
Time bar (total: 7.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 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 |
Compiled 27 to 19 computations (29.6% saved)
| 1.8s | 25 918× | 0 | invalid |
| 705.0ms | 5 598× | 1 | valid |
| 184.0ms | 2 658× | 0 | valid |
ival-tan: 587.0ms (36.0% of total)ival-fabs: 257.0ms (15.8% of total)ival-mult!: 189.0ms (11.6% of total)adjust: 159.0ms (9.8% of total)ival-<: 139.0ms (8.5% of total)ival-add!: 129.0ms (7.9% of total)ival-sub!: 95.0ms (5.8% of total)ival-and: 62.0ms (3.8% of total)ival-assert: 13.0ms (0.8% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 46 |
| 1 | 84 | 42 |
| 2 | 432 | 42 |
| 3 | 3811 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.3% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
Compiled 14 to 12 computations (14.3% saved)
| Inputs |
|---|
| Outputs |
|---|
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 1190 |
| 1× | iter-limit |
| 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))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | x | -inf |
| 2.0ms | eps | 0 |
| 2.0ms | eps | inf |
| 2.0ms | x | 0 |
| 2.0ms | eps | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 60 | 18 |
| 2 | 252 | 18 |
| 3 | 1673 | 18 |
| 0 | 4602 | 18 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| 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) |
Compiled 3 087 to 559 computations (81.9% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 121 | 18 | 139 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 19 | 140 |
| Status | Accuracy | Program |
|---|---|---|
| 61.4% | (/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x))) | |
| 61.4% | (/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x)) | |
| ▶ | 35.8% | (/.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))) |
| ▶ | 61.4% | (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
| 61.3% | (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x)) | |
| 61.3% | (-.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)) | |
| ▶ | 5.9% | (-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x)) |
| 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) | |
| 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) | |
| 8.6% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x))) | |
| ✓ | 61.3% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| ▶ | 59.0% | (-.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))))))) |
| 8.6% | (-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x)) | |
| 96.9% | #s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) | |
| 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 98.6% | #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))))))) | |
| ▶ | 99.0% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
| 98.9% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) | |
| 97.8% | #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))))))) |
Compiled 1 231 to 538 computations (56.3% saved)
| Inputs |
|---|
1 |
-1 |
-1/2 |
2 |
1/6 |
1/3 |
(PI) |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal -1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 6004799503160661/36028797018963968 binary64) |
#s(literal 6004799503160661/18014398509481984 binary64) |
#s(literal 884279719003555/281474976710656 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 9 to 9 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1523 | 33900 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
eps |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) |
#s(literal 1 binary64) |
(*.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 (*.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 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) |
#s(literal -1 binary64) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) |
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(sin.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (cos.f64 x) #s(literal 2 binary64)) |
(cos.f64 x) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) |
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) |
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(-.f64 (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) |
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(sin.f64 (-.f64 (+.f64 eps x) x)) |
(-.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(cos.f64 (+.f64 eps x)) |
(/.f64 (-.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 (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 (+.f64 eps x))) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
#s(approx (- (tan (+ x eps)) (tan x)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))) |
#s(approx (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 17/9 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))))) |
#s(approx (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))))) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
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#s(approx (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/3 binary64) (*.f64 #s(literal 77/45 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 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 (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/9 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/135 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2/9 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) |
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 17/270 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 17/270 binary64) (*.f64 #s(literal 31/945 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.f64 x (-.f64 (*.f64 #s(literal -4/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -17/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64)))) |
#s(approx (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -248/315 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 17/15 binary64))) #s(literal 4/3 binary64))) #s(literal 1 binary64)))) |
#s(approx (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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 eps)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
#s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)) |
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))) |
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (cos.f64 eps))))))) |
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (*.f64 x (fma.f64 #s(literal -1 binary64) (cos.f64 eps) (*.f64 x (fma.f64 #s(literal 1/6 binary64) (sin.f64 eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 eps)))))))))) |
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 eps))) (sin.f64 eps))))) |
#s(approx (cos (+ eps x)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 eps) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 eps))))) (sin.f64 eps))))) |
#s(approx (/ (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (+ (tan (+ eps x)) (tan x))) (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 #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))))))) #s(literal 2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (/ (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (+ (tan (+ eps x)) (tan x))) (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #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))))) (*.f64 x (-.f64 (/.f64 (*.f64 (cos.f64 eps) (-.f64 (fma.f64 #s(literal 2 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))) (pow.f64 (-.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))))) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 eps)) (+.f64 (/.f64 (*.f64 (cos.f64 eps) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (*.f64 #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))))))) #s(literal 2 binary64)))) (sin.f64 eps)) (/.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))))))) #s(literal 2 binary64)) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (/ (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (+ (tan (+ eps x)) (tan x))) (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #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))))) (*.f64 x (-.f64 (fma.f64 x (-.f64 (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))))) 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#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) |
#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (fma.f64 #s(literal 2 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 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (fma.f64 x (fma.f64 #s(literal 2 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 x (-.f64 (fma.f64 #s(literal 2 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))) (pow.f64 (-.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))))) #s(literal 2 binary64))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (fma.f64 x (fma.f64 #s(literal 2 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 x (-.f64 (fma.f64 #s(literal 2 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 x (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 eps) (+.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)))))))) (cos.f64 eps)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 (-.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))))) #s(literal 2 binary64))) (cos.f64 eps)))) (pow.f64 (-.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))))) #s(literal 2 binary64)))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
#s(approx (* (tan (+ eps x)) (tan (+ eps x))) (fma.f64 x (fma.f64 #s(literal 2 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 x (fma.f64 #s(literal 2 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))) (pow.f64 (-.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))))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
#s(approx (* (tan (+ eps x)) (tan (+ eps x))) (fma.f64 x (fma.f64 #s(literal 2 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 x (fma.f64 #s(literal 2 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 x (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 eps) (+.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)))))))) (cos.f64 eps)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 eps) (pow.f64 (-.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))))) #s(literal 2 binary64))) (cos.f64 eps)))) (pow.f64 (-.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))))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) |
#s(approx (+ (tan (+ eps x)) (tan x)) (fma.f64 x (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (+ (tan (+ eps x)) (tan x)) (fma.f64 x (-.f64 (+.f64 #s(literal 2 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)))) |
