5%
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))))) (cos.f64 x)))
64.8%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (tan.f64 x))
64.8%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (tan.f64 x))
7.2%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 (+.f64 (PI.f64) x)) (neg.f64 (cos.f64 x))))
64.3%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
64.5%
(-.f64 (+.f64 (/.f64 (*.f64 #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
99.2%
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
4.2%
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
7.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
64.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
98.1%
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
98.8%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (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 #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps x)) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
98.2%
#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)))))))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
98.0%
#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 eps x))))))
98.1%
#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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
98.2%
#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))))))
98.2%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
98.1%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
Compiler

Compiled 2 534 to 1 252 computations (50.6% saved)

sample0.0ms (0.0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
-1/2
1/6
-1/6
2
-2/3
(PI)
Outputs
#s(literal 1 binary64)
#s(literal -1/2 binary64)
#s(literal 6004799503160661/36028797018963968 binary64)
#s(literal -6004799503160661/36028797018963968 binary64)
#s(literal 2 binary64)
#s(literal -6004799503160661/9007199254740992 binary64)
#s(literal 884279719003555/281474976710656 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 9 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series145.0ms (2.1%)

Memory
-36.2MiB live, 155.0MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0132910951
Stop Event
iter-limit
Counts
53 → 255
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
(*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64)))
eps
(+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x)))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
x
#s(literal 1 binary64)
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))
(-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal -1/6 binary64)
(neg.f64 eps)
#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)) (*.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)))))))
(*.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))))))
(-.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 (* -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))))
(*.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)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -2/3 binary64)
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))
(neg.f64 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
(neg.f64 (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 x)
(sin.f64 eps)
(fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(cos.f64 eps)
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(sin.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 (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))
#s(approx (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (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 (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (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 (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (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 (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) 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 (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) 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 (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) 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 (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) 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 (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x)))
#s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (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) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (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) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (*.f64 #s(literal 1/3 binary64) eps))
#s(approx (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))
#s(approx (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (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 (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (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 (+ (* (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 (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 #s(literal 4/3 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) eps (*.f64 #s(literal 17/9 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps)) (fma.f64 #s(literal 1/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 4/3 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 248/135 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 17/9 binary64) eps)))))))
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#s(approx (/ (sin x) (cos (+ eps x))) (/.f64 x (cos.f64 eps)))
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#s(approx (sin x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (*.f64 (pow.f64 eps #s(literal 3 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 (*.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 (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (*.f64 (pow.f64 eps #s(literal 3 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 (/.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 (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 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)))))))
#s(approx (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) 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 (*.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 (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) 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 (/.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 (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.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 (/.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 (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (*.f64 eps (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 (*.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 (+ (+ (PI) x) eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 x eps) (/.f64 (PI.f64) eps)))))
#s(approx (+ eps x) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
#s(approx (sin eps) (sin.f64 eps))
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.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 (* eps (+ (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) 1)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1/6 binary64) (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 #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) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) 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 (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) eps)))))
#s(approx (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) (*.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 (+ (* (sin (+ (+ (PI) x) eps)) (/ 1 (neg (cos (+ eps x))))) (neg (tan x))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (-.f64 (+.f64 x (PI.f64)) (*.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 (sin (+ (+ (PI) x) eps)) (sin.f64 (-.f64 (+.f64 x (PI.f64)) (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ (+ (PI) x) eps) (*.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 (neg (cos (+ eps x)))) (/.f64 #s(literal -1 binary64) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (neg (cos (+ eps x))) (*.f64 #s(literal -1 binary64) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))
#s(approx (+ eps x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64)))))
#s(approx (- (* (/ (cos x) (cos (+ eps x))) (sin eps)) (+ (* (cos eps) (neg (/ (sin x) (cos (+ eps x))))) (tan x))) (-.f64 (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x)))))
#s(approx (* (/ (cos x) (cos (+ eps x))) (sin eps)) (/.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (/ (cos x) (cos (+ eps x))) (/.f64 (cos.f64 x) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
#s(approx (+ (* (cos eps) (neg (/ (sin x) (cos (+ eps x))))) (tan x)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (sin.f64 x) (cos.f64 x))))
#s(approx (neg (/ (sin x) (cos (+ eps x)))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))))
#s(approx (/ (sin x) (cos (+ eps x))) (/.f64 (sin.f64 x) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))))
Calls

