
Time bar (total: 10.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 5 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 6 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 7 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 8 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 9 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 10 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 11 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 12 |
Compiled 12 to 10 computations (16.7% saved)
| 1.4s | 1 583× | 5 | exit |
| 1.3s | 2 473× | 2 | valid |
| 743.0ms | 3 679× | 1 | valid |
| 383.0ms | 3 269× | 0 | invalid |
| 218.0ms | 2 104× | 0 | valid |
ival-cos: 1.5s (41.3% of total)ival-fmod: 780.0ms (21.4% of total)ival-exp: 635.0ms (17.4% of total)adjust: 256.0ms (7% of total)ival-sqrt: 231.0ms (6.3% of total)ival-mult: 158.0ms (4.3% of total)ival-neg: 62.0ms (1.7% of total)ival-true: 10.0ms (0.3% of total)ival-assert: 5.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 195 | 0 | - | 195 | (1.744107477326735e-117) | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (cos.f64 x)) |
| 0 | 0 | - | 0 | - | (cos.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 x)) |
| 0 | 0 | - | 0 | - | (neg.f64 x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 251 |
| - | 0 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 251 |
| - | 0 | 0 | 5 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 59.0ms | 144× | 2 | valid |
| 47.0ms | 230× | 1 | valid |
| 15.0ms | 112× | 1 | exit |
| 3.0ms | 26× | 0 | valid |
Compiled 72 to 28 computations (61.1% saved)
ival-exp: 29.0ms (28.6% of total)ival-fmod: 26.0ms (25.7% of total)ival-cos: 20.0ms (19.8% of total)adjust: 10.0ms (9.9% of total)ival-sqrt: 8.0ms (7.9% of total)ival-mult: 5.0ms (4.9% of total)ival-neg: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | sub-neg |
| 28× | div-sub |
| 24× | lower-*.f32 |
| 22× | lower-*.f64 |
| 22× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 29 | 21 |
| 2 | 68 | 21 |
| 3 | 122 | 21 |
| 4 | 168 | 21 |
| 5 | 188 | 21 |
| 6 | 205 | 21 |
| 7 | 224 | 21 |
| 8 | 231 | 21 |
| 0 | 8 | 10 |
| 0 | 15 | 10 |
| 1 | 22 | 10 |
| 2 | 32 | 9 |
| 3 | 38 | 9 |
| 4 | 43 | 9 |
| 5 | 49 | 9 |
| 6 | 56 | 9 |
| 7 | 62 | 9 |
| 8 | 63 | 9 |
| 0 | 63 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
Compiled 10 to 8 computations (20% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.8% | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 10 to 8 computations (20% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (cos.f64 x)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 24× | lower-*.f32 |
| 22× | lower-*.f64 |
| 12× | lower-/.f32 |
| 12× | lower-/.f64 |
| 8× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 15 | 29 |
| 1 | 22 | 29 |
| 2 | 32 | 28 |
| 3 | 38 | 28 |
| 4 | 43 | 28 |
| 5 | 49 | 28 |
| 6 | 56 | 28 |
| 7 | 62 | 28 |
| 8 | 63 | 28 |
| 0 | 63 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
| 34.0ms | 72× | 2 | valid |
| 23.0ms | 115× | 1 | valid |
| 7.0ms | 56× | 1 | exit |
| 1.0ms | 13× | 0 | valid |
Compiled 31 to 10 computations (67.7% saved)
ival-exp: 19.0ms (34.5% of total)ival-fmod: 13.0ms (23.6% of total)ival-cos: 10.0ms (18.2% of total)adjust: 5.0ms (9.1% of total)ival-sqrt: 4.0ms (7.3% of total)ival-mult: 3.0ms (5.5% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) (taylor inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (exp x) (taylor -inf x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (cos x) (taylor -inf x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 1.0ms | x | @ | inf | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 1.0ms | x | @ | -inf | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 1× | egg-herbie |
| 13 324× | lower-fma.f64 |
| 13 324× | lower-fma.f32 |
| 3 658× | lower-*.f64 |
| 3 658× | lower-*.f32 |
| 2 382× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 76 | 401 |
| 1 | 181 | 380 |
| 2 | 413 | 368 |
| 3 | 1050 | 358 |
| 4 | 1888 | 358 |
| 5 | 3537 | 358 |
| 6 | 4860 | 358 |
| 7 | 6181 | 358 |
| 8 | 7674 | 358 |
| 0 | 8041 | 336 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(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)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(cos x) |
(cos.f64 x) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 612× | lower-*.f32 |
| 610× | lower-*.f64 |
| 600× | lower-/.f64 |
| 600× | lower-/.f32 |
| 252× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 15 | 23 |
| 1 | 24 | 22 |
| 2 | 63 | 22 |
| 3 | 257 | 22 |
| 0 | 1992 | 22 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x))) |
(exp.f64 x) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x))) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(exp.f64 (fma.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x)) (*.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (cos.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x))) |
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64)))) |
(cos.f64 x) |
(exp.f64 (log.f64 (cos.f64 x))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) |
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x)) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(/.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) #s(literal 1 binary64)) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x))) |
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x)))) |
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Compiled 1 579 to 280 computations (82.3% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 116 | 8 | 124 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 117 | 8 | 125 |
| Status | Accuracy | Program |
|---|---|---|
| 6.9% | (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) | |
| ▶ | 6.8% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| 6.8% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| ▶ | 6.8% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
| ▶ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ▶ | 25.4% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 5.9% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| ▶ | 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Compiled 214 to 160 computations (25.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) | |