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#s(approx (cos x) (cos.f64 x)) |
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#s(approx (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))) (+.f64 #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 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 #s(literal -1 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))))))) |
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#s(approx (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (*.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))))))) |
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#s(approx (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))) (*.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 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (*.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(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 (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
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#s(approx (tan (+ (+ (PI) x) eps)) (/.f64 (sin.f64 (+.f64 eps (+.f64 x (PI.f64)))) (cos.f64 (+.f64 eps (+.f64 x (PI.f64)))))) |
#s(approx (+ (+ (PI) x) eps) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 eps x) (/.f64 (PI.f64) x))))) |
#s(approx (+ (PI) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 eps x))) |
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#s(approx (* (tan (+ eps x)) (tan (+ eps x))) (/.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 2 binary64)))) |
#s(approx (+ (tan (+ eps x)) (tan x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps 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))))) |
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#s(approx (tan (+ (+ (PI) x) eps)) (/.f64 (sin.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 (+.f64 eps (PI.f64)) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (+ (PI) x) eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (PI.f64)) x)) #s(literal 1 binary64))))) |
#s(approx (+ (PI) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))))) |
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (cos (+ eps x)) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) |
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#s(approx (- (tan (+ (+ (PI) x) eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
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#s(approx (tan (+ (+ (PI) x) eps)) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64))))) |
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#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
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x) (*.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))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (fma.f64 #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))) (pow.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))))) #s(literal 2 binary64)))) (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.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))))) #s(literal 2 binary64))) (sin.f64 x)))))) (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) (pow.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))))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (cos.f64 x) (pow.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))))) #s(literal 2 binary64))) (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))))))) |
#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (*.f64 #s(literal 2 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)))) |
#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (fma.f64 #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))) (pow.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))))) #s(literal 2 binary64))))))) |
#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (fma.f64 #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))) (fma.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (pow.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))))) #s(literal 2 binary64))) (cos.f64 x)))) (pow.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))))) #s(literal 2 binary64)))))))) |
#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (fma.f64 #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))) (fma.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (pow.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))))) #s(literal 2 binary64))) (cos.f64 x)) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 (+.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 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))) (cos.f64 x)) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.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))))) #s(literal 2 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (pow.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))))) #s(literal 2 binary64)))))))) |
#s(approx (* (tan (+ eps x)) (tan (+ eps x))) (fma.f64 #s(literal 2 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 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
#s(approx (* (tan (+ eps x)) (tan (+ eps x))) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (fma.f64 #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))) (pow.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))))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
#s(approx (* (tan (+ eps x)) (tan (+ eps x))) (fma.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (fma.f64 #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))) (fma.f64 eps (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (pow.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))))) #s(literal 2 binary64))) (cos.f64 x)))) (pow.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))))) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
#s(approx (+ (tan (+ eps x)) (tan x)) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) (cos.f64 x)))) |
#s(approx (+ (tan (+ eps x)) (tan x)) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 x) (cos.f64 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)))))))) |
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#s(approx (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (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 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #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 eps #s(literal 2 binary64)) (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)))))) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 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) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) eps)))))))) |
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#s(approx (+ x eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) |
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#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
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#s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (-.f64 (/.f64 (pow.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
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6 calls:
| Time | Variable | Point |
|---|---|---|
| 21.0ms | x | -inf |
| 19.0ms | eps | 0 |
| 19.0ms | x | inf |
| 17.0ms | x | 0 |
| 14.0ms | eps | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 2467 |
| 0 | 126 | 2349 |
| 1 | 730 | 1277 |
| 2 | 3763 | 1277 |
| 0 | 4926 | 1232 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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eps |
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#s(literal 1 binary64) |
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(*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) |
(-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) |
(*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) |
#s(literal -1 binary64) |
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))) |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) |
(*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(sin.f64 x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sin.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (cos.f64 x) #s(literal 2 binary64)) |
(cos.f64 x) |
(fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x))) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)) |
(*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) |
(+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))) |
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
(-.f64 (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) |
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(sin.f64 (-.f64 (+.f64 eps x) x)) |
(-.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(cos.f64 (+.f64 eps x)) |
(/.f64 (-.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 (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 (+.f64 eps x))) |
(tan.f64 (+.f64 eps x)) |
(*.f64 (tan.f64 x) (tan.f64 x)) |
(+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/6 binary64)) (tan.f64 x) (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/6 binary64)))) eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (tan.f64 x))) eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps)) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/6 binary64)) (tan.f64 x) (*.f64 (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (tan.f64 x)) #s(literal -1/3 binary64))) eps (-.f64 (-.f64 (fma.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/6 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))) #s(literal -1/6 binary64)))) eps (*.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (tan.f64 x))) eps (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) eps) |
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#s(literal 1 binary64) |
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(sin.f64 x) |
x |
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(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (PI.f64) x) eps))) (neg.f64 (neg.f64 (tan.f64 x)))) |
(fma.f64 (sin.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 (+.f64 (PI.f64) x) eps))) (tan.f64 x)) |
(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (neg.f64 (neg.f64 (tan.f64 x)))) |
(fma.f64 (sin.f64 (+.f64 eps x)) (/.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (tan.f64 x)) |
(fma.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)) (tan.f64 (+.f64 eps x))) |
(-.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (tan.f64 x))) |