6 calls:

TimeVariablePoint
29.0ms
x
0
12.0ms
eps
0
9.0ms
x
inf
9.0ms
x
-inf
8.0ms
eps
-inf

rewrite196.0ms (2.9%)

Memory
15.9MiB live, 262.2MiB allocated; 47ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066713
0112681
1587602
22619602
04885576
Stop Event
iter-limit
node-limit
iter-limit
Counts
53 → 765
Calls
Call 1
Inputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
(*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64)))
eps
(+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x)))
(fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps)))
(fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))
(tan.f64 x)
x
#s(literal 1 binary64)
(*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))
(-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64))
(-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64)))
#s(literal -1/2 binary64)
(*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))
(*.f64 (tan.f64 x) (tan.f64 x))
#s(literal 1/6 binary64)
(*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))
#s(literal -1/6 binary64)
(neg.f64 eps)
#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)) (*.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)))))))
(*.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))))))
(-.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 (* -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))))
(*.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)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -2/3 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal -2/3 binary64)
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(sin.f64 (+.f64 (+.f64 (PI.f64) x) eps))
(+.f64 (+.f64 (PI.f64) x) eps)
(+.f64 (PI.f64) x)
(PI.f64)
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x))))
(neg.f64 (cos.f64 (+.f64 eps x)))
(cos.f64 (+.f64 eps x))
(+.f64 eps x)
(neg.f64 (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
(*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps))
(/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(cos.f64 x)
(sin.f64 eps)
(fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(cos.f64 eps)
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(sin.f64 x)
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps))
(*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps)
(*.f64 eps (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps)) (*.f64 eps eps)) (-.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) (-.f64 (*.f64 eps eps) (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps) eps))))
(fma.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps))
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps)
(fma.f64 eps (*.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) eps))
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(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (cos.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 (cos.f64 (+.f64 eps x)))))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 eps x))))
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 x)))
(cos.f64 (fabs.f64 (fabs.f64 x)))
(cos.f64 (neg.f64 (neg.f64 x)))
(cos.f64 (fabs.f64 x))
(cos.f64 (neg.f64 x))
(cos.f64 x)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(sin.f64 eps)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (tan.f64 x))) (tan.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))
(/.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (cos.f64 x) (sin.f64 x)) (cos.f64 x))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))) (-.f64 (tan.f64 x) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (+.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (tan.f64 x)))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (*.f64 (tan.f64 x) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (tan.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (neg.f64 (tan.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (tan.f64 x)))))
(neg.f64 (neg.f64 (-.f64 (tan.f64 x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))))
(fma.f64 (neg.f64 (cos.f64 eps)) (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(fma.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (neg.f64 (tan.f64 x)))
(-.f64 (tan.f64 x) (*.f64 (neg.f64 (cos.f64 eps)) (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)))))
(-.f64 (tan.f64 x) (neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps))))
(-.f64 (tan.f64 x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))
(+.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)) (tan.f64 x))
(+.f64 (tan.f64 x) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))) (cos.f64 eps)))
(sin.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))
(fma.f64 (sin.f64 eps) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(cos.f64 (neg.f64 (fabs.f64 eps)))
(cos.f64 (neg.f64 (neg.f64 eps)))
(cos.f64 (fabs.f64 (fabs.f64 eps)))
(cos.f64 (fabs.f64 eps))
(cos.f64 (neg.f64 eps))
(cos.f64 eps)
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x)))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (sin.f64 x)))
(neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 (+.f64 eps x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 (+.f64 eps x))))
(/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 eps x)) (sin.f64 x)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (cos.f64 (+.f64 eps x))))
(sin.f64 x)

eval206.0ms (3.0%)

Memory
19.7MiB live, 294.3MiB allocated; 38ms collecting garbage
Compiler

Compiled 59 467 to 7 282 computations (87.8% saved)

prune58.0ms (0.8%)

