
Time bar (total: 29.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 6 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 7 |
| 0% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 8 |
| 0.4% | 0% | 0.2% | 99.8% | 0% | 0% | 0% | 9 |
Compiled 69 to 50 computations (27.5% saved)
| 14.3s | 5 775× | 1 | valid |
| 1.1s | 2 481× | 0 | valid |
ival-tan: 9.0s (60.8% of total)const: 4.3s (28.9% of total)adjust: 641.0ms (4.3% of total)ival-<=: 418.0ms (2.8% of total)ival-add: 206.0ms (1.4% of total)ival-sub: 88.0ms (0.6% of total)ival-and: 78.0ms (0.5% of total)ival-==: 49.0ms (0.3% of total)ival-or: 27.0ms (0.2% of total)exact: 9.0ms (0.1% of total)ival-assert: 3.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 71 | 123 | (170.2561091734357 -1.666766341911585e-220 5.958526670508461e+46 1.1736222610427816e+137) | 0 | - | (tan.f64 (+.f64 y z)) |
| 1 | 0 | - | 0 | - | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (+.f64 y z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (tan.f64 a) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 194 | 0 |
-.f64 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) | cancellation | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 0 |
| - | 123 | 62 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 0 |
| - | 123 | 0 | 62 |
| number | freq |
|---|---|
| 0 | 62 |
| 1 | 193 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 905.0ms | 378× | 1 | valid |
| 11.0ms | 134× | 0 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-tan: 800.0ms (94.7% of total)adjust: 31.0ms (3.7% of total)ival-add: 9.0ms (1.1% of total)ival-sub: 4.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 790× | sub-neg |
| 500× | distribute-rgt-in |
| 426× | associate--r+ |
| 384× | cancel-sign-sub-inv |
| 366× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 136 |
| 1 | 135 | 129 |
| 2 | 311 | 127 |
| 3 | 919 | 127 |
| 4 | 1946 | 127 |
| 5 | 2580 | 127 |
| 6 | 3025 | 127 |
| 7 | 3265 | 127 |
| 8 | 3304 | 127 |
| 9 | 3304 | 127 |
| 10 | 3310 | 127 |
| 0 | 9 | 9 |
| 0 | 14 | 9 |
| 1 | 20 | 9 |
| 2 | 31 | 9 |
| 3 | 51 | 9 |
| 4 | 84 | 9 |
| 5 | 157 | 9 |
| 6 | 257 | 9 |
| 7 | 364 | 9 |
| 8 | 403 | 9 |
| 9 | 423 | 9 |
| 0 | 423 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| Outputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(sort y z)
Compiled 9 to 9 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 0 | (tan.f64 (+.f64 y z)) | |
| cost-diff | 0 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 304× | lower-fma.f64 |
| 304× | lower-fma.f32 |
| 112× | lower-*.f64 |
| 112× | lower-*.f32 |
| 108× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 29 |
| 0 | 14 | 29 |
| 1 | 20 | 29 |
| 2 | 31 | 29 |
| 3 | 51 | 29 |
| 4 | 84 | 29 |
| 5 | 157 | 29 |
| 6 | 257 | 29 |
| 7 | 364 | 29 |
| 8 | 403 | 29 |
| 9 | 423 | 29 |
| 0 | 423 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(tan.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
(tan.f64 a) |
a |
| Outputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) |
(tan.f64 (+.f64 y z)) |
(tan.f64 (+.f64 z y)) |
(+.f64 y z) |
(+.f64 z y) |
y |
z |
(tan.f64 a) |
a |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (tan.f64 a) | |
| accuracy | 0.0703125 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) | |
| accuracy | 0.2062581899887851 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) | |
| accuracy | 15.531634860005813 | (tan.f64 (+.f64 y z)) |
| 66.0ms | 189× | 1 | valid |
| 6.0ms | 67× | 0 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-tan: 44.0ms (79.6% of total)adjust: 5.0ms (9% of total)ival-add: 5.0ms (9% of total)ival-sub: 2.0ms (3.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ()) |
#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt a (taylor 0 a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* 1/3 (pow a 2)))) (taylor 0 a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) (taylor 0 a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))) (taylor 0 a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor -inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor -inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor -inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin a) (cos a)) (taylor -inf a) (#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin y) (cos y))) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (sin y) (cos y)) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) (taylor 0 z) (#s(alt (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (patch (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (cos y)) (taylor 0 z) (#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (taylor 0 z) (#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (taylor 0 z) (#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ())) ()) |
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#s(alt (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) (taylor 0 x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor 0 x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor 0 x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor 0 x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) (taylor inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) (taylor inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) (taylor inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (tan a)) |
| 3.0ms | a | @ | -inf | ((+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (tan a)) |
| 2.0ms | z | @ | 0 | ((+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (tan a)) |
| 2.0ms | a | @ | inf | ((+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (tan a)) |
| 2.0ms | z | @ | inf | ((+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (tan a)) |