(-.f64 (tan.f64 x) (neg.f64 (tan.f64 (+.f64 eps x)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (neg.f64 (tan.f64 x)))) |
(+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x)) |
(+.f64 (tan.f64 x) (tan.f64 (+.f64 eps x))) |
Compiled 204 626 to 15 497 computations (92.4% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 378 | 16 | 1 394 |
| Fresh | 7 | 6 | 13 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 390 | 23 | 1 413 |
| Status | Accuracy | Program |
|---|---|---|
| 23.4% | (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| 35.8% | (/.f64 (sin.f64 (/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) (+.f64 (+.f64 eps x) x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| 52.6% | (/.f64 #s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (fma.f64 #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))) (pow.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))))) #s(literal 2 binary64))))))) (+.f64 (tan.f64 (+.f64 eps x)) (tan.f64 x))) | |
| 99.4% | (/.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| 99.1% | (/.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| ▶ | 99.8% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
| 61.3% | (-.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)) | |
| ▶ | 3.8% | (-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
| ▶ | 9.0% | (-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x))) |
| 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) | |
| 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) | |
| 8.6% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x))) | |
| ✓ | 61.3% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 59.1% | (-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x x))) | |
| 8.6% | (-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x)) | |
| ▶ | 99.8% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64)) |
| 99.8% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 97.8% | #s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) | |
| 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) | |
| 96.9% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) | |
| 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) | |
| ▶ | 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
| 96.9% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
Compiled 2 709 to 970 computations (64.2% saved)
| Inputs |
|---|
1 |
1/3 |
2 |
(PI) |
0 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal 6004799503160661/18014398509481984 binary64) |
#s(literal 2 binary64) |
#s(literal 884279719003555/281474976710656 binary64) |
#s(literal 0 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 7 to 7 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1254 | 17421 |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
(sin.f64 eps) |
eps |
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(cos.f64 (+.f64 eps x)) |
(+.f64 eps x) |
x |
(cos.f64 x) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
(*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 eps #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) |
(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)) |
(+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) |
(+.f64 (+.f64 (PI.f64) x) eps) |
(+.f64 (PI.f64) x) |
(PI.f64) |
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) |
(tan.f64 (+.f64 (PI.f64) x)) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64)) |
(/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) |
(sin.f64 (-.f64 eps #s(literal 0 binary64))) |
(-.f64 eps #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x))) |
(cos.f64 (-.f64 #s(literal 0 binary64) eps)) |
(-.f64 #s(literal 0 binary64) eps) |
(cos.f64 (+.f64 (+.f64 eps x) x)) |
(+.f64 (+.f64 eps x) x) |
| Outputs |
|---|
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos 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 (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (+.f64 (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (cos.f64 eps)) (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal 1/6 binary64) (sin.f64 eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 eps)))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
#s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps)) |
#s(approx (* (cos (+ eps x)) (cos x)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 eps))))) |
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#s(approx (+ eps x) eps) |
#s(approx (+ eps x) (+.f64 eps x)) |
#s(approx x x) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
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#s(approx (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan x)) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))) |
#s(approx (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))) |
#s(approx (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))) |
#s(approx (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))) |
#s(approx (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (+.f64 eps (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) |
#s(approx (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) |
#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 eps (*.f64 #s(literal 2 binary64) (PI.f64)))) |
#s(approx (+ (+ (+ (PI) x) eps) (PI)) (+.f64 eps (+.f64 x (*.f64 #s(literal 2 binary64) (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 (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 (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (-.f64 (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64)))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))) |
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))) |
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (PI.f64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 eps (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))) |
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (PI.f64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 eps (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 eps (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 eps (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 eps (PI.f64))) (cos.f64 (+.f64 eps (PI.f64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))) |
#s(approx (tan (+ (+ (PI) x) eps)) (/.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 (tan (+ (PI) x)) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64)))) |
#s(approx (tan (+ (PI) x)) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))) |
#s(approx (tan (+ (PI) x)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))))) (cos.f64 (PI.f64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))) |
#s(approx (tan (+ (PI) x)) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (PI.f64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64)))))) (cos.f64 (PI.f64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (PI.f64)) #s(literal 2 binary64))))) (/.f64 (sin.f64 (PI.f64)) (cos.f64 (PI.f64))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
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#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) |
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 #s(literal -2 binary64) (*.f64 x (sin.f64 eps)))))) |
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#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (cos.f64 eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (sin.f64 eps))))) (*.f64 #s(literal 2 binary64) (sin.f64 eps))))))) |
#s(approx (cos (+ (+ eps x) x)) (+.f64 (cos.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 x (sin.f64 eps))))) |
#s(approx (cos (+ (+ eps x) x)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 eps))) (*.f64 #s(literal 2 binary64) (sin.f64 eps)))))) |
#s(approx (cos (+ (+ eps x) x)) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (cos.f64 eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (sin.f64 eps))))) (*.f64 #s(literal 2 binary64) (sin.f64 eps)))))) |
#s(approx (+ (+ eps x) x) (+.f64 eps (*.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
#s(approx (* (cos (+ eps x)) (cos x)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
#s(approx (cos (+ eps x)) (cos.f64 (+.f64 eps x))) |
#s(approx (+ eps x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (cos x) (cos.f64 x)) |
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#s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
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#s(approx (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (/.f64 (sin.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))) |
#s(approx (+ (+ (+ (+ (PI) x) eps) (PI)) (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (+.f64 (/.f64 eps x) (/.f64 (PI.f64) x)))))) |
#s(approx (+ (+ (+ (PI) x) eps) (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x))))) |
#s(approx (+ (+ (PI) x) eps) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 eps x) (/.f64 (PI.f64) x))))) |
#s(approx (+ (PI) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) |
#s(approx (tan x) (/.f64 (sin.f64 x) (cos.f64 x))) |
#s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* x (+ 1 (* 1/3 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/3 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) x))) (-.f64 (/.f64 (sin.f64 (+.f64 eps (+.f64 x (PI.f64)))) (cos.f64 (+.f64 eps (+.f64 x (PI.f64))))) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64)))))) |
#s(approx (tan (+ (+ (PI) x) eps)) (/.f64 (sin.f64 (+.f64 eps (+.f64 x (PI.f64)))) (cos.f64 (+.f64 eps (+.f64 x (PI.f64)))))) |
#s(approx (tan (+ (PI) x)) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64))))) |
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#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) 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 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 x (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 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 x (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 x (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ (+ (PI) x) eps)) (tan (+ (PI) 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 (+.f64 x (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 x (PI.f64)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 x (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 x (PI.f64)))) (/.f64 (*.f64 (sin.f64 (+.f64 x (PI.f64))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 x (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 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))))) (cos.f64 (+.f64 x (PI.f64)))))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 x (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 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 x (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 x (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))))) |
