
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 50.6% | 49.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 3 |
| 0% | 0% | 25.3% | 49.4% | 0% | 25.3% | 0% | 4 |
| 0% | 0% | 19% | 49.4% | 0% | 31.6% | 0% | 5 |
| 0% | 0% | 15.8% | 49.4% | 0% | 34.8% | 0% | 6 |
| 0% | 0% | 11.1% | 49.4% | 0% | 39.5% | 0% | 7 |
| 0% | 0% | 8.7% | 49.4% | 0% | 41.9% | 0% | 8 |
| 0% | 0% | 5.9% | 49.4% | 0% | 44.6% | 0% | 9 |
| 0% | 0% | 4.5% | 49.4% | 0% | 46% | 0% | 10 |
| 0% | 0% | 3.1% | 49.4% | 0% | 47.5% | 0% | 11 |
| 0% | 0% | 2.7% | 49.4% | 0% | 47.9% | 0% | 12 |
Compiled 27 to 19 computations (29.6% saved)
| 2.3s | 5 842× | 2 | valid |
| 1.8s | 26 581× | 0 | invalid |
| 354.0ms | 2 356× | 1 | valid |
| 6.0ms | 58× | 0 | valid |
ival-cos: 2.1s (62.3% of total)adjust: 375.0ms (11% of total)ival-fabs: 290.0ms (8.5% of total)ival-mult!: 154.0ms (4.5% of total)ival-sub!: 145.0ms (4.3% of total)ival-<: 120.0ms (3.5% of total)ival-add!: 117.0ms (3.4% of total)ival-and: 65.0ms (1.9% of total)ival-assert: 14.0ms (0.4% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 46 |
| 1 | 143 | 42 |
| 2 | 1832 | 42 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
Compiled 12 to 12 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 72 | 18 |
| 2 | 1013 | 18 |
| 0 | 9245 | 18 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
x |
eps |
(cos.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 (+.f64 eps x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 eps x)) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 eps x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (neg.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fabs.f64 x) (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (neg.f64 (fabs.f64 (+.f64 eps x)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (-.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (fabs.f64 (+.f64 eps x))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 x (PI.f64)) (+.f64 eps x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (neg.f64 x) (PI.f64))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 (fabs.f64 x) (PI.f64))) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 (+.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 x (PI.f64))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 (+.f64 eps x))) (+.f64 x (PI.f64))) #s(literal 2 binary64))))) |
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(fma.f64 (sin.f64 (fabs.f64 (+.f64 eps x))) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x)) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x)))) |
(fma.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(fma.f64 (sin.f64 x) (cos.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) (cos.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) (*.f64 (sin.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) (sin.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))))) |
(-.f64 (*.f64 (sin.f64 x) (cos.f64 (-.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 (neg.f64 eps))))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x))) |
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 eps x))))) |
(cos.f64 (neg.f64 (fabs.f64 (+.f64 eps x)))) |
(cos.f64 (-.f64 (neg.f64 x) eps)) |
(cos.f64 (fabs.f64 (+.f64 eps x))) |
(cos.f64 (+.f64 eps x)) |
(+.f64 (*.f64 (sin.f64 (-.f64 (neg.f64 x) eps)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 (fabs.f64 (+.f64 eps x))) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps x))) (*.f64 #s(literal 0 binary64) (sin.f64 (+.f64 eps x)))) |
(+.f64 (*.f64 (sin.f64 x) (cos.f64 (+.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(+.f64 (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps))))) |
(+.f64 (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) #s(literal 0 binary64)) (*.f64 (cos.f64 (+.f64 eps x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (sin.f64 eps) (sin.f64 x)))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(*.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x eps)) (*.f64 (-.f64 x eps) (*.f64 eps eps))) (*.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)))) (neg.f64 (neg.f64 (-.f64 x eps)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 eps x) (-.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 eps x) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 eps x)))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps))))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) |
(neg.f64 (-.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 eps (neg.f64 x)) |
(-.f64 x (neg.f64 eps)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 eps (-.f64 eps x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 eps (-.f64 eps x) (*.f64 x x)))) |
(+.f64 eps x) |
(+.f64 x (neg.f64 (neg.f64 eps))) |
(+.f64 x eps) |
x |
eps |
(sin.f64 (+.f64 (neg.f64 (neg.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 (fabs.f64 x)) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) |
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(fma.f64 (sin.f64 x) #s(literal 0 binary64) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(-.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) (sin.f64 (neg.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) |
(cos.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cos.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) |
(cos.f64 (neg.f64 (neg.f64 x))) |
(cos.f64 (neg.f64 (fabs.f64 x))) |
(cos.f64 (neg.f64 x)) |
(cos.f64 (fabs.f64 x)) |
(cos.f64 x) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sin.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x))) |
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 (cos.f64 x) #s(literal 1 binary64))) |
Compiled 2 633 to 1 019 computations (61.3% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 182 | 8 | 190 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 182 | 9 | 191 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.6% | (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
| ▶ | 54.7% | (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) |
| 54.7% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) | |
| 54.5% | (-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)) | |
| ▶ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
| ✓ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ▶ | 80.0% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
| ▶ | 80.0% | (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
| 6.5% | (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
Compiled 242 to 210 computations (13.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 289 |
| 0 | 81 | 286 |
| 0 | 392 | 283 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
#s(literal -2 binary64) |
(sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)) |
(-.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
eps |
x |
#s(literal 1/2 binary64) |
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 eps x) x) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(cos.f64 (+.f64 x eps)) |
(+.f64 x eps) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) x) |
(PI.f64) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x)))) |
(cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))) |
(*.f64 #s(literal 2 binary64) (+.f64 eps x)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) |
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))) |
(cos.f64 (+.f64 x x)) |
(+.f64 x x) |
(+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x))) |
(cos.f64 x) |
(cos.f64 (+.f64 eps x)) |
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) |
(cos.f64 eps) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(sin.f64 x) |
(neg.f64 (sin.f64 eps)) |
(sin.f64 eps) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)))) |
#s(literal -2 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)) |
(*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) |
(/.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) (fma.f64 x x (*.f64 (+.f64 x eps) x)))) |
(neg.f64 (-.f64 x (+.f64 x eps))) |
(-.f64 (+.f64 x eps) x) |
(+.f64 (+.f64 x eps) (neg.f64 x)) |
(+.f64 eps (-.f64 x x)) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 eps eps)) (-.f64 x 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 eps #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps)))) |
(-.f64 x (neg.f64 eps)) |
(-.f64 eps (neg.f64 x)) |
(+.f64 x eps) |
(+.f64 eps x) |
eps |
x |
#s(literal 1/2 binary64) |
(sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 x eps) 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)))) |
(-.f64 (+.f64 x eps) (neg.f64 x)) |
(+.f64 (+.f64 x eps) x) |
(+.f64 x (+.f64 x eps)) |
(+.f64 eps (+.f64 x x)) |
(/.f64 (-.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 x eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) (+.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))))) |
(fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(fma.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 eps)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)))) |
(+.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) |
(sin.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(cos.f64 (fabs.f64 eps)) |
(cos.f64 (neg.f64 eps)) |
(cos.f64 eps) |
(*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x)) |