| cost-diff | 6720 | (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) | |
| cost-diff | 25472 | (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| cost-diff | 0 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (exp.f64 (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cos.f64 x) | |
| cost-diff | 0 | (sqrt.f64 (cos.f64 x)) | |
| cost-diff | 0 | #s(approx (exp x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| 21 792× | lower-fma.f32 |
| 21 784× | lower-fma.f64 |
| 2 556× | lower-*.f32 |
| 2 544× | lower-+.f64 |
| 2 544× | lower-+.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 294 |
| 0 | 74 | 272 |
| 1 | 104 | 267 |
| 2 | 165 | 254 |
| 3 | 282 | 253 |
| 4 | 801 | 253 |
| 5 | 1789 | 253 |
| 6 | 2727 | 253 |
| 7 | 3677 | 253 |
| 8 | 4557 | 253 |
| 9 | 5220 | 253 |
| 10 | 5698 | 253 |
| 11 | 6012 | 253 |
| 12 | 6195 | 253 |
| 13 | 6415 | 253 |
| 14 | 6531 | 253 |
| 15 | 6729 | 253 |
| 16 | 6770 | 253 |
| 17 | 6791 | 253 |
| 18 | 6806 | 253 |
| 19 | 6812 | 253 |
| 20 | 6812 | 253 |
| 21 | 7690 | 253 |
| 0 | 8070 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) |
(exp.f64 x) |
x |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) |
(cos.f64 x) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
#s(literal 1 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp.f64 x) |
x |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(sqrt.f64 (cos.f64 x)) |
(pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) |
(cos.f64 x) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) | |
| accuracy | 0.24060329819180526 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.26580106588293073 | #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) | |
| accuracy | 0 | (exp.f64 x) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.42206860685978276 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| accuracy | 0 | (cos.f64 x) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) | |
| accuracy | 1.035700285293636 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 45.60978576724934 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
| 224.0ms | 72× | 2 | valid |
| 103.0ms | 115× | 1 | valid |
| 23.0ms | 56× | 1 | exit |
| 4.0ms | 13× | 0 | valid |
Compiled 255 to 33 computations (87.1% saved)
ival-pow: 180.0ms (59.9% of total)ival-mult: 31.0ms (10.3% of total)ival-fmod: 28.0ms (9.3% of total)adjust: 20.0ms (6.7% of total)ival-exp: 16.0ms (5.3% of total)ival-cos: 10.0ms (3.3% of total)ival-sqrt: 4.0ms (1.3% of total)const: 4.0ms (1.3% of total)ival-add: 4.0ms (1.3% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) (patch (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) (patch (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (patch (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow x 2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) (taylor 0 x) (#s(alt (cos.f64 x) (patch (cos.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (patch (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (cos x)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (cos x)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (cos x)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow (* 1 (cos x)) 1/4) (taylor -inf x) (#s(alt (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (patch (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 128.0ms | x | @ | inf | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4))) (* (pow (cos x) 1/8) (pow (cos x) 1/4)) (fmod (exp x) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4)))) (exp (neg x))) (pow (cos x) 1/4)) |
| 91.0ms | x | @ | 0 | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4))) (* (pow (cos x) 1/8) (pow (cos x) 1/4)) (fmod (exp x) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4)))) (exp (neg x))) (pow (cos x) 1/4)) |
| 71.0ms | x | @ | -inf | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (cos x) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (+ (* (* x x) -1/4) 1) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4))) (* (pow (cos x) 1/8) (pow (cos x) 1/4)) (fmod (exp x) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (* (fmod (exp x) (* (pow (cos x) 1/8) (* (pow (cos x) 1/8) (pow (cos x) 1/4)))) (exp (neg x))) (pow (cos x) 1/4)) |
| 1× | egg-herbie |
| 16 656× | lower-fma.f64 |
| 16 656× | lower-fma.f32 |
| 4 538× | lower-*.f64 |
| 4 538× | lower-*.f32 |
| 2 924× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 2433 |
| 1 | 531 | 2273 |
| 2 | 1615 | 2161 |
| 3 | 3982 | 2100 |
| 0 | 8324 | 1984 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* -1/4 (pow x 2))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
1 |
(+ 1 (* -3/16 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -7/512 (pow x 2)) 3/16))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -439/122880 (pow x 2)) 7/512)) 3/16))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -5/384 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -151/46080 (pow x 2)) 5/384)) 1/8))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(pow (* 1 (cos x)) 1/4) |
(pow (* 1 (cos x)) 1/4) |
(pow (* 1 (cos x)) 1/4) |
(pow (* 1 (cos x)) 1/4) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(cos x) |
(cos x) |
(cos x) |
(cos x) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(pow (* 1 (pow (cos x) 3)) 1/8) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(pow (* 1 (cos x)) 1/4) |
(pow (* 1 (cos x)) 1/4) |
(pow (* 1 (cos x)) 1/4) |
(pow (* 1 (cos x)) 1/4) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2))) |
(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)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -3/16 (pow x 2))) |
(fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -7/512 (pow x 2)) 3/16))) |
(fma.f64 (fma.f64 #s(literal -7/512 binary64) (*.f64 x x) #s(literal -3/16 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -439/122880 (pow x 2)) 7/512)) 3/16))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -439/122880 binary64) (*.f64 x x) #s(literal -7/512 binary64)) (*.f64 x x) #s(literal -3/16 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64))) x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow x 2))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -5/384 (pow x 2)) 1/8))) |