#s(approx (tan (+ (+ (PI) x) eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64)))))) |
#s(approx (tan (+ (+ (PI) x) eps)) (fma.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 (+.f64 x (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 x (PI.f64))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64)))))) |
#s(approx (tan (+ (+ (PI) 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 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 x (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 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 x (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 x (PI.f64)))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 x (PI.f64))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 x (PI.f64))) (cos.f64 (+.f64 x (PI.f64)))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (*.f64 #s(literal 2 binary64) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (*.f64 eps (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (*.f64 eps (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (cos (- 0 eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (cos (- 0 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 (- 0 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 (- 0 eps) (*.f64 #s(literal -1 binary64) eps)) |
#s(approx (cos (+ (+ eps x) x)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
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#s(approx (cos (- 0 eps)) (cos.f64 (neg.f64 eps))) |
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#s(approx (cos (+ eps x)) (cos.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))) |
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#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) 2) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1 binary64) eps))) (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 (sin.f64 (neg.f64 (*.f64 #s(literal -1 binary64) eps))) (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) eps)) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))) |
#s(approx (cos (- 0 eps)) (cos.f64 (*.f64 #s(literal -1 binary64) eps))) |
#s(approx (cos (+ (+ eps x) x)) (cos.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) |
#s(approx (+ (+ eps x) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 551.0ms | eps | 0 |
| 34.0ms | eps | inf |
| 19.0ms | x | 0 |
| 16.0ms | x | inf |
| 12.0ms | x | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 901 |
| 0 | 118 | 836 |
| 1 | 836 | 574 |
| 0 | 4129 | 548 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
(sin.f64 eps) |
eps |
(*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x)) |
(cos.f64 (+.f64 eps x)) |
(+.f64 eps x) |
x |
(cos.f64 x) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
(*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))) |
#s(literal 1/3 binary64) |
(pow.f64 eps #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) |
(+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64)) |
(+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) |
(+.f64 (+.f64 (PI.f64) x) eps) |
(+.f64 (PI.f64) x) |
(PI.f64) |
#s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x))) |
(tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) |
(tan.f64 (+.f64 (PI.f64) x)) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64)) |
(/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) |
(sin.f64 (-.f64 eps #s(literal 0 binary64))) |
(-.f64 eps #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x))) |
(cos.f64 (-.f64 #s(literal 0 binary64) eps)) |
(-.f64 #s(literal 0 binary64) eps) |
(cos.f64 (+.f64 (+.f64 eps x) x)) |
(+.f64 (+.f64 eps x) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps))) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))) |
(*.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) |
(/.f64 (neg.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 x))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)))) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))) |
(/.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)))) |
(neg.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)))) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64)))) (*.f64 (sin.f64 eps) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x))) (*.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))) (sin.f64 eps)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (fma.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)))) |
(neg.f64 (neg.f64 (sin.f64 eps))) |
(sin.f64 eps) |
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x))) |
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))) |
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (neg.f64 x)))) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 eps)) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)))) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x))) |
(-.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 x)))) |
(+.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 x)) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 eps)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (neg.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
eps |
(*.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps)) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (-.f64 (neg.f64 x) (-.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (fabs.f64 (+.f64 x eps)))) (cos.f64 (-.f64 (neg.f64 x) (fabs.f64 (+.f64 x eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (+.f64 x eps))) (cos.f64 (+.f64 (+.f64 x eps) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (-.f64 (neg.f64 x) eps))) (cos.f64 (-.f64 (fabs.f64 x) (-.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (fabs.f64 (+.f64 x eps)))) (cos.f64 (-.f64 (fabs.f64 x) (fabs.f64 (+.f64 x eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (+.f64 x eps))) (cos.f64 (-.f64 (fabs.f64 x) (+.f64 x eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 x (fabs.f64 (+.f64 x eps)))) (cos.f64 (-.f64 x (fabs.f64 (+.f64 x eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (-.f64 (-.f64 (neg.f64 x) eps) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x))) (cos.f64 (-.f64 (-.f64 (neg.f64 x) eps) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (-.f64 (neg.f64 x) eps) x)) (cos.f64 (-.f64 (-.f64 (neg.f64 x) eps) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 x eps)) (neg.f64 x))) (cos.f64 (-.f64 (fabs.f64 (+.f64 x eps)) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 x eps)) (fabs.f64 x))) (cos.f64 (-.f64 (fabs.f64 (+.f64 x eps)) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 (+.f64 x eps)) x)) (cos.f64 (-.f64 (fabs.f64 (+.f64 x eps)) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) (fabs.f64 x))) (cos.f64 (-.f64 (+.f64 x eps) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 x) eps))) (sin.f64 (+.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 x) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (+.f64 x eps)))) (sin.f64 (+.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (+.f64 x eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 x eps))) (sin.f64 (+.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 x eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 x))) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) x))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps)) #s(literal 2 binary64)) |
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(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
eps |
#s(literal 0 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x)))) (cos.f64 (+.f64 (+.f64 x eps) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (+.f64 (+.f64 x eps) x))) (cos.f64 eps))) (cos.f64 eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps))) (cos.f64 eps)) |
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(/.f64 (+.f64 (pow.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (+.f64 (+.f64 x eps) x)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps))))) |
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(-.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (neg.f64 (cos.f64 eps))) |
(-.f64 (cos.f64 eps) (neg.f64 (cos.f64 (+.f64 (+.f64 x eps) x)))) |
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(+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps)) |
(+.f64 (cos.f64 eps) (cos.f64 (+.f64 (+.f64 x eps) x))) |
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(sin.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
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(fma.f64 (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps)) #s(literal 1/2 binary64) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) #s(literal 1 binary64) (*.f64 (sin.f64 eps) #s(literal 0 binary64))) |
(fma.f64 (cos.f64 x) (cos.f64 (+.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) |
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(fma.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) |
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(-.f64 (*.f64 #s(literal 1 binary64) (cos.f64 eps)) (neg.f64 (*.f64 #s(literal 0 binary64) (sin.f64 eps)))) |
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(cos.f64 (neg.f64 (fabs.f64 eps))) |
(cos.f64 (fabs.f64 (fabs.f64 eps))) |
(cos.f64 (fabs.f64 eps)) |
(cos.f64 (neg.f64 eps)) |
(cos.f64 eps) |
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(+.f64 (*.f64 (cos.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 0 binary64))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) #s(literal 0 binary64))) #s(literal 0 binary64)) |
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(*.f64 #s(literal -1 binary64) eps) |
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(neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps))) |
(neg.f64 eps) |
(fma.f64 #s(literal -1 binary64) eps #s(literal 0 binary64)) |
(fma.f64 eps #s(literal -1 binary64) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) eps) |
(-.f64 x (+.f64 x eps)) |
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(cos.f64 (+.f64 (+.f64 x eps) x)) |