(*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))) |
(neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) |
(sin.f64 x) |
(neg.f64 (sin.f64 eps)) |
(sin.f64 (neg.f64 eps)) |
(sin.f64 (+.f64 eps (PI.f64))) |
(cos.f64 (+.f64 eps (/.f64 (PI.f64) #s(literal 2 binary64)))) |
(sin.f64 eps) |
Compiled 1 867 to 715 computations (61.7% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 169 | 4 | 173 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 173 | 9 | 182 |
| Status | Accuracy | Program |
|---|---|---|
| 54.8% | (/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x))))) | |
| ✓ | 54.7% | (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) |
| ▶ | 54.7% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
| ▶ | 54.5% | (-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)) |
| ✓ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
| ✓ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| ▶ | 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
| ▶ | 80.0% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
| ▶ | 99.6% | (*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
Compiled 236 to 181 computations (23.3% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 259 |
| 0 | 75 | 212 |
| 1 | 310 | 152 |
| 2 | 2944 | 152 |
| 0 | 8371 | 152 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) |
#s(literal -2 binary64) |
(sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 eps (-.f64 x x)) |
eps |
(-.f64 x x) |
x |
#s(literal 1/2 binary64) |
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)) |
(sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) |
(-.f64 (neg.f64 x) eps) |
(neg.f64 x) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(cos.f64 x) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x)) |
(-.f64 (+.f64 x eps) x) |
(+.f64 x eps) |
(sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 x eps) x) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(*.f64 (cos.f64 eps) (cos.f64 x)) |
(cos.f64 eps) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(sin.f64 eps) |
(sin.f64 x) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps eps))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps eps)))) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) |
#s(literal -2 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 eps eps)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) eps) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps)))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps)))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) |
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 eps x))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) |
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) |
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (-.f64 eps x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) |
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps)) |
eps |
eps |
#s(literal 0 binary64) |
x |
#s(literal 1/2 binary64) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
(*.f64 eps #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) eps)) (*.f64 eps eps)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) eps) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps)))) |
(/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))) |
(/.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) eps) |
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps))) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x (neg.f64 eps)))) |
(neg.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 eps))) |
(neg.f64 (*.f64 (neg.f64 eps) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 x eps) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 x eps) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (-.f64 eps x))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) |
(fma.f64 #s(literal 1/2 binary64) eps #s(literal 0 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) |
(fma.f64 eps #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x eps)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (-.f64 eps x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x eps))) |
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (+.f64 x eps) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (-.f64 eps x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (+.f64 x eps) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps)) |
eps |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (/.f64 #s(literal 1 binary64) (-.f64 eps x))) |
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 eps) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 eps eps (*.f64 x (neg.f64 eps))))) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 eps x)) (-.f64 eps x)) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(neg.f64 (-.f64 (neg.f64 x) eps)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x eps)) (/.f64 (*.f64 eps eps) (-.f64 x eps))) |
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps x)) (/.f64 (*.f64 x x) (-.f64 eps x))) |
(-.f64 x (neg.f64 eps)) |
(-.f64 eps (neg.f64 x)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 eps (-.f64 eps x)))) (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 x x (*.f64 eps (-.f64 eps x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) |
(+.f64 x eps) |
(+.f64 eps (neg.f64 (neg.f64 x))) |
(+.f64 eps x) |
(*.f64 (*.f64 (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (pow.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) #s(literal 2 binary64))))) |
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eps |
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(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x)))) (sin.f64 (+.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 x))) (sin.f64 (+.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 x))) (sin.f64 (+.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) x)) (sin.f64 (+.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 (fabs.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 (neg.f64 x)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 (neg.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fabs.f64 (fabs.f64 x)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fabs.f64 (fabs.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 eps))) (sin.f64 (+.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps))) (sin.f64 (+.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps)) (sin.f64 (+.f64 (+.f64 (fabs.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (fabs.f64 eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 (fabs.f64 eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 eps))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps))) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fabs.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps)) (sin.f64 (+.f64 (+.f64 (neg.f64 x) (*.f64 (PI.f64) #s(literal 1/2 binary64))) eps))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 (fabs.f64 eps))))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 (fabs.f64 eps)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 (fabs.f64 eps))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 eps) (fabs.f64 x))) (cos.f64 (-.f64 (neg.f64 eps) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 (neg.f64 eps) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 eps) x)) (cos.f64 (+.f64 x eps))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) (fabs.f64 x))) (cos.f64 (-.f64 (fabs.f64 eps) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) (neg.f64 x))) (cos.f64 (-.f64 (fabs.f64 eps) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 eps) x)) (cos.f64 (-.f64 (fabs.f64 eps) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 eps (fabs.f64 x))) (cos.f64 (-.f64 eps (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (neg.f64 eps))) (cos.f64 (-.f64 (fabs.f64 x) (neg.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) (fabs.f64 eps))) (cos.f64 (-.f64 (fabs.f64 x) (fabs.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (fabs.f64 x) eps)) (cos.f64 (-.f64 (fabs.f64 x) eps))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 (neg.f64 x) (fabs.f64 eps))) (cos.f64 (-.f64 (neg.f64 x) (fabs.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 x (fabs.f64 eps))) (cos.f64 (-.f64 x (fabs.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fma.f64 (PI.f64) #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fabs.f64 x))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (fabs.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x)) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps) x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (neg.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 eps))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (fabs.f64 eps)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps)) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) eps))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) #s(literal 2 binary64)) |
(+.f64 (/.f64 (cos.f64 (+.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cos.f64 (-.f64 x eps)) #s(literal 2 binary64))) |
(sin.f64 (+.f64 (neg.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (+.f64 (fabs.f64 eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) eps)) |