| 1× | egg-herbie |
| 12 172× | lower-fma.f64 |
| 12 172× | lower-fma.f32 |
| 4 690× | lower-*.f64 |
| 4 690× | lower-*.f32 |
| 3 086× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 2546 |
| 1 | 538 | 2478 |
| 2 | 1529 | 2458 |
| 3 | 6553 | 2428 |
| 0 | 8092 | 2350 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
a |
(* a (+ 1 (* 1/3 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(/ (sin a) (cos a)) |
(/ (sin a) (cos a)) |
(/ (sin a) (cos a)) |
(/ (sin a) (cos a)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(/ (sin a) (cos a)) |
(/ (sin a) (cos a)) |
(/ (sin a) (cos a)) |
(/ (sin a) (cos a)) |
(- (+ x (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (/ (sin y) (cos y)) (/ (sin a) (cos a))) |
(- (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(/ (sin y) (cos y)) |
(+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) |
(+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) |
(+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
(- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) |
(- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) |
(- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) |
(- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) |
(/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) |
(/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) |
(/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) |
(/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(- (+ x (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (/ (sin z) (cos z)) (/ (sin a) (cos a))) |
(- (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(/ (sin z) (cos z)) |
(+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
| Outputs |
|---|
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 a x)) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 x a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (-.f64 x a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/3 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a)) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a)) |
a |
(* a (+ 1 (* 1/3 (pow a 2)))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) a) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))) |
(fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) a) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
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(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z) (fma.f64 (/.f64 y (cos.f64 z)) (+.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z)) #s(literal 1 binary64))) y (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(- (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z)) (cos.f64 z))) y #s(literal 1 binary64))) y (-.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(/ (sin z) (cos z)) |
(/.f64 (sin.f64 z) (cos.f64 z)) |
(+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z) #s(literal 1 binary64)) y (/.f64 (sin.f64 z) (cos.f64 z))) |
(+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z) (fma.f64 (/.f64 y (cos.f64 z)) (+.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z)) #s(literal 1 binary64))) y (/.f64 (sin.f64 z) (cos.f64 z))) |
(+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z) (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z) #s(literal -1/6 binary64))) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (sin.f64 z)) (cos.f64 z))) y #s(literal 1 binary64))) y (/.f64 (sin.f64 z) (cos.f64 z))) |
z |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
y |
(* y (+ 1 (/ z y))) |
(fma.f64 (/.f64 z y) y y) |
(* y (+ 1 (/ z y))) |
(fma.f64 (/.f64 z y) y y) |
(* y (+ 1 (/ z y))) |
(fma.f64 (/.f64 z y) y y) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(fma.f64 (/.f64 z y) y y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(fma.f64 (/.f64 z y) y y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(fma.f64 (/.f64 z y) y y) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x) |
| 5 560× | lower-fma.f64 |
| 5 560× | lower-fma.f32 |
| 4 746× | lower-*.f64 |
| 4 746× | lower-*.f32 |
| 4 062× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 0 | 14 | 25 |
| 1 | 70 | 25 |
| 2 | 599 | 25 |
| 3 | 7878 | 25 |
| 0 | 8007 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(tan.f64 (+.f64 y z)) |
(+.f64 y z) |
(tan.f64 a) |
| Outputs |
|---|
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Compiled 14 040 to 1 556 computations (88.9% saved)
36 alts after pruning (35 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 35 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 477 | 36 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (fma.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 z y) a))) (*.f64 (cos.f64 a) (cos.f64 (+.f64 z y))) x) | |
| 99.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 78.4% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 78.9% | (fma.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) (/.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y)))) x) | |
| 78.8% | (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (+.f64 (tan.f64 (+.f64 z y)) x)) | |
| 99.7% | (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (-.f64 x (tan.f64 a))) | |
| ▶ | 78.9% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
| 77.7% | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (-.f64 x (tan.f64 (+.f64 z y))) #s(literal 1 binary64))) (*.f64 (-.f64 x (tan.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (tan.f64 a)))) | |
| 78.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) | |
| 78.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| ▶ | 78.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 99.8% | (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (tan.f64 a)))) | |