(+.f64 (*.f64 (sin.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (neg.f64 x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x eps) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x x) eps)) eps) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (+.f64 x eps))) (+.f64 x eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x eps))) (+.f64 x eps)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x eps) (+.f64 x eps))) (neg.f64 eps)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x (+.f64 x eps))))) |
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x x) #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (+.f64 (*.f64 x x) (*.f64 (+.f64 x eps) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)) (+.f64 (+.f64 x eps) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)) (-.f64 (+.f64 x eps) x)) |
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (+.f64 x eps) x)))) |
(neg.f64 (neg.f64 (+.f64 (+.f64 x eps) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 eps) x)) x x) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) eps)) eps x) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 eps x)) x x) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x eps)) eps x) |
(-.f64 (+.f64 x eps) (neg.f64 x)) |
(-.f64 x (-.f64 (neg.f64 x) eps)) |
(-.f64 eps (neg.f64 (+.f64 x x))) |
(+.f64 (+.f64 x eps) (neg.f64 (neg.f64 x))) |
(+.f64 (+.f64 x eps) x) |
(+.f64 x (+.f64 x eps)) |
(+.f64 eps (+.f64 x x)) |
Compiled 46 198 to 4 280 computations (90.7% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 762 | 20 | 782 |
| Fresh | 7 | 10 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 772 | 33 | 805 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps))) | |
| 23.4% | (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| 99.1% | (/.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| 99.9% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) | |
| ▶ | 99.8% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))) |
| 99.8% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) | |
| ✓ | 99.8% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
| 96.9% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) | |
| 96.2% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) #s(literal 1 binary64)))) | |
| 96.4% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps))) | |
| 3.8% | (-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x))) | |
| ✓ | 9.0% | (-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x))) |
| ▶ | 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
| 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) | |
| 8.6% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x))) | |
| ✓ | 61.3% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 59.1% | (-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x x))) | |
| 99.8% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (sin.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64)) | |
| ▶ | 100.0% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))))) #s(literal 2 binary64)) |
| 99.8% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) | |
| 99.1% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) #s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 2 binary64)) | |
| 99.8% | (*.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) | |
| 97.8% | (*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) | |
| 98.6% | (*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))) #s(literal 2 binary64)) | |
| 97.8% | #s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) | |
| 5.9% | #s(approx (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) (/.f64 (sin.f64 x) (cos.f64 x)))) | |
| ▶ | 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
| 96.9% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) | |
| ▶ | 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
| 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))))))) | |
| 44.8% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))))) | |
| 44.8% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ 1 (* 1/3 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) | |
| 96.9% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
Compiled 4 405 to 1 568 computations (64.4% saved)
| Inputs |
|---|
0 |
2 |
1/3 |
1 |
2/3 |
(PI) |
(* (PI) 1/2) |
1/2 |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 2 binary64) |
#s(literal 6004799503160661/18014398509481984 binary64) |
#s(literal 1 binary64) |
#s(literal 6004799503160661/9007199254740992 binary64) |
#s(literal 884279719003555/281474976710656 binary64) |
#s(literal 884279719003555/562949953421312 binary64) |
#s(literal 1/2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 12 to 10 computations (16.7% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1254 | 17649 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))))) #s(literal 2 binary64)) |
(/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))))) |
(sin.f64 (-.f64 eps #s(literal 0 binary64))) |
(-.f64 eps #s(literal 0 binary64)) |
eps |
#s(literal 0 binary64) |
(+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x))))) |
(cos.f64 (-.f64 #s(literal 0 binary64) eps)) |
(-.f64 #s(literal 0 binary64) eps) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))) |
(*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) |
(cos.f64 eps) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x))) |
(sin.f64 eps) |
(sin.f64 (+.f64 x x)) |
#s(literal 2 binary64) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
(*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(*.f64 eps eps) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
(*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
(pow.f64 eps #s(literal 2 binary64)) |
(*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) |
#s(literal 2/3 binary64) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) |
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) |
(+.f64 (+.f64 (PI.f64) x) (PI.f64)) |
(+.f64 (PI.f64) x) |
(PI.f64) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
(*.f64 (sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)) |
(sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 x) |
| Outputs |
|---|
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) (*.f64 x (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))))) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (fma.f64 #s(literal 4/3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64)))))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))))))))) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps))) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 (cos.f64 eps) (cos.f64 (neg.f64 eps)))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 #s(literal -2 binary64) (*.f64 x (sin.f64 eps)))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 eps))) (*.f64 #s(literal 2 binary64) (sin.f64 eps))))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 (cos.f64 eps) (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (cos.f64 eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (sin.f64 eps))))) (*.f64 #s(literal 2 binary64) (sin.f64 eps))))))) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (cos.f64 eps)) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (+.f64 (cos.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 x (sin.f64 eps))))) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (cos.f64 eps))) (*.f64 #s(literal 2 binary64) (sin.f64 eps)))))) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (cos.f64 eps) (*.f64 #s(literal 4/3 binary64) (*.f64 x (sin.f64 eps))))) (*.f64 #s(literal 2 binary64) (sin.f64 eps)))))) |
#s(approx (* (cos eps) (cos (+ x x))) (+.f64 (cos.f64 eps) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps))))) |
#s(approx (* (cos eps) (cos (+ x x))) (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (cos.f64 eps) (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps))))))) |
#s(approx (* (cos eps) (cos (+ x x))) (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4/45 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (cos.f64 eps)) (*.f64 #s(literal 2/3 binary64) (cos.f64 eps)))))))) |
#s(approx (cos (+ x x)) #s(literal 1 binary64)) |
#s(approx (cos (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (cos (+ x x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))) |
#s(approx (cos (+ x 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 2/3 binary64) (*.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
#s(approx (+ x x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx x x) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 #s(literal 2 binary64) (*.f64 x (sin.f64 eps)))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 x (fma.f64 #s(literal -4/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)) (*.f64 #s(literal 2 binary64) (sin.f64 eps))))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 x (fma.f64 #s(literal 2 binary64) (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) (sin.f64 eps) (*.f64 #s(literal 4/15 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps)))))))) |
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#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
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#s(approx (* eps (* x (+ 1 (* 2/3 (pow eps 2))))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* 2/3 (pow eps 2)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
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#s(approx (- (tan (+ x eps)) (tan (+ (+ (+ (PI) x) (PI)) (PI)))) (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
#s(approx (- (tan (+ x eps)) (tan (+ (+ (+ (PI) x) (PI)) (PI)))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
#s(approx (- (tan (+ x eps)) (tan (+ (+ (+ (PI) x) (PI)) (PI)))) (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (cos.f64 eps)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
#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 (+ (+ (+ (PI) x) (PI)) (PI))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) |
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) (fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) (fma.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)))))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 (sin.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) (cos.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
#s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))) |
#s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) |
#s(approx (+ (+ (PI) x) (PI)) (*.f64 #s(literal 2 binary64) (PI.f64))) |
#s(approx (+ (+ (PI) x) (PI)) (+.f64 x (*.f64 #s(literal 2 binary64) (PI.f64)))) |
#s(approx (+ (PI) x) (PI.f64)) |