(fma.f64 (sin.f64 eps) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(cos.f64 (neg.f64 (fabs.f64 eps))) |
(cos.f64 (fabs.f64 (fabs.f64 eps))) |
(cos.f64 (neg.f64 eps)) |
(cos.f64 (fabs.f64 eps)) |
(cos.f64 eps) |
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 (*.f64 #s(literal -1/2 binary64) (PI.f64)))) (*.f64 (cos.f64 eps) (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))))) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64))))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(fma.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (cos.f64 x)))) |
(fma.f64 (sin.f64 (neg.f64 x)) (sin.f64 (neg.f64 eps)) (cos.f64 x)) |
(fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (neg.f64 (neg.f64 (cos.f64 x)))) |
(fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (+.f64 x eps))) #s(literal 1/2 binary64) (cos.f64 x)) |
(fma.f64 (sin.f64 x) (sin.f64 eps) (neg.f64 (neg.f64 (cos.f64 x)))) |
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x)))) |
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 #s(literal 0 binary64)))) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))) |
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x))) |
(-.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) |
(-.f64 (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) |
(-.f64 (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (neg.f64 (cos.f64 x)))) |
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)) |
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) |
(sin.f64 eps) |
(sin.f64 x) |
Compiled 6 360 to 2 406 computations (62.2% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 10 | 495 |
| Fresh | 0 | 1 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 489 | 15 | 504 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| 54.8% | (/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x))))) | |
| ✓ | 54.7% | (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) |
| ✓ | 54.7% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
| ▶ | 54.5% | (-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x)) |
| ✓ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
| ✓ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 41.9% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) | |
| ▶ | 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
| ▶ | 39.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
| 34.9% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64)) | |
| ▶ | 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
| 38.9% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) | |
| 54.2% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) | |
| ▶ | 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
Compiled 426 to 352 computations (17.4% saved)
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
eps |
#s(literal -2 binary64) |
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
x |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x)) |
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(+.f64 x eps) |
(cos.f64 x) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) |
(*.f64 (+.f64 x eps) (-.f64 x eps)) |
(-.f64 x eps) |
(sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 eps (-.f64 x x)) |
(-.f64 x x) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) |
(sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))) |
(*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) |
(fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) |
(*.f64 x eps) |
| Outputs |
|---|
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (pow (sin (* 1/2 eps)) 2)))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -2 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (* -2 (pow (sin (* 1/2 eps)) 2))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (pow (sin (* 1/2 eps)) 2))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (+ (* -2 (pow (sin (* 1/2 eps)) 2)) (* x (+ (* -2 (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (* x (+ (* 1/3 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps)))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (cos (* 1/2 eps)))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* -1/2 (* x (sin (* 1/2 eps))))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin (* 1/2 eps)) (* x (+ (cos (* 1/2 eps)) (* x (+ (* -1/2 (sin (* 1/2 eps))) (* -1/6 (* x (cos (* 1/2 eps))))))))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps)))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 eps)) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x)))) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) eps)) 1))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* -1 (* x (cos (- (* 1/2 (PI)) eps))))) 1))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ 1/2 (* -1/2 (sin (- (* 1/2 (PI)) eps)))))))) 1))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ 1/2 (+ (* -1/2 (sin (- (* 1/2 (PI)) eps))) (* 1/6 (* x (cos (- (* 1/2 (PI)) eps)))))))))) 1))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) eps)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* -1 (* x (cos (- (* 1/2 (PI)) eps))))))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* -1/2 (* x (sin (- (* 1/2 (PI)) eps))))))))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* x (+ (* -1/2 (sin (- (* 1/2 (PI)) eps))) (* 1/6 (* x (cos (- (* 1/2 (PI)) eps))))))))))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) eps))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 x) (* 1/2 (PI))) eps))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2)))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (* -1 eps)))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (+ x (* -1 eps))))))) |
#s(approx (- x eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- x eps) #s(hole binary64 (- x eps))) |
#s(approx (- x x) #s(hole binary64 0)) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (pow eps 3)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (* x (+ eps (* 2 eps))))) (* 1/2 (pow eps 3))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (pow eps 3)) (* x (+ (* 1/2 (* eps x)) (* 1/2 (* eps (+ eps (* 2 eps))))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* eps (* x (+ eps (* 2 eps)))) (pow eps 3)))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* x (+ (* eps x) (* eps (+ eps (* 2 eps))))) (pow eps 3)))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (pow eps 2))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (* 2 eps))) (pow eps 2)))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (+ x (* 2 eps)))) (pow eps 2)))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x)))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x)))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x))))) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) (+ eps x))) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ eps x))))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 x))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (+ 1 (/ eps x)))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (/ eps x)))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (/ eps x))))))) |
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (* eps (pow x 2))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (* 1/2 (/ (* eps (+ eps (* 2 eps))) x)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (+ (* 1/2 (/ (* eps (+ eps (* 2 eps))) x)) (* 1/2 (/ (pow eps 3) (pow x 2)))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (pow x 2)))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (* eps (+ eps (* 2 eps))) x))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ (* eps (+ eps (* 2 eps))) x) (/ (pow eps 3) (pow x 2))))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ eps x)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x)))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 x) (* 1/2 (PI))) eps)) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 x) (* 1/2 (PI))) eps)))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/2 (PI)) eps) x))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ eps (* -1 eps))) (/ (pow eps 2) x)) x)))))) |
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (* eps (+ (* -2 eps) (* -1 eps))) x)) (* 1/2 eps))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow eps 3) x)) (* 1/2 (* eps (+ (* -2 eps) (* -1 eps))))) x)) (* 1/2 eps))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (* eps (+ (* -2 eps) (* -1 eps))) x)))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (* eps (+ (* -2 eps) (* -1 eps)))) x)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 eps)) x)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))) x)))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -1 (* eps (sin x))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x)))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x))))))))))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1)))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1)))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1)))) |
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2)))))) |
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) |