(fma.f64 (fma.f64 #s(literal -5/384 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -151/46080 (pow x 2)) 5/384)) 1/8))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -151/46080 binary64) (*.f64 x x) #s(literal -5/384 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
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(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(pow (* 1 (cos x)) 1/4) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
(pow (* 1 (cos x)) 1/4) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
(pow (* 1 (cos x)) 1/4) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
(pow (* 1 (cos x)) 1/4) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
| 8 770× | lower-fma.f32 |
| 8 762× | lower-fma.f64 |
| 5 256× | lower-*.f32 |
| 5 240× | lower-*.f64 |
| 3 286× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 238 |
| 0 | 74 | 218 |
| 1 | 167 | 195 |
| 2 | 841 | 195 |
| 0 | 8344 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 7/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/32 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 5/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 7/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 5/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/32 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/32 binary64)) (pow.f64 (cos.f64 x) #s(literal 7/16 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 7/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/8 binary64))) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 (cos.f64 x)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/8 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 (cos.f64 x))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
(cos.f64 x) |
(exp.f64 (log.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/4096 binary64) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/262144 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))) (-.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/4096 binary64) #s(literal 1 binary64)) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
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(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 (cos.f64 x)) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/8 binary64) (*.f64 #s(literal 3/8 binary64) (log.f64 (cos.f64 x))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 5/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/32 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 5/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/32 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/32 binary64)) (pow.f64 (cos.f64 x) #s(literal 5/16 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 5/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3/16 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 3/16 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) #s(literal 6 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 3 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 3/8 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/8 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/32 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/32 binary64))) |
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 3/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/32 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/32 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/16 binary64)))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) (pow.f64 (cos.f64 x) #s(literal 3/16 binary64))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (cos.f64 x))) |
(pow.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/16 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/16 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))) |
Compiled 22 838 to 2 583 computations (88.7% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 967 | 20 | 987 |
| Fresh | 3 | 0 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 974 | 21 | 995 |
| Status | Accuracy | Program |
|---|---|---|
| 6.8% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) | |
| 6.5% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 6.4% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| 6.8% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(approx (* (pow (cos x) 1/8) (pow (cos x) 1/4)) (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| 6.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| 6.4% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 6.8% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) |
| 2.9% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) | |
| ✓ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 6.2% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| 6.2% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 5.9% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| ▶ | 4.1% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
| 4.2% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64))) | |
| ▶ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) | |
| ▶ | 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) | |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))))) | |
| 4.1% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
Compiled 883 to 550 computations (37.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (sqrt.f64 (cos.f64 x)) | |
| cost-diff | 0 | #s(approx (exp x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (exp.f64 (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
| 10 034× | lower-fma.f32 |
| 10 020× | lower-fma.f64 |
| 3 384× | lower-*.f32 |
| 3 372× | lower-*.f64 |
| 1 308× | lower--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 377 |
| 0 | 86 | 377 |
| 1 | 123 | 377 |
| 2 | 189 | 374 |
| 3 | 331 | 374 |
| 4 | 867 | 374 |
| 5 | 1824 | 374 |
| 6 | 2820 | 374 |
| 7 | 3769 | 374 |
| 8 | 4688 | 374 |
| 9 | 5682 | 374 |
| 10 | 5999 | 374 |
| 11 | 6049 | 374 |
| 12 | 6205 | 374 |
| 13 | 6284 | 374 |
| 14 | 6612 | 374 |
| 15 | 7947 | 374 |