#s(approx (+ (PI) x) (+.f64 x (PI.f64))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps))) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (fma.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) (/.f64 (*.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (fma.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))))) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (+.f64 (/.f64 (*.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 eps) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))))))) (/.f64 (*.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (sin.f64 eps)) (pow.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) |
#s(approx (+ (+ x eps) (* (PI) 1/2)) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (+ (+ x eps) (* (PI) 1/2)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#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 (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (-.f64 (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 (sin.f64 eps) (-.f64 (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (-.f64 (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (* (cos eps) (cos (+ x x))) (*.f64 (cos.f64 eps) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (cos (+ x x)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (sin (+ x x)) (sin.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
#s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) |
#s(approx (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
#s(approx (- (tan (+ x eps)) (tan (+ (+ (+ (PI) x) (PI)) (PI)))) (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (/.f64 (sin.f64 (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))))) |
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x)))) |
#s(approx (+ x eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))) |
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) (/.f64 (sin.f64 (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))) (cos.f64 (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) |
#s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x) (/.f64 (PI.f64) x))))) |
#s(approx (+ (+ (PI) x) (PI)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (PI.f64) x))))) |
#s(approx (+ (PI) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (PI.f64) x)))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (sin.f64 (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
#s(approx (+ (+ x eps) (* (PI) 1/2)) (*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (PI.f64) x) (/.f64 eps x))))) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (-.f64 (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 (sin.f64 eps) (-.f64 (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (-.f64 (+.f64 (cos.f64 (neg.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))))) |
#s(approx (* (cos eps) (cos (+ x x))) (*.f64 (cos.f64 eps) (cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))) |
#s(approx (cos (+ x x)) (cos.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))))) |
#s(approx (sin (+ x x)) (sin.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
#s(approx (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)))))) |
#s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))) |
#s(approx (- (tan (+ x eps)) (tan (+ (+ (+ (PI) x) (PI)) (PI)))) (-.f64 (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))) (/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x)))))) |
#s(approx (tan (+ x eps)) (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ x eps) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))) |
#s(approx (tan (+ (+ (+ (PI) x) (PI)) (PI))) (/.f64 (sin.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x))) (cos.f64 (-.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (+ (+ (PI) x) (PI)) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))) x)) #s(literal 1 binary64))))) |
#s(approx (+ (+ (PI) x) (PI)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))) |
#s(approx (+ (PI) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (PI.f64) x)) #s(literal 1 binary64))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (/.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x)))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (sin.f64 (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (+ x eps) (* (PI) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) #s(literal 1 binary64))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (*.f64 #s(literal 2 binary64) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
#s(approx (* (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) 2) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 eps (fma.f64 #s(literal -2 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (*.f64 eps (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (*.f64 eps (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (sin (- eps 0)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (sin (- eps 0)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))) |
#s(approx (sin (- eps 0)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x))))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (cos (- 0 eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
#s(approx (cos (- 0 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 (- 0 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 (- 0 eps) (*.f64 #s(literal -1 binary64) eps)) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x)))))) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (* (cos eps) (cos (+ x x))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (* (cos eps) (cos (+ x x))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))))) |
#s(approx (* (cos eps) (cos (+ x x))) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/24 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))))))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 eps (+.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 eps (+.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) x))))))))) |
#s(approx (* (sin eps) (sin (+ x x))) (*.f64 eps (+.f64 (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 (*.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/120 binary64) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
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#s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
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#s(approx (* eps eps) (pow.f64 eps #s(literal 2 binary64))) |
#s(approx (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))) (+.f64 #s(literal 1 binary64) (*.f64 eps x))) |
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#s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)) |
#s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))) |
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#s(approx (* 2/3 (pow eps 2)) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
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#s(approx (tan (+ x eps)) (/.f64 (sin.f64 x) (cos.f64 x))) |
#s(approx (tan (+ x eps)) (fma.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
#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 (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (/.f64 eps (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (*.f64 eps (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (*.f64 eps (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (/.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x))) (*.f64 eps (fma.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (/.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) (/.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 x) (pow.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (fma.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 (cos.f64 x) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) (*.f64 (cos.f64 x) (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (*.f64 (cos.f64 x) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (+.f64 (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (+.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))))))) |
#s(approx (+ (+ x eps) (* (PI) 1/2)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
#s(approx (cos (- 0 eps)) (cos.f64 (neg.f64 eps))) |
#s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (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))))))) |
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#s(approx (+ (* (* eps eps) 1/3) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (+ 1 (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2))))))) (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) x))) |
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#s(approx (* eps (* x (+ 1 (* 2/3 (pow eps 2))))) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 2/3 binary64) x (/.f64 x (pow.f64 eps #s(literal 2 binary64)))))) |
#s(approx (* x (+ 1 (* 2/3 (pow eps 2)))) (*.f64 #s(literal 2/3 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) 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 (sin (- eps 0)) (sin.f64 (neg.f64 (*.f64 #s(literal -1 binary64) eps)))) |
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#s(approx (cos (- 0 eps)) (cos.f64 (*.f64 #s(literal -1 binary64) eps))) |
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#s(approx (* (sin (+ (+ x eps) (* (PI) 1/2))) (cos x)) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps))))) |
#s(approx (sin (+ (+ x eps) (* (PI) 1/2))) (sin.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal -1 binary64) eps)))) |
#s(approx (+ (+ x eps) (* (PI) 1/2)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) eps)) #s(literal 1 binary64))))) |
6 calls:
| Time | Variable | Point |
|---|---|---|
| 42.0ms | x | inf |
| 11.0ms | x | -inf |
| 9.0ms | eps | 0 |
| 9.0ms | eps | inf |
| 8.0ms | eps | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 1653 |
| 0 | 137 | 1524 |
| 1 | 916 | 1102 |
| 0 | 4129 | 1053 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))))) #s(literal 2 binary64)) |
(/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))))) |
(sin.f64 (-.f64 eps #s(literal 0 binary64))) |
(-.f64 eps #s(literal 0 binary64)) |
eps |
#s(literal 0 binary64) |
(+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x))))) |
(cos.f64 (-.f64 #s(literal 0 binary64) eps)) |
(-.f64 #s(literal 0 binary64) eps) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))) |
(*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) |
(cos.f64 eps) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x))) |
(sin.f64 eps) |