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin x))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x)))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x)))))))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) x)) (cos x)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x))))) (cos x)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x))))))) (cos x)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x))))))))) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x))))))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x))))))))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x))))))))))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) x))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 eps) (* 1/2 (PI))) x))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* 1/2 (* eps (sin x))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x)))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x)))))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x)))))))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (* -1 x))) (pow x 2)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (+ (* -1 eps) (* -1 x)))) (pow x 2)))) |
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (* eps (+ x (* 2 x)))) (* 1/2 (pow x 2)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 eps) (* 1/2 (+ x (* 2 x))))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ x (* 2 x))) (pow x 2))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ x (* 2 x))) (pow x 2)))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2)))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* -2 (sin (* 1/2 eps))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* eps (- (* 1/2 (/ (PI) eps)) (+ 1 (/ x eps)))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (/ x eps)) 1)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))) 1)))) |
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (* 1/2 (/ (+ x (* 2 x)) eps)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (+ (* 1/2 (/ (+ x (* 2 x)) eps)) (* 1/2 (/ (pow x 2) (pow eps 2)))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (/ x eps)))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ x eps)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 eps) (* 1/2 (PI))) x)) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 eps) (* 1/2 (PI))) x)))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (- (* 1/2 (PI)) x) eps))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (* -1 x)) eps)) 1)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)) 1)))) |
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps))))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ (+ (* -2 x) (* -1 x)) eps)) 1/2))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (+ (* -2 x) (* -1 x))) (* 1/2 (/ (pow x 2) eps))) eps)) 1/2))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -2 (/ x eps)) (* -1 (/ x eps))) 1))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (+ (* -2 x) (* -1 x))) (/ (pow x 2) eps)) eps)) 1))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 x)) eps)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | eps | @ | inf | ((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps)) |
| 5.0ms | x | @ | 0 | ((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps)) |
| 4.0ms | x | @ | inf | ((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps)) |
| 4.0ms | eps | @ | -inf | ((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps)) |
| 4.0ms | x | @ | -inf | ((* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (* (sin (* 1/2 eps)) -2) (sin (* 1/2 eps)) (* 1/2 eps) 1/2 eps -2 (sin (* (+ (+ eps x) x) 1/2)) (* (+ (+ eps x) x) 1/2) (+ (+ eps x) x) (+ eps x) x (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (sin (- (* (PI) 1/2) (+ x eps))) (- (* (PI) 1/2) (+ x eps)) (* (PI) 1/2) (PI) (+ x eps) (cos x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (sin (* eps 1/2)) (* eps 1/2) (* (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) -2) (* (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (sin (* (+ eps (- x x)) 1/2))) (sin (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2)) (* (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) 1/2) (+ (/ (* (+ x eps) (- x eps)) (- x eps)) x) (/ (* (+ x eps) (- x eps)) (- x eps)) (* (+ x eps) (- x eps)) (- x eps) (sin (* (+ eps (- x x)) 1/2)) (* (+ eps (- x x)) 1/2) (+ eps (- x x)) (- x x) (* (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) -2) (* (sin (* (+ (+ eps x) x) 1/2)) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))))) (sin (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps)))) (/ (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (+ (* (+ x eps) (+ x eps)) (* x eps))) (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (+ (* (+ x eps) (+ x eps)) (* x eps)) (* x eps)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 748 | 4372 |
| 0 | 808 | 3992 |
| 1 | 5230 | 3992 |
| 0 | 8203 | 3746 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) |
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
eps |
#s(literal -2 binary64) |
(sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 eps x) x) |
(+.f64 eps x) |
x |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x)) |
(sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) |
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps)) |
(*.f64 (PI.f64) #s(literal 1/2 binary64)) |
(PI.f64) |
(+.f64 x eps) |
(cos.f64 x) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
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(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
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(sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) |
(/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) |
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(-.f64 x eps) |
(sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 eps (-.f64 x x)) |
(-.f64 x x) |
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(*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) |
(fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) |
(*.f64 x eps) |
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#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 eps)))) |
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#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* 1/2 eps))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (+ x (* 1/2 eps)))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 eps)) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (+ eps (* 2 x)))) |
#s(approx (+ eps x) #s(hole binary64 (+ eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) eps)) 1))) |
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#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) eps)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* -1 (* x (cos (- (* 1/2 (PI)) eps))))))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) eps)) (* x (+ (* -1 (cos (- (* 1/2 (PI)) eps))) (* -1/2 (* x (sin (- (* 1/2 (PI)) eps))))))))) |
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#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) eps))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 x) (* 1/2 (PI))) eps))) |
#s(approx (cos x) #s(hole binary64 1)) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))))) |
#s(approx (cos x) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (pow (sin (* 1/2 eps)) 2))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps)))) (pow (sin (* 1/2 eps)) 2)))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* -1/2 (* x (pow (sin (* 1/2 eps)) 2))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (+ (* x (+ (* x (+ (* -1/2 (pow (sin (* 1/2 eps)) 2)) (* -1/6 (* x (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))))) (* (cos (* 1/2 eps)) (sin (* 1/2 eps))))) (pow (sin (* 1/2 eps)) 2)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (* -1 eps)))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* -1 (pow eps 2)) (* x (+ eps (+ x (* -1 eps))))))) |
#s(approx (- x eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- x eps) #s(hole binary64 (- x eps))) |
#s(approx (- x x) #s(hole binary64 0)) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (pow eps 3)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (* x (+ eps (* 2 eps))))) (* 1/2 (pow eps 3))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (+ (* 1/2 (pow eps 3)) (* x (+ (* 1/2 (* eps x)) (* 1/2 (* eps (+ eps (* 2 eps))))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (pow eps 3))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* eps (* x (+ eps (* 2 eps)))) (pow eps 3)))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (+ (* x (+ (* eps x) (* eps (+ eps (* 2 eps))))) (pow eps 3)))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (pow eps 2))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (* 2 eps))) (pow eps 2)))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* x (+ eps (+ x (* 2 eps)))) (pow eps 2)))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x)))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (+ eps (* 2 x)))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* x (+ 1 (* 1/2 (/ eps x)))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* x (+ 2 (/ eps x))))) |