| 0 | 8018 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/16 binary64) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 x x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
x |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
x |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
(*.f64 x x) |
#s(literal -1/4 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(exp.f64 x) |
x |
#s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
#s(approx (sqrt (cos x)) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/16 binary64) |
#s(literal -1 binary64) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) |
#s(literal -1/4 binary64) |
(*.f64 x x) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.26580106588293073 | #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) | |
| accuracy | 0.015625 | (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) | |
| accuracy | 0.24060329819180526 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| accuracy | 0.2461035527574512 | #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.4444008668116765 | #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.035700285293636 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 45.60978576724934 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) | |
| accuracy | 0.42206860685978276 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 1.0473054791928456 | #s(approx (exp (neg x)) #s(literal 1 binary64)) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) | |
| accuracy | 0.42206860685978276 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 1.035700285293636 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 45.60978576724934 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
| 93.0ms | 115× | 1 | valid |
| 58.0ms | 72× | 2 | valid |
| 21.0ms | 56× | 1 | exit |
| 4.0ms | 13× | 0 | valid |
Compiled 251 to 37 computations (85.3% saved)
adjust: 21.0ms (19.9% of total)ival-mult: 19.0ms (18% of total)ival-exp: 15.0ms (14.2% of total)ival-fmod: 13.0ms (12.3% of total)ival-cos: 10.0ms (9.5% of total)ival-add: 8.0ms (7.6% of total)const: 7.0ms (6.6% of total)ival-sqrt: 4.0ms (3.8% of total)ival-pow: 4.0ms (3.8% of total)ival-div: 2.0ms (1.9% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (patch (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (patch (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (patch #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (patch (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg x)) #s(literal 1 binary64)) (patch #s(approx (exp (neg x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 x) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (taylor 0 x) (#s(alt (exp.f64 (neg.f64 x)) (patch (exp.f64 (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* 1/2 x)))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (taylor 0 x) (#s(alt (exp.f64 x) (patch (exp.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/4 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) (taylor 0 x) (#s(alt (sqrt.f64 (cos.f64 x)) (patch (sqrt.f64 (cos.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) (patch (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (+ (* (pow x 4) 1/16) -1) (+ (* -1/4 (* x x)) -1)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 1.0ms | x | @ | -inf | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (+ (* (pow x 4) 1/16) -1) (+ (* -1/4 (* x x)) -1)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 1.0ms | x | @ | 0 | ((fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (exp (neg x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (* (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (fmod (exp x) (sqrt (cos x)))) (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (+ (* (+ (* -1/6 x) 1/2) x) -1) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (/ (+ (* (pow x 4) 1/16) -1) (+ (* -1/4 (* x x)) -1)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (exp (neg x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))) |
| 1× | egg-herbie |
| 18 316× | lower-fma.f64 |
| 18 316× | lower-fma.f32 |
| 4 500× | lower-*.f64 |
| 4 500× | lower-*.f32 |
| 2 770× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 2319 |
| 1 | 426 | 2157 |
| 2 | 1381 | 2045 |
| 3 | 4834 | 1992 |
| 0 | 8384 | 1884 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
-1 |
(- (* 1/2 x) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* -1/4 (pow x 2))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* -1/6 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 x) 1) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(- (* x (+ 1/2 (* -1/6 x))) 1) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* (pow x 3) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (/ (fmod (exp x) (sqrt (cos x))) (pow x 3)))))) |
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(exp (neg x)) |
(exp.f64 (neg.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) x)) (fmod (exp x) (sqrt (cos x)))) x)) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(*.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) x) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) x) x) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1/4)) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
| 7 512× | lower-fma.f32 |
| 7 498× | lower-fma.f64 |
| 3 960× | lower-/.f32 |
| 3 958× | lower-/.f64 |
| 3 756× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 292 |
| 0 | 86 | 292 |
| 1 | 229 | 265 |
| 2 | 1416 | 265 |
| 0 | 8558 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(exp.f64 x) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(sqrt.f64 (cos.f64 x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
#s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 x)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 x)) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) |
(/.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
(*.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) |
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64)) |
(sqrt.f64 (cos.f64 x)) |
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) (-.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (-.f64 (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
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(/.f64 (/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