(sin.f64 (+.f64 x x)) |
#s(literal 2 binary64) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
(*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(*.f64 eps eps) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
(*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) |
(fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
(pow.f64 eps #s(literal 2 binary64)) |
(*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) |
(*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))) |
#s(literal 2/3 binary64) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(tan.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) |
(+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) |
(+.f64 (+.f64 (PI.f64) x) (PI.f64)) |
(+.f64 (PI.f64) x) |
(PI.f64) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
(*.f64 (sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)) |
(sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))) |
(*.f64 (/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))) |
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)) (*.f64 (sin.f64 eps) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))) |
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))) |
(/.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) (neg.f64 (sin.f64 eps)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)) (sin.f64 eps))) |
(/.f64 (sin.f64 eps) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) |
(neg.f64 (/.f64 (sin.f64 eps) (neg.f64 (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))))) |
(neg.f64 (/.f64 (neg.f64 (sin.f64 eps)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))) |
(-.f64 (/.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) (/.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (+.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64)))) (*.f64 (sin.f64 eps) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64))) (*.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))) (sin.f64 eps)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (fma.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64)) (*.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64)))))) |
(neg.f64 (neg.f64 (sin.f64 eps))) |
(sin.f64 eps) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 eps)) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (neg.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)))) |
(fma.f64 (sin.f64 eps) #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
(-.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 eps)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (neg.f64 (*.f64 (cos.f64 eps) #s(literal 0 binary64)))) |
(+.f64 (*.f64 (sin.f64 eps) #s(literal 1 binary64)) (*.f64 (cos.f64 eps) #s(literal 0 binary64))) |
eps |
eps |
#s(literal 0 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 eps) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps)))) (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) (cos.f64 eps))) (cos.f64 eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) (cos.f64 eps)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 x x)) (neg.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 x x)) (neg.f64 eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 x x)) (fabs.f64 eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 x x)) (fabs.f64 eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 eps (+.f64 x x)) eps) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 eps (+.f64 x x)) eps) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 eps) (+.f64 eps (+.f64 x x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 eps) (+.f64 eps (+.f64 x x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (fabs.f64 eps) (+.f64 eps (+.f64 x x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fabs.f64 eps) (+.f64 eps (+.f64 x x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 eps (+.f64 x x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 eps (+.f64 eps (+.f64 x x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps)) #s(literal 2 binary64)) (-.f64 (cos.f64 (-.f64 eps (+.f64 x x))) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 (cos.f64 eps) (cos.f64 eps))) (-.f64 (cos.f64 (fma.f64 #s(literal 2 binary64) x eps)) (cos.f64 eps))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps)) (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 eps)))) |
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(*.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(*.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))) |
(*.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(/.f64 (neg.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps)))) (neg.f64 (cos.f64 x))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)))) (neg.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))) |
(/.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (cos.f64 x)) |
(/.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))) (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)))) |
(neg.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps))) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
#s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) |
(*.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x))) #s(literal 1/2 binary64)) |
(*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 (cos.f64 x) (cos.f64 (+.f64 x eps))) |
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (cos.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)))) (cos.f64 (+.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x)) (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) (fabs.f64 x))) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x)) (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(+.f64 (/.f64 (sin.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x)) #s(literal 2 binary64)) (/.f64 (sin.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) x)) #s(literal 2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (*.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (-.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))))) |
(sin.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps))) |
(fma.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (+.f64 x eps)))) |
(fma.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (neg.f64 (cos.f64 (+.f64 x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(-.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))))) |
(cos.f64 (neg.f64 (+.f64 x eps))) |
(cos.f64 (fabs.f64 (+.f64 x eps))) |
(cos.f64 (+.f64 x eps)) |
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (sin.f64 (+.f64 x eps)))) |
(+.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) (*.f64 (cos.f64 x) (cos.f64 eps))) |
(+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps))) (+.f64 x eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 x eps))) (+.f64 x eps)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 x eps) (+.f64 x eps))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 x eps))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) (-.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (+.f64 x eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 x eps))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (fma.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) |
(neg.f64 (-.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 x eps))) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (+.f64 x eps)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x eps)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (neg.f64 (+.f64 x eps))) |
(-.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal -1/2 binary64))) |
(-.f64 x (neg.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (+.f64 x eps)) |
(+.f64 (+.f64 x eps) (*.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 x eps) (neg.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) |
(+.f64 (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (PI.f64))) |
(+.f64 x (+.f64 eps (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(*.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))) |
#s(literal 1/2 binary64) |
(sin.f64 (+.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(sin.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))) |
(fma.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (fabs.f64 (fabs.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64))))) |
Compiled 69 890 to 4 814 computations (93.1% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 762 | 12 | 774 |
| Fresh | 13 | 12 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 778 | 29 | 807 |
| Status | Accuracy | Program |
|---|---|---|
| 23.4% | (/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| 99.1% | (/.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) | |
| 99.8% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) #s(literal 884279719003555/562949953421312 binary64))) (cos.f64 x))) | |
| 99.8% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 #s(approx (+ (+ x eps) (* (PI) 1/2)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (cos.f64 x))) | |
| ✓ | 99.8% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
| 96.9% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) | |
| 96.2% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) #s(literal 1 binary64)))) | |
| 96.4% | (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps))) | |
| 3.8% | (-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x))) | |
| ✓ | 9.0% | (-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x))) |
| 8.7% | (-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 (+.f64 (PI.f64) x)) (neg.f64 (cos.f64 x)))) | |
| ✓ | 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
| 8.5% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) | |
| 8.6% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x))) | |
| ✓ | 61.3% | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 59.1% | (-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x x))) | |
| 100.0% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps)) (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 eps)))) #s(literal 2 binary64)) | |
| 99.8% | (*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) | |
| 97.8% | (*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) | |
| 98.6% | (*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))) #s(literal 2 binary64)) | |
| 97.8% | #s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) | |
| 5.9% | #s(approx (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) (/.f64 (sin.f64 x) (cos.f64 x)))) | |