#s(approx (+ eps x) #s(hole binary64 (* x (+ 1 (/ eps x))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) (+ eps x))) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) (+ eps x))))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 x))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* x (- (* 1/2 (/ (PI) x)) (+ 1 (/ eps x)))))) |
#s(approx (cos x) #s(hole binary64 (cos x))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (+ eps (* 2 x))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (/ eps x)))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* -1 (/ eps x)) (+ (* -1 (/ (pow eps 2) (pow x 2))) (/ eps x))))))) |
#s(approx (- x eps) #s(hole binary64 (* x (+ 1 (* -1 (/ eps x)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* 1/2 (* eps (pow x 2))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (* 1/2 (/ (* eps (+ eps (* 2 eps))) x)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* 1/2 eps) (+ (* 1/2 (/ (* eps (+ eps (* 2 eps))) x)) (* 1/2 (/ (pow eps 3) (pow x 2)))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (pow x 2)))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (/ (* eps (+ eps (* 2 eps))) x))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (+ (/ (* eps (+ eps (* 2 eps))) x) (/ (pow eps 3) (pow x 2))))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (/ eps x)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (* 2 (/ eps x)) (+ (/ eps x) (/ (pow eps 2) (pow x 2)))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x)))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- eps (* -2 x)))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* x (- (* -1/2 (/ eps x)) 1))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 2))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* x (- (* -1 (/ eps x)) 1))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 x) (* 1/2 (PI))) eps)) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 x) (* 1/2 (PI))) eps)))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (* 1/2 (PI)) eps) x))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- eps (* -2 x))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ eps (* -1 eps))) (/ (pow eps 2) x)) x)))))) |
#s(approx (- x eps) #s(hole binary64 (* -1 (* x (- (/ eps x) 1))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1/2 (/ (* eps (+ (* -2 eps) (* -1 eps))) x)) (* 1/2 eps))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow eps 3) x)) (* 1/2 (* eps (+ (* -2 eps) (* -1 eps))))) x)) (* 1/2 eps))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (* eps (+ (* -2 eps) (* -1 eps))) x)))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow x 2) (+ eps (* -1 (/ (+ (* -1 (/ (pow eps 3) x)) (* eps (+ (* -2 eps) (* -1 eps)))) x)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (* -1 eps)) x)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 eps) (+ (* -1 eps) (* -1 (/ (pow eps 2) x)))) x)))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -1 (* eps (sin x))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* -1/2 (* eps (cos x))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -2 (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x))))) (* -1/2 (cos x)))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* eps (+ (* -1 (sin x)) (* eps (+ (* -1/2 (cos x)) (* eps (+ (* -2 (+ (* -1/16 (sin x)) (* -1/48 (sin x)))) (* 1/24 (* eps (cos x))))))))))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* 1/24 (pow eps 2)) 1)))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* -1/1920 (pow eps 2)))) 1)))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* eps (- (* (pow eps 2) (+ 1/24 (* (pow eps 2) (- (* 1/322560 (pow eps 2)) 1/1920)))) 1)))) |
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* -1/48 (pow eps 2)))))) |
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* 1/3840 (pow eps 2)) 1/48)))))) |
#s(approx (sin (* 1/2 eps)) #s(hole binary64 (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 1/3840 (* -1/645120 (pow eps 2)))) 1/48)))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin x))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* 1/2 (* eps (cos x)))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* -1/8 (* eps (sin x))) (* 1/2 (cos x))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (+ (sin x) (* eps (+ (* 1/2 (cos x)) (* eps (+ (* -1/8 (sin x)) (* -1/48 (* eps (cos x)))))))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (* 1/2 (PI)) x)) (cos x)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x))))) (cos x)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x))))))) (cos x)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x))))))))) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (* 1/2 (PI)) x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* -1 (* eps (cos (- (* 1/2 (PI)) x))))))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* -1/2 (* eps (sin (- (* 1/2 (PI)) x))))))))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (+ (sin (- (* 1/2 (PI)) x)) (* eps (+ (* -1 (cos (- (* 1/2 (PI)) x))) (* eps (+ (* -1/2 (sin (- (* 1/2 (PI)) x))) (* 1/6 (* eps (cos (- (* 1/2 (PI)) x))))))))))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (* 1/2 (PI)) x))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (- (+ (* -1 eps) (* 1/2 (PI))) x))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* 1/2 (* eps (sin x))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/4 (* eps (cos x))) (* 1/2 (sin x)))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (* -1/48 (sin x)))))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* eps (+ (* 1/2 (sin x)) (* eps (+ (* 1/4 (cos x)) (* eps (+ (* -1/16 (sin x)) (+ (* -1/48 (sin x)) (* -1/48 (* eps (cos x)))))))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (* -1 x))) (pow x 2)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (+ (* eps (+ x (+ (* -1 eps) (* -1 x)))) (pow x 2)))) |
#s(approx (- x eps) #s(hole binary64 (+ x (* -1 eps)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (* eps (+ x (* 2 x)))) (* 1/2 (pow x 2)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* eps (+ (* 1/2 (pow x 2)) (* eps (+ (* 1/2 eps) (* 1/2 (+ x (* 2 x))))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ x (* 2 x))) (pow x 2))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* eps (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ x (* 2 x))) (pow x 2)))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (+ (* eps (+ eps (+ x (* 2 x)))) (pow x 2)))) |
#s(approx (* (sin (* 1/2 eps)) -2) #s(hole binary64 (* -2 (sin (* 1/2 eps))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* eps (+ 1/2 (/ x eps))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* eps (+ 1 (* 2 (/ x eps)))))) |
#s(approx (+ eps x) #s(hole binary64 (* eps (+ 1 (/ x eps))))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* eps (- (* 1/2 (/ (PI) eps)) (+ 1 (/ x eps)))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (/ x eps)) 1)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))) 1)))) |
#s(approx (- x eps) #s(hole binary64 (* eps (- (/ x eps) 1)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (* 1/2 (/ (+ x (* 2 x)) eps)))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* (pow eps 3) (+ 1/2 (+ (* 1/2 (/ (+ x (* 2 x)) eps)) (* 1/2 (/ (pow x 2) (pow eps 2)))))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (/ x eps)))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* (pow eps 3) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (/ x eps)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (+ (* 2 (/ x eps)) (+ (/ x eps) (/ (pow x 2) (pow eps 2)))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) #s(hole binary64 (* -2 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps)))))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) #s(hole binary64 (sin (* 1/2 (- (* 2 x) (* -1 eps)))))) |
#s(approx (* (+ (+ eps x) x) 1/2) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1/2))))) |
#s(approx (+ (+ eps x) x) #s(hole binary64 (* -1 (* eps (- (* -2 (/ x eps)) 1))))) |
#s(approx (+ eps x) #s(hole binary64 (* -1 (* eps (- (* -1 (/ x eps)) 1))))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) #s(hole binary64 (- (sin (- (+ (* -1 eps) (* 1/2 (PI))) x)) (cos x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) #s(hole binary64 (sin (- (+ (* -1 eps) (* 1/2 (PI))) x)))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ (- (* 1/2 (PI)) x) eps))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) #s(hole binary64 (* (sin (* 1/2 eps)) (sin (* 1/2 (- (* 2 x) (* -1 eps))))))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (* -1 x)) eps)) 1)))) |
#s(approx (* (+ x eps) (- x eps)) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)) 1)))) |
#s(approx (- x eps) #s(hole binary64 (* -1 (* eps (+ 1 (* -1 (/ x eps))))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* 1/2 (/ (+ (* -2 x) (* -1 x)) eps)) 1/2))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (+ (* -2 x) (* -1 x))) (* 1/2 (/ (pow x 2) eps))) eps)) 1/2))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (+ (* -2 (/ x eps)) (* -1 (/ x eps))) 1))))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) #s(hole binary64 (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (+ (* -2 x) (* -1 x))) (/ (pow x 2) eps)) eps)) 1))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 x)) eps)))))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) #s(hole binary64 (* (pow eps 2) (+ 1 (* -1 (/ (+ (* -2 x) (+ (* -1 x) (* -1 (/ (pow x 2) eps)))) eps)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