(/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64)))))) (fma.f64 #s(literal 1/4096 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64)) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/256 binary64)) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))) |
Compiled 16 065 to 1 520 computations (90.5% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 635 | 15 | 650 |
| Fresh | 9 | 6 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 647 | 24 | 671 |
| Status | Accuracy | Program |
|---|---|---|
| 6.8% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) | |
| 6.5% | (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) | |
| 6.4% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| 6.8% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(approx (* (pow (cos x) 1/8) (pow (cos x) 1/4)) (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| 2.9% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (/ (+ (* (pow x 4) 1/16) -1) (+ (* -1/4 (* x x)) -1)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) | |
| ✓ | 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
| ▶ | 6.7% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
| 18.0% | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) | |
| ▶ | 27.4% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| ✓ | 4.1% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) | |
| ▶ | 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
| 6.1% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| ✓ | 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
| 6.6% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.6% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| ▶ | 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))))) | |
| 4.1% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
Compiled 1 265 to 739 computations (41.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) | |
| cost-diff | 256 | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x)) | |
| cost-diff | 384 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) | |
| cost-diff | 3328 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| 16 060× | lower-fma.f32 |
| 16 044× | lower-fma.f64 |
| 4 076× | lower-*.f32 |
| 4 056× | lower-*.f64 |
| 3 640× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 776 |
| 0 | 110 | 776 |
| 1 | 183 | 772 |
| 2 | 339 | 762 |
| 3 | 1161 | 684 |
| 4 | 6515 | 684 |
| 0 | 8040 | 673 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x)) |
(neg.f64 x) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) |
(*.f64 x x) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
(fmod.f64 #s(approx (exp x) (-.f64 x #s(literal -1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x)))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (cos.f64 x)) |
(cos.f64 x) |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(neg.f64 x) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/6 binary64) |
x |
#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(exp.f64 x) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) |
(fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) |
(*.f64 x x) |
#s(literal -1/96 binary64) |
#s(literal -1/4 binary64) |
(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0.24060329819180526 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) | |
| accuracy | 0.2461035527574512 | #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.03125 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) | |
| accuracy | 0.24060329819180526 | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| accuracy | 0.2461035527574512 | #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 45.60978576724934 | (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 0.015625 | (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.2959647661117214 | #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) | |
| accuracy | 0.4444008668116765 | #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 45.60978576724934 | (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) | |
| accuracy | 0.42206860685978276 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 1.035700285293636 | #s(approx (exp x) #s(literal 1 binary64)) | |
| accuracy | 1.0473054791928456 | #s(approx (exp (neg x)) #s(literal 1 binary64)) | |
| accuracy | 45.60978576724934 | (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) | |
| accuracy | 0.42206860685978276 | #s(approx (sqrt (cos x)) #s(literal 1 binary64)) | |
| accuracy | 0.46141233771691864 | #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 1.0473054791928456 | #s(approx (exp (neg x)) #s(literal 1 binary64)) | |
| accuracy | 45.60978576724934 | (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
| 183.0ms | 69× | 2 | valid |
| 86.0ms | 115× | 1 | valid |
| 26.0ms | 56× | 1 | exit |
| 6.0ms | 16× | 0 | valid |
Compiled 555 to 50 computations (91% saved)
adjust: 140.0ms (55.4% of total)ival-mult: 26.0ms (10.3% of total)ival-exp: 16.0ms (6.3% of total)ival-add: 16.0ms (6.3% of total)ival-fmod: 13.0ms (5.1% of total)ival-cos: 11.0ms (4.4% of total)ival-sub: 7.0ms (2.8% of total)const: 7.0ms (2.8% of total)ival-div: 6.0ms (2.4% of total)ival-sqrt: 5.0ms (2% of total)ival-pow2: 4.0ms (1.6% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (patch (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) #s(literal 1 binary64)) (patch #s(approx (exp x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) #s(literal 1 binary64)) (patch #s(approx (sqrt (cos x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (patch (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) (patch (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (patch #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (patch (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (patch (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x)) (patch (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (patch (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg x)) #s(literal 1 binary64)) (patch #s(approx (exp (neg x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (fmod (exp x) (sqrt (cos x))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) (taylor 0 x) (#s(alt (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) (patch (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) (taylor -inf x) (#s(alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) (patch #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) #<representation binary64>) () ())) ()) |