| 99.8% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) | |
| ▶ | 99.8% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
| 99.7% | (+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| 99.8% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| ▶ | 31.6% | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
| ▶ | 69.2% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
| 43.9% | (+.f64 x (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (tan.f64 a))) | |
| 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| ✓ | 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 36.0% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (tan a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a)))) | |
| 36.0% | (+.f64 x (-.f64 (tan.f64 (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 26.2% | (+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) | |
| 71.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 29.4% | (+.f64 x (-.f64 (tan.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))))) (tan.f64 a))) | |
| 64.2% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) | |
| 66.0% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) | |
| 60.3% | (+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) | |
| 59.1% | (+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) | |
| 47.2% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| 36.4% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) | |
| 78.9% | #s(approx (+ x (- (tan (+ y z)) (tan a))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x)) | |
| 9.9% | #s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 60.3% | #s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
Compiled 1 385 to 1 003 computations (27.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) | |
| cost-diff | 0 | (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| cost-diff | 128 | (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) | |
| cost-diff | 0 | (sin.f64 (+.f64 z y)) | |
| cost-diff | 0 | (neg.f64 (sin.f64 (+.f64 z y))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) | |
| cost-diff | 320 | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| cost-diff | 0 | (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) | |
| cost-diff | 0 | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) | |
| cost-diff | 0 | (-.f64 (tan.f64 a) x) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (tan.f64 (+.f64 z y)) | |
| cost-diff | 0 | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) | |
| cost-diff | 0 | (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) | |
| cost-diff | 128 | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) | |
| cost-diff | 256 | (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a))) | |
| cost-diff | 19712 | (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
| 9 296× | lower-fma.f32 |
| 9 286× | lower-fma.f64 |
| 3 226× | lower-*.f32 |
| 3 218× | lower-*.f64 |
| 1 798× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 460 |
| 0 | 99 | 444 |
| 1 | 191 | 442 |
| 2 | 432 | 440 |
| 3 | 1126 | 431 |
| 4 | 2855 | 411 |
| 5 | 5800 | 411 |
| 0 | 8147 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
x |
(/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
(fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(cos.f64 a) |
a |
(*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a))) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (tan.f64 z)) |
#s(literal 1 binary64) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
(*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(-.f64 (tan.f64 a) x) |
(tan.f64 a) |
a |
x |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) |
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(sin.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) |
#s(literal 1 binary64) |
(neg.f64 (cos.f64 (+.f64 z y))) |
(cos.f64 (+.f64 z y)) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) |
(tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 y y) |
y |
(-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 z #s(literal 3 binary64)) |
z |
(fma.f64 z (+.f64 z y) (*.f64 y y)) |
(+.f64 z y) |
(neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) |
(*.f64 z (/.f64 z (-.f64 y z))) |
(/.f64 z (-.f64 y z)) |
(-.f64 y z) |
(tan.f64 a) |
a |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) |
x |
(/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
(-.f64 (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a)) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) |
(fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) (sin.f64 a))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(cos.f64 a) |
a |
(*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a))) |
(*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) (sin.f64 a)) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
(neg.f64 (tan.f64 z)) |
#s(literal 1 binary64) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
(*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)) |
(*.f64 (neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (cos.f64 a)) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) |
(tan.f64 (+.f64 z y)) |
(tan.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(-.f64 (tan.f64 a) x) |
(tan.f64 a) |
a |
x |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(tan.f64 (+.f64 y z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
(+.f64 y z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) x) (tan.f64 a)) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(neg.f64 (sin.f64 (+.f64 y z))) |
(sin.f64 (+.f64 z y)) |
(sin.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) |
#s(literal 1 binary64) |