(sin.f64 (*.f64 eps #s(literal 1/2 binary64))) |
(*.f64 eps #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) eps) |
#s(literal 1/2 binary64) |
eps |
#s(literal -2 binary64) |
(sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) |
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x))))) |
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x)))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x x))))) |
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) |
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x x))) |
(fma.f64 eps #s(literal 1/2 binary64) (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 #s(literal 1/2 binary64) (+.f64 x x))) |
(fma.f64 #s(literal 1/2 binary64) eps (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x x))) |
(+.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x x)) (-.f64 eps #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) (+.f64 x x))) (-.f64 eps (+.f64 x x))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)))) (+.f64 eps (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps) (*.f64 (*.f64 x x) x)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (+.f64 x eps) x)))) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 eps eps (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps (+.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 #s(literal -8 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 eps eps (fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)) (*.f64 eps (*.f64 x #s(literal -2 binary64)))))) |
(neg.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) eps)) |
(fma.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) |
(fma.f64 #s(literal 2 binary64) x eps) |
(fma.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps)) x) |
(fma.f64 x #s(literal 2 binary64) eps) |
(-.f64 (+.f64 x eps) (neg.f64 x)) |
(-.f64 eps (neg.f64 (+.f64 x x))) |
(-.f64 eps (*.f64 x #s(literal -2 binary64))) |
(+.f64 (+.f64 x x) eps) |
(+.f64 (+.f64 x eps) x) |
(+.f64 x (+.f64 x eps)) |
(+.f64 eps (neg.f64 (*.f64 x #s(literal -2 binary64)))) |
(+.f64 eps (+.f64 x x)) |
(*.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps))) |
(*.f64 (+.f64 x eps) (/.f64 (-.f64 x eps) (-.f64 x eps))) |
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 x x)) (-.f64 eps x)) |
(/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 eps eps (-.f64 (*.f64 x x) (*.f64 x eps)))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 eps eps) eps)) (fma.f64 x x (-.f64 (*.f64 eps eps) (*.f64 x eps)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x eps) (+.f64 x eps))) (neg.f64 (-.f64 x eps))) |
(/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps)) |
(-.f64 x (neg.f64 eps)) |
(-.f64 eps (neg.f64 x)) |
(+.f64 x eps) |
(+.f64 eps x) |
x |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (+.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) (+.f64 x (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))))) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x))))) |
(neg.f64 (-.f64 (cos.f64 x) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))) |
(-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x)) |
(+.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (neg.f64 (cos.f64 x))) |
(neg.f64 (sin.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64))))) |
(neg.f64 (sin.f64 (-.f64 eps (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) |
(neg.f64 (sin.f64 (-.f64 x (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)))) |
(sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) |
(fma.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 eps) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) |
(fma.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 x eps)) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 (+.f64 x eps))))) |
(fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 eps) (*.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 eps)))) |
(fma.f64 (neg.f64 (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)))) |
(fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (cos.f64 x) (*.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))) |
(-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 eps)) (*.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 eps))) |
(-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (cos.f64 x)) (*.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 x))) |
(-.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (+.f64 x eps)))) |
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 x) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)))) |
(+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 eps)) (*.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 eps)))) |
(+.f64 (*.f64 (sin.f64 (neg.f64 eps)) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64))))) (*.f64 (cos.f64 eps) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) |
(+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (cos.f64 x)) (*.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 x)))) |
(+.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cos.f64 (+.f64 x eps))) (*.f64 (cos.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sin.f64 (neg.f64 (+.f64 x eps))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (+.f64 x eps) (+.f64 x eps))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (+.f64 x eps))) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (*.f64 eps eps)) (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) (*.f64 x x)) (+.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 x eps))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (*.f64 (*.f64 eps eps) eps)) (fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) (fma.f64 eps eps (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) (fma.f64 x x (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x)))) |
(neg.f64 (-.f64 (+.f64 x eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) |
(neg.f64 (-.f64 eps (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))) |
(neg.f64 (-.f64 x (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))) |
(fma.f64 #s(literal -1 binary64) x (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) |
(fma.f64 #s(literal -1 binary64) eps (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) |
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (+.f64 x eps))) |
(fma.f64 x #s(literal -1 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) |
(fma.f64 eps #s(literal -1 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (neg.f64 (+.f64 x eps))) |
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps) |
(-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x) |
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(fma.f64 x eps (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(fma.f64 eps x (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 (neg.f64 x) eps)) |
(-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (neg.f64 (*.f64 x eps))) |
(+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (*.f64 x eps)) |
(+.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) (+.f64 x eps))) |
(*.f64 x eps) |
(*.f64 eps x) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) x)) x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))) x (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) x (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal -2 binary64)))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) x (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 x (fma.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) x) #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) x) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 eps #s(literal 1/2 binary64))) |
#s(approx (* (+ (+ eps x) x) 1/2) (fma.f64 eps #s(literal 1/2 binary64) x)) |
#s(approx (+ (+ eps x) x) eps) |
#s(approx (+ (+ eps x) x) (fma.f64 #s(literal 2 binary64) x eps)) |
#s(approx (+ eps x) (+.f64 x eps)) |
#s(approx x x) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) #s(literal 1 binary64))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (fma.f64 (neg.f64 x) (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))) #s(literal 1 binary64))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x (neg.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) x (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))) #s(literal 1 binary64))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (fma.f64 (fma.f64 x (+.f64 (fma.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) x))) (neg.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) x (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))) #s(literal 1 binary64))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (fma.f64 (neg.f64 x) (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) x) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) x (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) #s(literal -1/2 binary64))) x (neg.f64 (cos.f64 (-.f64 eps (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) x (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps)) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) |