| ✓ | 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
| 96.9% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps)) | |
| 44.8% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ (* (* eps eps) 1/3) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps)) | |
| 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps x))))))))))) | |
| 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))))))) | |
| 96.4% | #s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) | |
| 96.9% | #s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
Compiled 2 167 to 755 computations (65.2% saved)
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps x))))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))))))) |
| Outputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps x))))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))))))) |
(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) |
(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ 1 (* 1/3 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ (* (* eps eps) 1/3) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x x))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 #s(literal 1/3 binary64) eps)))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/3 binary64) (*.f64 eps x))))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))) (*.f64 (*.f64 eps eps) #s(literal 1/3 binary64)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))))))) |
(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) |
(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ 1 (* 1/3 (pow eps 2))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ (* (* eps eps) 1/3) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x x))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x))) |
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) #s(literal 1 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
| Outputs |
|---|
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) |
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(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (/.f64 eps (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 2 binary64)) |
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#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) #s(approx (+ (* (* eps eps) 1/3) 1) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x) x x))) |
#s(approx (/ (sin (- (+ eps x) x)) (* (cos (+ eps x)) (cos x))) (/.f64 eps (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64))))))))))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x x))) |
(-.f64 (tan.f64 (+.f64 x eps)) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (/.f64 (sin.f64 eps) (cos.f64 eps))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) #s(approx (* (cos (+ eps x)) (cos x)) (cos.f64 eps))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) eps) (PI.f64)) (PI.f64))) #s(approx (tan x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) #s(literal 1 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ x eps) eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) eps)) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) #s(approx (cos x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
| Outputs |
|---|
(/.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
| Inputs |
|---|
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (+.f64 #s(literal 1 binary64) #s(approx (+ (* 1/3 (pow eps 2)) (* eps (* x (+ 1 (* 2/3 (pow eps 2)))))) (*.f64 eps x)))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 #s(approx (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) (fma.f64 (*.f64 eps eps) #s(literal 1/3 binary64) #s(literal 1 binary64))) eps)) |
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(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 (+.f64 (PI.f64) x))) |
(-.f64 (tan.f64 (+.f64 (+.f64 (PI.f64) x) eps)) (tan.f64 x)) |
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#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* eps (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) #s(approx (* (- (+ 1 (* eps (- (* eps (- (* -1 (* eps (+ (* -1/2 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (+ (* 1/6 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x))) (/ (* (sin x) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2))))))) (cos x)))))) (+ 1/6 (+ (* -1 (/ (* (pow (sin x) 2) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (pow (cos x) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (* 1/6 (/ (pow (sin x) 2) (pow (cos x) 2)))))))) (* -1 (/ (* (sin x) (- 1 (* -1 (/ (pow (sin x) 2) (pow (cos x) 2))))) (cos x)))))) (* -1 (/ (pow (sin x) 2) (pow (cos x) 2)))) eps) (fma.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 x (fma.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/3 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
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| Outputs |
|---|
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
| Inputs |
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(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) #s(literal 884279719003555/562949953421312 binary64))) (cos.f64 x))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
(*.f64 (/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (cos.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(/.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (cos.f64 (+.f64 (+.f64 x eps) x)) (cos.f64 eps))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (+.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 #s(approx (+ (+ x eps) (* (PI) 1/2)) (+.f64 eps (+.f64 x (*.f64 #s(literal 1/2 binary64) (PI.f64)))))) (cos.f64 x))) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (sin.f64 (+.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x))) |
(-.f64 (/.f64 (sin.f64 (+.f64 eps x)) (cos.f64 (+.f64 eps x))) (tan.f64 x)) |
(/.f64 (/.f64 (sin.f64 (-.f64 (+.f64 eps x) x)) (cos.f64 (+.f64 eps x))) (cos.f64 x)) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (cos.f64 (+.f64 eps x))) (/.f64 #s(literal 1 binary64) (cos.f64 x))) |
(-.f64 (tan.f64 (+.f64 x eps)) (/.f64 (sin.f64 (+.f64 (PI.f64) x)) (neg.f64 (cos.f64 x)))) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (sin.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (+.f64 eps x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (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)))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (sin.f64 (+.f64 (+.f64 (+.f64 x eps) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (sin.f64 (/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 x x)) (+.f64 (+.f64 eps x) x))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (cos (+ (+ eps x) x)))) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(*.f64 #s(approx (/ (sin (- eps 0)) (+ (cos (- 0 eps)) (- (* (cos eps) (cos (+ x x))) (* (sin eps) (sin (+ x x)))))) (*.f64 eps (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (/.f64 (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (tan.f64 (+.f64 eps x)) (neg.f64 (cos.f64 x)) (sin.f64 x)) (neg.f64 (cos.f64 x))) |
#s(approx (- (tan (+ (+ (+ (+ (PI) x) eps) (PI)) (PI))) (tan x)) (-.f64 (/.f64 (sin.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64)))))) (cos.f64 (+.f64 eps (+.f64 x (+.f64 (PI.f64) (*.f64 #s(literal 2 binary64) (PI.f64))))))) (/.f64 (sin.f64 x) (cos.f64 x)))) |
(/.f64 (sin.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 eps x) (+.f64 eps x) (fma.f64 x x (*.f64 (+.f64 eps x) x))))) (*.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps)) (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 eps)))) #s(literal 2 binary64)) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) #s(approx (+ (cos (- 0 eps)) (cos (+ (+ eps x) x))) (+.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 2 binary64) x)))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (sin (- (+ eps x) x)) (sin.f64 eps)) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))) |
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (+.f64 (cos.f64 (-.f64 #s(literal 0 binary64) eps)) (-.f64 (*.f64 (cos.f64 eps) (cos.f64 (+.f64 x x))) (*.f64 (sin.f64 eps) (sin.f64 (+.f64 x x)))))) #s(literal 2 binary64)) |
(/.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 (/.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)) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) (cos.f64 x))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (fma.f64 x (-.f64 (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) (cos.f64 eps)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (sin.f64 eps) (cos.f64 eps)))) |
(/.f64 #s(approx (- (* (tan (+ eps x)) (tan (+ eps x))) (* (tan x) (tan x))) (*.f64 eps (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (*.f64 eps (fma.f64 #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))) (pow.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))))) #s(literal 2 binary64))))))) (+.f64 (tan.f64 (+.f64 eps 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))))))) |
#s(approx (- (tan (+ x eps)) (tan x)) (*.f64 eps (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)) (/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))))) (cos.f64 x)))))) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))) (cos.f64 x)))))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 (-.f64 eps #s(literal 0 binary64))) (-.f64 (*.f64 (+.f64 (cos.f64 (+.f64 x x)) #s(literal 1 binary64)) (cos.f64 eps)) (*.f64 (sin.f64 (+.f64 x x)) (sin.f64 eps)))) #s(literal 2 binary64)) |
21 calls:
| 19.0ms | x |
| 18.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 17.0ms | eps |
| 15.0ms | eps |
| 15.0ms | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | x |
| 96.4% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 96.4% | 1 | eps |
| 96.4% | 1 | x |
| 96.4% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 96.4% | 1 | eps |
| 97.8% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 97.8% | 1 | x |
| 97.8% | 1 | eps |
| 97.8% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 97.8% | 1 | x |
| 97.8% | 1 | eps |
| 99.1% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 99.1% | 1 | x |
| 99.1% | 1 | eps |
| 99.8% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 99.8% | 1 | x |
| 99.8% | 1 | eps |
| 100.0% | 1 | (-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x)) |
| 100.0% | 1 | x |
| 100.0% | 1 | eps |
Compiled 4 918 to 559 computations (88.6% saved)
| 1× | fuel |
Compiled 574 to 117 computations (79.6% saved)
Compiled 616 to 147 computations (76.1% saved)
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