Memory
-21.0MiB live, 77.3MiB allocated; 8ms collecting garbage
Pruning

28 alts after pruning (24 fresh and 4 done)

PrunedKeptTotal
New1 064151 079
Fresh11920
Picked325
Done022
Total1 078281 106
Accuracy
100.0%
Counts
1 106 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(fma.f64 (fma.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
4.2%
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 (+.f64 eps x) (PI.f64))) (neg.f64 (tan.f64 x)))
7.0%
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 (neg.f64 (+.f64 (PI.f64) x))))
4.3%
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 x) eps) (PI.f64)))) (neg.f64 (tan.f64 x)))
3.8%
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) #s(approx (neg (cos (+ eps x))) (-.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
64.7%
(-.f64 (fma.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (tan.f64 x))
64.8%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (tan.f64 x))
64.8%
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (tan.f64 x))
99.3%
(-.f64 (*.f64 (/.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps))))) (tan.f64 x)))
99.2%
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
99.0%
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
4.2%
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x))
7.2%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x)))
64.6%
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
98.1%
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps)))
98.2%
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
98.8%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (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 #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps x)) eps (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) eps))
99.4%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) eps))
98.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
98.3%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
99.2%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
98.0%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
98.1%
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
98.1%
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) eps))
Compiler

Compiled 1 201 to 617 computations (48.6% saved)

regimes310.0ms (4.5%)