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#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (fmod (exp x) (sqrt (cos x))) (taylor -inf x) (#s(alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (patch (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (sqrt (cos x)) (taylor -inf x) (#s(alt #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) (patch #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (/ (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x))) (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (/ 1 (/ (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (* (fmod (exp x) (sqrt (cos x))) (- (pow (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 2) 1)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (* (fmod (exp x) (sqrt (cos x))) (- (pow (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 2) 1))) (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (exp (neg x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x))) |
| 3.0ms | x | @ | -inf | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (/ (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x))) (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (/ 1 (/ (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (* (fmod (exp x) (sqrt (cos x))) (- (pow (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 2) 1)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (* (fmod (exp x) (sqrt (cos x))) (- (pow (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 2) 1))) (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (exp (neg x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x))) |
| 2.0ms | x | @ | 0 | ((* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ 1 x) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (exp x) (+ (* (+ (* 1/2 x) 1) x) 1) (/ (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x))) (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (/ 1 (/ (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (* (fmod (exp x) (sqrt (cos x))) (- (pow (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 2) 1)))) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/ (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (* (fmod (exp x) (sqrt (cos x))) (- (pow (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) 2) 1))) (+ (* (+ (* (+ (* -1/6 x) 1/2) x) -1) x) -1) (exp (neg x)) (exp (neg x)) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x)) (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod (exp x) (sqrt (cos x))) (sqrt (cos x))) |
| 1× | egg-herbie |
| 11 614× | lower-fma.f64 |
| 11 614× | lower-fma.f32 |
| 5 722× | lower-*.f64 |
| 5 722× | lower-*.f32 |
| 4 734× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 3319 |
| 1 | 1049 | 3062 |
| 2 | 3504 | 2861 |
| 0 | 8411 | 2749 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
1 |
(+ 1 (* -1/3 (pow x 3))) |
(+ 1 (* (pow x 3) (- (* 1/4 x) 1/3))) |
(+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -1/6 x))) 1/3))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/6 x)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/6 x)))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/6 x)))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (- (* x (- (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* -1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(/ 1 (fmod (exp x) (sqrt (cos x)))) |
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x))))) |
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x))))) |
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x))))) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* 1/2 x) 1)) 1) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fmod (exp x) (sqrt (cos x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2))))) |
(* 1/36 (pow x 6)) |
(* (pow x 6) (- 1/36 (* 1/6 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (* 1/6 (/ 1 x)))) |
(* (pow x 6) (- (+ 1/36 (/ 1/4 (pow x 2))) (+ (* 1/6 (/ 1 x)) (* 1/3 (/ 1 (pow x 3)))))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/6)) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))) 1/6)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) 1/6)) |
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) 1/6)) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* (pow x 3) (- (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x)) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))) |
(* (pow x 3) (- (+ (* -7/2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (/ (fmod (exp x) (sqrt (cos x))) x))) (+ (* -3 (/ (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)))))) |
(* (pow x 3) (- (+ (* -7/2 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1/6 (fmod (exp x) (sqrt (cos x)))) (+ (* 6 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (/ (fmod (exp x) (sqrt (cos x))) x)))) (+ (* -3 (/ (- (* -7/2 (fmod (exp x) (sqrt (cos x)))) (+ (* -3 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (* -1 (fmod (exp x) (sqrt (cos x)))))) (pow x 3))) (+ (* -3 (/ (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 2))) (+ (* -1 (/ (fmod (exp x) (sqrt (cos x))) (pow x 3))) (+ (* 1/2 (/ (fmod (exp x) (sqrt (cos x))) x)) (* 6 (/ (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) (pow x 3)))))))))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/ -6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* -1 (/ (+ (* 18 (/ 1 (* x (fmod (exp x) (sqrt (cos x)))))) (* 6 (/ 1 (fmod (exp x) (sqrt (cos x)))))) (pow x 3))) |
(/ (- (* -1 (/ (+ (* 18 (/ 1 (fmod (exp x) (sqrt (cos x))))) (* 18 (/ 1 (* x (fmod (exp x) (sqrt (cos x))))))) x)) (* 6 (/ 1 (fmod (exp x) (sqrt (cos x)))))) (pow x 3)) |
(/ (- (* 18 (/ 1 (* (pow x 3) (fmod (exp x) (sqrt (cos x)))))) (+ (* 18 (/ 1 (* (pow x 2) (fmod (exp x) (sqrt (cos x)))))) (+ (* 6 (/ 1 (fmod (exp x) (sqrt (cos x))))) (/ 18 (* x (fmod (exp x) (sqrt (cos x)))))))) (pow x 3)) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2))))) |