#s(approx (cos x) #s(literal 1 binary64)) |
#s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (cos x) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (fma.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))))) x (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)))))))) |
#s(approx (* (+ x eps) (- x eps)) (neg.f64 (*.f64 eps eps))) |
#s(approx (* (+ x eps) (- x eps)) (fma.f64 (*.f64 #s(literal 0 binary64) eps) x (neg.f64 (*.f64 eps eps)))) |
#s(approx (* (+ x eps) (- x eps)) (fma.f64 (+.f64 (-.f64 x eps) eps) x (neg.f64 (*.f64 eps eps)))) |
#s(approx (- x eps) (neg.f64 eps)) |
#s(approx (- x eps) (-.f64 x eps)) |
#s(approx (- x x) #s(literal 0 binary64)) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) eps) x) eps (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (fma.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps)))) x))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (*.f64 eps eps) eps)) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) eps) x) eps (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps))) x (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 eps eps)) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) eps x) eps) x (*.f64 eps eps))) |
#s(approx (* x eps) (*.f64 x eps)) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (+ (+ eps x) x) (+.f64 x x)) |
#s(approx (+ (+ eps x) x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 2 binary64)) x)) |
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 eps x) #s(literal 1 binary64)) x)) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (neg.f64 x)) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 eps x)) x)) |
#s(approx (cos x) (cos.f64 x)) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 x x)) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 (neg.f64 eps) x) (/.f64 (neg.f64 (*.f64 eps eps)) (*.f64 x x))) (/.f64 eps x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- x eps) (*.f64 (+.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)) x)) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (*.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps)) (*.f64 x x))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 x x))))) (*.f64 x x))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (*.f64 x x) eps)) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps) (*.f64 x x))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (+.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) (/.f64 (*.f64 (*.f64 eps eps) eps) (*.f64 x x))) eps) (*.f64 x x))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 eps x) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 eps x) (/.f64 (*.f64 eps eps) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 2 binary64)))) |
#s(approx (+ eps x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 eps) x) #s(literal 1 binary64)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) eps) x)) #s(literal 1 binary64)))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (sin.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 eps eps) x) (neg.f64 (*.f64 #s(literal 0 binary64) eps))) x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- x eps) (*.f64 (neg.f64 x) (-.f64 (/.f64 eps x) #s(literal 1 binary64)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) eps) x) #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 eps #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) x) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) eps) #s(literal 1/2 binary64))) x))) (*.f64 x x))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 eps #s(literal -3 binary64)) eps) x)) eps) (*.f64 x x))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 eps #s(literal -3 binary64)) eps (neg.f64 (/.f64 (*.f64 (*.f64 eps eps) eps) x))) x)) eps) (*.f64 x x))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 eps #s(literal -3 binary64)) x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 eps #s(literal -3 binary64) (/.f64 (neg.f64 (*.f64 eps eps)) x)) x)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) eps) #s(literal -2 binary64) (*.f64 (cos.f64 x) #s(literal -1/2 binary64))) eps (neg.f64 (sin.f64 x))) eps)) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps)) |
#s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) |
#s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) |
#s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) |
#s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) |
#s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) |
#s(approx (sin (* 1/2 eps)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 eps eps) #s(literal 1/3840 binary64)) (*.f64 eps eps) #s(literal -1/48 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)) eps)) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 x)) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/2 binary64) (sin.f64 x))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) eps) #s(literal -1/8 binary64) (*.f64 (cos.f64 x) #s(literal 1/2 binary64))) (sin.f64 x))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) (cos.f64 x))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (fma.f64 (neg.f64 eps) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))) (cos.f64 x))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) eps (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))) (cos.f64 x))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64))) eps (neg.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) eps (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))) (cos.f64 x))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (fma.f64 (neg.f64 eps) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (fma.f64 (fma.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) eps) #s(literal -1/2 binary64) (neg.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) eps (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) #s(literal -1/2 binary64))) eps (neg.f64 (cos.f64 (-.f64 x (*.f64 (PI.f64) #s(literal 1/2 binary64)))))) eps (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x)) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (*.f64 (sin.f64 x) eps) #s(literal 1/2 binary64))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps)) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (fma.f64 eps (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) eps (*.f64 #s(literal 1/4 binary64) (cos.f64 x))) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps)) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/4 binary64) (*.f64 (fma.f64 (sin.f64 x) #s(literal -1/12 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (*.f64 (sin.f64 x) #s(literal 1/2 binary64))) eps)) |
#s(approx (* (+ x eps) (- x eps)) (fma.f64 #s(literal 0 binary64) eps (*.f64 x x))) |
#s(approx (* (+ x eps) (- x eps)) (fma.f64 (+.f64 (-.f64 x eps) (neg.f64 x)) eps (*.f64 x x))) |
#s(approx (- x eps) (-.f64 x eps)) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps)) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) x eps)) eps (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) eps)) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps)) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) x eps) eps (*.f64 x x)) eps)) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (fma.f64 #s(literal 3 binary64) x eps) eps (*.f64 x x))) |
#s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64))) |
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps)) |
#s(approx (+ (+ eps x) x) (*.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64)) eps)) |
#s(approx (+ eps x) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (*.f64 (-.f64 (-.f64 (*.f64 (/.f64 (PI.f64) eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x eps)) eps)) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (- x eps) (*.f64 (-.f64 (/.f64 x eps) #s(literal 1 binary64)) eps)) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))))) |
#s(approx (sin (* (+ (+ eps x) x) 1/2)) (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1/2 binary64)))) |
#s(approx (+ (+ eps x) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -2 binary64) #s(literal -1 binary64)))) |
#s(approx (+ eps x) (*.f64 (neg.f64 eps) (-.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))) |
#s(approx (- (sin (- (* (PI) 1/2) (+ x eps))) (cos x)) (-.f64 (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) (cos.f64 x))) |
#s(approx (sin (- (* (PI) 1/2) (+ x eps))) (sin.f64 (-.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps))) |
#s(approx (- (* (PI) 1/2) (+ x eps)) (*.f64 (neg.f64 eps) (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) x) eps)) #s(literal 1 binary64)))) |