(neg.f64 (cos.f64 (+.f64 z y))) |
(neg.f64 (cos.f64 (+.f64 y z))) |
(cos.f64 (+.f64 z y)) |
(cos.f64 (+.f64 y z)) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(-.f64 (tan.f64 (fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 z z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) |
(-.f64 (tan.f64 (fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 z z) (-.f64 z y)))) (tan.f64 a)) |
(tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) |
(tan.f64 (fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 z z) (-.f64 z y)))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 z z) (-.f64 z y))) |
(/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 y y) |
y |
(-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(pow.f64 y #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 z #s(literal 3 binary64)) |
z |
(fma.f64 z (+.f64 z y) (*.f64 y y)) |
(fma.f64 (+.f64 y z) z (*.f64 y y)) |
(+.f64 z y) |
(+.f64 y z) |
(neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) |
(/.f64 (*.f64 z z) (-.f64 z y)) |
(*.f64 z (/.f64 z (-.f64 y z))) |
(*.f64 (/.f64 z (-.f64 y z)) z) |
(/.f64 z (-.f64 y z)) |
(-.f64 y z) |
(tan.f64 a) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.2499649091134994 | (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) | |
| accuracy | 15.531634860005813 | (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) | |
| accuracy | 27.27257769411166 | (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) | |
| accuracy | 29.66968645273772 | (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) | |
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) | |
| accuracy | 0.178066259768442 | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| accuracy | 15.215111879513923 | (sin.f64 (+.f64 z y)) | |
| accuracy | 15.42934567669948 | (cos.f64 (+.f64 z y)) | |
| accuracy | 0.0703125 | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| accuracy | 0.2062581899887851 | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) | |
| accuracy | 15.531634860005813 | (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) | |
| accuracy | 0 | (tan.f64 a) | |
| accuracy | 0.06869125976844201 | (-.f64 (tan.f64 a) x) | |
| accuracy | 0.15625 | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) | |
| accuracy | 15.531634860005813 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.08314610241743066 | (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0.15529252930532605 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.18124509254663357 | (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) | |
| accuracy | 0.232753759768442 | (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
| 431.0ms | 193× | 1 | valid |
| 62.0ms | 63× | 0 | valid |
Compiled 483 to 57 computations (88.2% saved)
ival-tan: 153.0ms (34.6% of total)ival-add: 87.0ms (19.7% of total)ival-cos: 43.0ms (9.7% of total)ival-mult: 38.0ms (8.6% of total)adjust: 26.0ms (5.9% of total)ival-sub: 23.0ms (5.2% of total)ival-pow: 22.0ms (5% of total)ival-div: 21.0ms (4.7% of total)ival-sin: 19.0ms (4.3% of total)ival-neg: 8.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a))) (patch (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 a) x) (patch (-.f64 (tan.f64 a) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (patch (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 (+.f64 z y))) (patch (neg.f64 (sin.f64 (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (+.f64 z y)) (patch (sin.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) (patch (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) (patch (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (patch (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 z) (tan.f64 y)) (patch (+.f64 (tan.f64 z) (tan.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 z y)) (patch (cos.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) (patch (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (patch (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (patch (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 154.0ms | a | @ | -inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (sin (+ z y)) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (cos (+ z y)) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (/ (* y y) (- (pow y 3) (pow z 3))) (- (pow y 3) (pow z 3))) |
| 26.0ms | z | @ | -inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (sin (+ z y)) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (cos (+ z y)) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (/ (* y y) (- (pow y 3) (pow z 3))) (- (pow y 3) (pow z 3))) |
| 14.0ms | y | @ | -inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (sin (+ z y)) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (cos (+ z y)) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (/ (* y y) (- (pow y 3) (pow z 3))) (- (pow y 3) (pow z 3))) |
| 14.0ms | a | @ | inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (sin (+ z y)) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (cos (+ z y)) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (/ (* y y) (- (pow y 3) (pow z 3))) (- (pow y 3) (pow z 3))) |
| 11.0ms | y | @ | inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (sin (+ z y)) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (cos (+ z y)) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (/ (* y y) (- (pow y 3) (pow z 3))) (- (pow y 3) (pow z 3))) |
| 1× | egg-herbie |
| 7 812× | lower-fma.f64 |
| 7 812× | lower-fma.f32 |
| 6 210× | lower-+.f64 |
| 6 210× | lower-+.f32 |
| 4 912× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1090 | 21543 |
| 1 | 3395 | 20794 |