(* (pow x 3) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (* 1/2 (/ 1 x))) 1/6)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(exp (neg x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) |
(* 1/36 (pow x 6)) |
(* (pow x 6) (- 1/36 (* 1/6 (/ 1 x)))) |
(* (pow x 6) (+ 1/36 (* -1 (/ (- 1/6 (* 1/4 (/ 1 x))) x)))) |
(* (pow x 6) (+ 1/36 (* -1 (/ (+ 1/6 (* -1 (/ (- 1/4 (* 1/3 (/ 1 x))) x))) x)))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x))))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 7/2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 6 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 7/2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))))) (* 6 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))))) x)) (* 7/2 (fmod (exp x) (sqrt (cos x))))) (+ (* 3 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/ -6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(* -1 (/ (+ (* 18 (/ 1 (* x (fmod (exp x) (sqrt (cos x)))))) (* 6 (/ 1 (fmod (exp x) (sqrt (cos x)))))) (pow x 3))) |
(* -1 (/ (+ (* 6 (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (/ 18 (* x (fmod (exp x) (sqrt (cos x))))) (/ 18 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (fmod (exp x) (sqrt (cos x))))) (* 18 (/ 1 (* x (fmod (exp x) (sqrt (cos x))))))) x)) (* 18 (/ 1 (fmod (exp x) (sqrt (cos x)))))) x)) (* 6 (/ 1 (fmod (exp x) (sqrt (cos x)))))) (pow x 3))) |
(* -1/6 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (+ 1 (/ 1 x)) x))) x))))) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(exp (* -1 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod (exp x) (sqrt (cos x))) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
(sqrt (cos x)) |
| Outputs |
|---|
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/3 (pow x 3))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 3) (- (* 1/4 x) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 3) (- (* x (+ 1/4 (* -1/6 x))) 1/3))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/4 binary64)) x #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/6 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/6 x)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
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(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
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(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (- (* x (- (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* -1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) |
(/ 1 (fmod (exp x) (sqrt (cos x)))) |
(/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (/ 1 (fmod (exp x) (sqrt (cos x)))) (/ x (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ (* x (+ (* 1/2 (/ x (fmod (exp x) (sqrt (cos x))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(+ (* x (+ (* x (+ (* 1/6 (/ x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (/ 1 (fmod (exp x) (sqrt (cos x))))))) (/ 1 (fmod (exp x) (sqrt (cos x)))))) (/ 1 (fmod (exp x) (sqrt (cos x))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (*.f64 (*.f64 (/.f64 x (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) x)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* 1/2 x) 1)) 1) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(- (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x)))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 x x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4))) |
(fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -19/5760 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6)) |
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(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (/ 1 (pow x 2))) x))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/2 binary64)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (* 7/2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (/.f64 (-.f64 (*.f64 #s(literal 7/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -3 binary64) (*.f64 #s(literal -1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x)) (neg.f64 x)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 6 (fmod (exp x) (sqrt (cos x)))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (* 7/2 (fmod (exp x) (sqrt (cos x)))) (+ (* 3 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x)))))) (* 6 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))))) x)) (* 7/2 (fmod (exp x) (sqrt (cos x))))) (+ (* 3 (- (fmod (exp x) (sqrt (cos x))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (fmod (exp x) (sqrt (cos x))))) x)) (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))) x)) (* 1/6 (fmod (exp x) (sqrt (cos x))))))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 7/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -3 binary64) (*.f64 #s(literal -1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (/.f64 (-.f64 (fma.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 7 binary64) (*.f64 #s(literal -6 binary64) (*.f64 #s(literal 1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))) (*.f64 (-.f64 (*.f64 #s(literal 7/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fma.f64 #s(literal -3 binary64) (*.f64 #s(literal -1/2 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) #s(literal 3 binary64))) x)) (neg.f64 x))) (neg.f64 x)))) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(/ -6 (* (pow x 3) (fmod (exp x) (sqrt (cos x))))) |
(/.f64 (/.f64 #s(literal -6 binary64) (pow.f64 x #s(literal 3 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(* -1 (/ (+ (* 18 (/ 1 (* x (fmod (exp x) (sqrt (cos x)))))) (* 6 (/ 1 (fmod (exp x) (sqrt (cos x)))))) (pow x 3))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ (* 6 (/ 1 (fmod (exp x) (sqrt (cos x))))) (+ (/ 18 (* x (fmod (exp x) (sqrt (cos x))))) (/ 18 (* (pow x 2) (fmod (exp x) (sqrt (cos x))))))) (pow x 3))) |
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) x)) (/.f64 #s(literal 6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (fmod (exp x) (sqrt (cos x))))) (* 18 (/ 1 (* x (fmod (exp x) (sqrt (cos x))))))) x)) (* 18 (/ 1 (fmod (exp x) (sqrt (cos x)))))) x)) (* 6 (/ 1 (fmod (exp x) (sqrt (cos x)))))) (pow x 3))) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 #s(literal 18 binary64) (/.f64 #s(literal 18 binary64) x)) (/.f64 #s(literal 18 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) x) #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (pow.f64 x #s(literal 3 binary64))) |