#s(approx (* (sin (* (+ (+ eps x) x) 1/2)) (sin (* eps 1/2))) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x x) (neg.f64 eps)) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (/.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (* (+ x eps) (- x eps)) (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x x) eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (- x eps) (*.f64 (neg.f64 eps) (+.f64 (/.f64 (neg.f64 x) eps) #s(literal 1 binary64)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 x eps) #s(literal -3 binary64)) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 x x) eps) #s(literal 1/2 binary64))) eps)) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (neg.f64 (*.f64 (fma.f64 (/.f64 x eps) #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) (/.f64 (*.f64 x x) eps)) eps)) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) eps)))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (/.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) eps) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) (neg.f64 (/.f64 (*.f64 x x) eps))) eps)) #s(literal 1 binary64)) (*.f64 eps eps))) |
Compiled 5 865 to 2 137 computations (63.6% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 442 | 21 | 463 |
| Fresh | 4 | 2 | 6 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 3 | 4 |
| Total | 452 | 26 | 478 |
| Status | Accuracy | Program |
|---|---|---|
| 54.7% | (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) | |
| ✓ | 54.7% | (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) |
| ✓ | 54.7% | (-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
| 53.4% | (-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 54.5% | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) #s(approx (- x eps) (neg.f64 eps))) #s(approx (- x eps) (neg.f64 eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) | |
| 34.9% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64)) | |
| 39.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)))))) #s(literal -2 binary64)) | |
| 37.5% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps)))))) #s(literal -2 binary64)) | |
| 39.5% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps))) x (*.f64 (*.f64 eps eps) eps))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) | |
| 33.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) | |
| 33.6% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps) (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) | |
| 34.8% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) | |
| 36.7% | (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))) #s(literal -2 binary64)) | |
| 99.8% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))))) | |
| 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) | |
| 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) | |
| 99.5% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) | |
| 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps)))) | |
| 99.6% | (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x)))) | |
| 99.6% | (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) | |
| 99.6% | (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) | |
| 99.5% | (*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) | |
| 99.5% | #s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps)) | |
| 99.0% | #s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)) | |
| 81.8% | #s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
Compiled 1 104 to 803 computations (27.3% saved)
| Inputs |
|---|
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)) |
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) #s(approx (- x eps) (neg.f64 eps))) #s(approx (- x eps) (neg.f64 eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps)))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps) (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps))) x (*.f64 (*.f64 eps eps) eps))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps)) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (fma.f64 (cos.f64 x) (cos.f64 x) (*.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x))) (cos.f64 x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64)))))) |
3 calls:
| 10.0ms | eps |
| 10.0ms | x |
| 8.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 99.8% | 1 | x |
| 99.8% | 1 | eps |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x))) |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal -2 binary64)) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (cos.f64 x) (neg.f64 (sin.f64 x))) eps)) |
(-.f64 (sin.f64 (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (+.f64 (/.f64 x eps) #s(literal 1/2 binary64)) eps)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 #s(approx (* (+ (+ eps x) x) 1/2) (*.f64 (fma.f64 (/.f64 eps x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 x eps) x))) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (+.f64 x eps) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (-.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) eps) #s(literal 1/2 binary64)) (*.f64 eps eps)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) #s(approx (- x eps) (neg.f64 eps))) #s(approx (- x eps) (neg.f64 eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) (sin.f64 (*.f64 (fma.f64 (*.f64 (-.f64 x eps) (+.f64 x eps)) (/.f64 #s(literal 1 binary64) (-.f64 x eps)) x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x eps) (-.f64 x eps)) (-.f64 x eps)) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) eps) x (*.f64 eps eps)))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x))) eps) #s(literal 1/2 binary64)) #s(approx (+ (* (+ x eps) (+ x eps)) (* x eps)) (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) eps (*.f64 x x)) eps)) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps)) eps) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (*.f64 (fma.f64 (*.f64 eps eps) eps (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x eps) (*.f64 eps eps)))) x) #s(literal 1/2 binary64))) (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) #s(literal 1/2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (*.f64 (fma.f64 eps (/.f64 (*.f64 #s(literal 3 binary64) eps) x) eps) (*.f64 x x))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cos.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) x) (PI.f64)) (+.f64 (-.f64 (neg.f64 x) eps) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 (*.f64 #s(approx (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) (fma.f64 (*.f64 eps (+.f64 x (*.f64 #s(literal 3 binary64) eps))) x (*.f64 (*.f64 eps eps) eps))) #s(literal 1/2 binary64)) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64))) (sin.f64 (/.f64 #s(approx (* (* (+ (* (+ x eps) (+ x eps)) (* x eps)) eps) 1/2) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 x eps) (/.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) eps))) (fma.f64 (+.f64 x eps) (+.f64 x eps) (*.f64 x eps))))) #s(literal -2 binary64)) |
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (fma.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 (sin.f64 x) #s(literal -1/12 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal 1/24 binary64))) eps)) eps (neg.f64 (sin.f64 x))) eps)) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 eps x))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (+.f64 (cos.f64 x) (cos.f64 (+.f64 eps x)))) |
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))) |
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) |
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) |
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -2 binary64)) #s(approx (sin (* (+ (+ eps x) x) 1/2)) (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/8 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/48 binary64))) eps)) (sin.f64 x)))) |
| Outputs |
|---|
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/322560 binary64) (*.f64 eps eps) #s(literal -1/1920 binary64)) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
3 calls:
| 10.0ms | x |
| 10.0ms | eps |
| 7.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 99.6% | 1 | x |
| 99.6% | 1 | eps |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Outputs |
|---|
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (fma.f64 #s(literal -1/1920 binary64) (*.f64 eps eps) #s(literal 1/24 binary64)) (*.f64 eps eps) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
3 calls:
| 2.0ms | x |
| 2.0ms | eps |
| 1.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 99.6% | 1 | x |
| 99.6% | 1 | eps |
Compiled 8 to 10 computations (-25% saved)
| Inputs |
|---|
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (* (sin (* 1/2 eps)) -2) (*.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/24 binary64) #s(literal -1 binary64)) eps)) (sin.f64 (*.f64 (+.f64 (+.f64 eps x) x) #s(literal 1/2 binary64)))) |
3 calls:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 99.5% | 1 | x |
| 99.5% | 1 | eps |
Compiled 8 to 10 computations (-25% saved)
Total -18.2b remaining (-157.1%)
Threshold costs -18.2b (-157.1%)
| Inputs |
|---|
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
(-.f64 (sin.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 x eps))) #s(approx (cos x) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* (* (sin (* 1/2 eps)) -2) (sin (* (+ (+ eps x) x) 1/2))) (*.f64 (neg.f64 eps) (sin.f64 x))) |
3 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 1.0ms | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) |
| 81.8% | 1 | x |
| 81.8% | 1 | eps |
Compiled 8 to 10 computations (-25% saved)
| 1× | fuel |
Compiled 72 to 55 computations (23.6% saved)
Compiled 106 to 86 computations (18.9% saved)
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