Memory
20.3MiB live, 442.3MiB allocated; 78ms collecting garbage
Counts
2 → 1
3 → 1
4 → 1
10 → 1
14 → 1
16 → 1
19 → 1
31 → 1
32 → 1
41 → 1
47 → 1
61 → 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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) 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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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 (- (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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
#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))))))))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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 (- (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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
#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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
(-.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)))))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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 (- (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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
#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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
(-.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 (fma.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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps 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 (sin.f64 eps) (cos.f64 eps)))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps x)) 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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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 (- (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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
#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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
(-.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 (fma.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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps 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 (sin.f64 eps) (cos.f64 eps)))
(-.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 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 (+.f64 eps x) (PI.f64))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 x) eps) (PI.f64)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 (neg.f64 (+.f64 (PI.f64) x))))
(fma.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps 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) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))))))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) #s(approx (neg (cos (+ eps x))) (-.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (tan.f64 x) (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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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 (- (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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
#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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
(-.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 (fma.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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps 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 (sin.f64 eps) (cos.f64 eps)))
(-.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 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 (+.f64 eps x) (PI.f64))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 x) eps) (PI.f64)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 (neg.f64 (+.f64 (PI.f64) x))))
(fma.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps 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) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))))))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) #s(approx (neg (cos (+ eps x))) (-.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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 (- (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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
#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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
(-.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 (fma.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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps 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 (sin.f64 eps) (cos.f64 eps)))
(-.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 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 (+.f64 eps x) (PI.f64))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 x) eps) (PI.f64)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 (neg.f64 (+.f64 (PI.f64) x))))
(fma.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps 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) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))))))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) #s(approx (neg (cos (+ eps x))) (-.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(-.f64 (+.f64 (/.f64 #s(approx (* (sin eps) (cos x)) (*.f64 eps (cos.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (*.f64 #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 eps x))) (-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (tan.f64 x)))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
Outputs
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) 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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))) #s(literal 1 binary64))))
#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 eps x))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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 (- (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)))))))
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x)))
#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 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) eps))))) #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)))))))
(-.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 (fma.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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (fma.f64 #s(literal 1/3 binary64) eps 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 (sin.f64 eps) (cos.f64 eps)))
(-.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 (PI.f64) x) eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.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)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 eps x))) (sin.f64 (+.f64 (+.f64 eps x) (PI.f64))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps #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)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) 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)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (-.f64 (neg.f64 x) eps) (PI.f64)))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (tan.f64 (neg.f64 (+.f64 (PI.f64) x))))
(fma.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps 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) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x))))))) (neg.f64 (tan.f64 x)))
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) #s(approx (neg (cos (+ eps x))) (-.f64 (*.f64 eps (+.f64 (sin.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x))))) (cos.f64 x)))) (neg.f64 (tan.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 #s(approx (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) #s(literal -1/3 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
(fma.f64 (fma.f64 (sin.f64 eps) (neg.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 eps x)))) (neg.f64 (tan.f64 x)))
(-.f64 (+.f64 (/.f64 #s(approx (* (sin eps) (cos x)) (*.f64 eps (cos.f64 x))) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 #s(approx (cos eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (+.f64 (/.f64 (*.f64 #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) #s(approx (sin eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (*.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x))) (cos.f64 eps))) (tan.f64 x))
(fma.f64 (sin.f64 x) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 eps x))) (-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (tan.f64 x)))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (cos.f64 (+.f64 eps x))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (cos.f64 (+.f64 eps x)))) (tan.f64 x))
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (tan.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))))) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 eps x)))))) (cos.f64 x)))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) (/.f64 (sin.f64 (+.f64 (PI.f64) x)) (neg.f64 (cos.f64 x))))
#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
(-.f64 (*.f64 (/.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (neg.f64 (/.f64 (sin.f64 x) (cos.f64 (+.f64 eps x)))) (tan.f64 x)))
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 (-.f64 #s(literal 1 binary64) #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 eps (*.f64 (neg.f64 #s(approx (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -1 binary64)) x) x))) eps)))
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (+.f64 eps (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.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)) (*.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) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 #s(approx (+ (* (+ (* (+ (* (tan x) (tan x)) 1) (tan x)) (* (- (- (+ (* -1/2 (+ (* (tan x) (tan x)) 1)) (* (* (tan x) (tan x)) 1/6)) (* (+ (* (tan x) (tan x)) 1) (* (tan x) (tan x)))) -1/6) (neg eps))) eps) (* (tan x) (tan x))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64))))
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(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 (neg.f64 x)) (cos.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (tan.f64 x))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64))) eps))
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (+.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps (*.f64 (tan.f64 x) (tan.f64 x))) #s(literal 1 binary64))))
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 (fma.f64 (fma.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (tan.f64 x) (*.f64 (-.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 (tan.f64 x) (tan.f64 x) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (tan.f64 x)))) #s(literal -1/6 binary64)) (neg.f64 eps))) eps #s(literal 1 binary64)) eps (*.f64 (*.f64 (tan.f64 x) (tan.f64 x)) eps)))
(-.f64 (+.f64 (/.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x)))) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))) (*.f64 (cos.f64 eps) (cos.f64 x))))) (tan.f64 x))
#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)) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1/6 binary64) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))) eps (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)) (tan.f64 x))) eps (pow.f64 (tan.f64 x) #s(literal 2 binary64))) eps eps))
Calls

36 calls:

21.0ms
eps
20.0ms
eps
17.0ms
x
16.0ms
eps
16.0ms
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
Results
AccuracySegmentsBranch
98.1%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.1%1x
98.1%1eps
98.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.2%1x
98.2%1eps
98.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.2%1x
98.2%1eps
98.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.2%1x
98.2%1eps
98.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.3%1x
98.3%1eps
98.3%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.3%1x
98.3%1eps
98.6%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.6%1x
98.6%1eps
98.8%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
98.8%1x
98.8%1eps
99.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.2%1x
99.2%1eps
99.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.2%1x
99.2%1eps
99.2%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.2%1x
99.2%1eps
99.4%1(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
99.4%1x
99.4%1eps
Compiler

Compiled 2 970 to 547 computations (81.6% saved)

derivations152.0ms (2.2%)

Memory
8.3MiB live, 99.8MiB allocated; 5ms collecting garbage
Stop Event
fuel
Compiler

Compiled 696 to 132 computations (81.0% saved)

preprocess106.0ms (1.6%)

Memory
3.2MiB live, 188.8MiB allocated; 17ms collecting garbage
Compiler

Compiled 738 to 162 computations (78.0% saved)

end0.0ms (0.0%)

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

Profiling

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