(* -1/6 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (+ 1 (/ 1 x)) x))) x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(exp (* -1 x)) |
(exp.f64 (neg.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x)))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(fmod (exp x) (sqrt (cos x))) |
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
(sqrt (cos x)) |
(sqrt.f64 (cos.f64 x)) |
| 4 992× | lower-/.f32 |
| 4 986× | lower-/.f64 |
| 4 588× | lower-*.f32 |
| 4 568× | lower-*.f64 |
| 3 510× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 515 |
| 0 | 110 | 488 |
| 1 | 378 | 406 |
| 2 | 2465 | 406 |
| 0 | 8758 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (sqrt (cos x)) #s(literal 1 binary64)) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x))) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (exp.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) (sqrt.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x)) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
Compiled 58 144 to 4 310 computations (92.6% saved)
18 alts after pruning (15 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 120 | 8 | 1 128 |
| Fresh | 9 | 7 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 1 | 3 |
| Total | 1 134 | 18 | 1 152 |
| Status | Accuracy | Program |
|---|---|---|
| 6.4% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| 6.8% | (*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(approx (* (pow (cos x) 1/8) (pow (cos x) 1/4)) (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) | |
| 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| 6.5% | (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| 27.6% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| ✓ | 27.4% | (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| 44.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| 4.8% | (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) | |
| 4.6% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64))) | |
| ✓ | 25.3% | (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| 6.1% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| ✓ | 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
| 6.6% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.6% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.3% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) #s(approx (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x)) (-.f64 x #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.5% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) | |
| 6.4% | #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
Compiled 1 693 to 529 computations (68.8% saved)
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) #s(approx (- (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (neg x)) (-.f64 x #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x))) (*.f64 x x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (+ (* (* x x) -1/4) 1) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(approx (/ (+ (* (pow x 4) 1/16) -1) (+ (* -1/4 (* x x)) -1)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 #s(approx (- (* (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x)) (+ 1 (* (* (+ (* -1/6 x) 1/2) x) x))) (* x x)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x) x)) (neg.f64 x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x)) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 #s(approx (+ (* x (+ (* (+ (* -1/6 x) 1/2) x) -1)) 1) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) #s(approx (* (pow (cos x) 1/8) (pow (cos x) 1/4)) (fma.f64 #s(literal -3/16 binary64) (*.f64 x x) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 x) #s(literal 1 binary64))))) |
(*.f64 (fmod.f64 (exp.f64 x) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
2 calls:
| 18.0ms | x |
| 15.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 3 | x |
| 66.9% | 2 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (*.f64 (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1 binary64)))) #s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
2 calls:
| 6.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.6% | 1 | x |
| 27.6% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 9 computations (18.2% saved)
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.4% | 1 | x |
| 27.4% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 9 computations (18.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.3% | 1 | x |
| 25.3% | 1 | (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) |
Compiled 11 to 9 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0007607278834795733 | 0.9999999999999999 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 14× | *-commutative-binary64-*.f64 |
| 6× | +-commutative-binary64-+.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 118 |
| 1 | 54 | 118 |
| 2 | 57 | 118 |
| 3 | 58 | 118 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) (sqrt.f64 (cos.f64 x)))) (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (fmod.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) |
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
| 18 316× | lower-fma.f64 |
| 18 316× | lower-fma.f32 |
| 16 656× | lower-fma.f64 |
| 16 656× | lower-fma.f32 |
| 13 324× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 2433 |
| 1 | 531 | 2273 |
| 2 | 1615 | 2161 |
| 3 | 3982 | 2100 |
| 0 | 8324 | 1984 |
| 0 | 346 | 3319 |
| 1 | 1049 | 3062 |
| 2 | 3504 | 2861 |
| 0 | 8411 | 2749 |
| 0 | 152 | 2319 |
| 1 | 426 | 2157 |
| 2 | 1381 | 2045 |
| 3 | 4834 | 1992 |
| 0 | 8384 | 1884 |
| 0 | 76 | 401 |
| 1 | 181 | 380 |
| 2 | 413 | 368 |
| 3 | 1050 | 358 |
| 4 | 1888 | 358 |
| 5 | 3537 | 358 |
| 6 | 4860 | 358 |
| 7 | 6181 | 358 |
| 8 | 7674 | 358 |
| 0 | 8041 | 336 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 225 to 156 computations (30.7% saved)
Compiled 164 to 78 computations (52.4% saved)
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