| 0 | 8172 | 20240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(* -1 (* a (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* 1/6 (* (pow a 2) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/6 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (pow a 2) (+ (* 1/6 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (pow a 2) (+ (* -1/120 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* 1/5040 (* (pow a 2) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))))) |
(+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ x (+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (* -1 (* a (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(+ (* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* -1/2 (* a (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(+ (* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* a (+ (* -1/2 (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* 1/6 (* a (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(* -1 x) |
(- a x) |
(- (* a (+ 1 (* 1/3 (pow a 2)))) x) |
(- (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) x) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) |
(+ x (+ (* -1 a) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) |
(/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) |
(+ (* -1 a) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) |
a |
(* a (+ 1 (* 1/3 (pow a 2)))) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) |
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(- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) |
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y |
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(+ y z) |
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y |
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(- (* z (- (* z (- (* 1/6 (* z (cos y))) (* -1/2 (sin y)))) (cos y))) (sin y)) |
(sin y) |
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(/ (sin y) (cos y)) |
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(+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) |
(/ (sin y) (cos y)) |
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1 |
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(cos y) |
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(+ (cos y) (* z (- (* -1/2 (* z (cos y))) (sin y)))) |
(+ (cos y) (* z (- (* z (+ (* -1/2 (cos y)) (* 1/6 (* z (sin y))))) (sin y)))) |
y |
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(* -1 (* (pow z 3) (+ 1 (* -1 (/ (pow y 3) (pow z 3)))))) |
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (pow y 3) (pow z 3)))))) |
(* -1 (* (pow z 3) (+ 1 (* -1 (/ (pow y 3) (pow z 3)))))) |
(/ (+ (* -1 (sin a)) (/ (* (cos a) (sin z)) (cos z))) (cos a)) |
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(* -1 (sin a)) |
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(/ (sin z) (cos z)) |
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(+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(- (+ x (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
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(- (/ (sin z) (cos z)) (/ (sin a) (cos a))) |
(- (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(/ (sin z) (cos z)) |
(+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(- (+ x (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(/ -1 (cos z)) |
(- (* -1 (/ (* y (sin z)) (pow (cos z) 2))) (/ 1 (cos z))) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 (cos z))) (/ (pow (sin z) 2) (pow (cos z) 3))))) (/ (sin z) (pow (cos z) 2)))) (/ 1 (cos z))) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (sin z) (pow (cos z) 2))) (+ (* 1/2 (/ (sin z) (pow (cos z) 2))) (/ (* (sin z) (+ (* 1/2 (/ 1 (cos z))) (/ (pow (sin z) 2) (pow (cos z) 3)))) (cos z)))))) (+ (* 1/2 (/ 1 (cos z))) (/ (pow (sin z) 2) (pow (cos z) 3))))) (/ (sin z) (pow (cos z) 2)))) (/ 1 (cos z))) |
(* -1 (sin z)) |
(- (* -1 (* y (cos z))) (sin z)) |
(- (* y (- (* 1/2 (* y (sin z))) (cos z))) (sin z)) |
(- (* y (- (* y (- (* 1/6 (* y (cos z))) (* -1/2 (sin z)))) (cos z))) (sin z)) |
(sin z) |
(+ (sin z) (* y (cos z))) |
(+ (sin z) (* y (+ (cos z) (* -1/2 (* y (sin z)))))) |
(+ (sin z) (* y (+ (cos z) (* y (+ (* -1/2 (sin z)) (* -1/6 (* y (cos z)))))))) |
z |
(- y (* -1 z)) |
(- (* y (+ 1 (/ y z))) (* -1 z)) |
(- (* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) (* -1 z)) |
(- (+ x (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))) (cos (neg (* -1 z))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))))) (/ (sin a) (cos a))) |
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(- (/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))) (/ (sin a) (cos a))) |
(- (+ (* y (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (/ (* y (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))) (cos (neg (* -1 z))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin (neg (* -1 z))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (pow (cos (neg (* -1 z))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (cos (neg (* -1 z)))))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))) |
(+ (* y (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) |
(+ (* y (- (+ 1 (/ (* y (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))) (cos (neg (* -1 z))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) |
(+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin (neg (* -1 z))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (pow (cos (neg (* -1 z))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (cos (neg (* -1 z)))))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) |
(/ (sin z) (cos z)) |
(+ y (/ (sin z) (cos z))) |
(+ (* y (+ 1 (* 1/3 (pow y 2)))) (/ (sin z) (cos z))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/3 (* 2/15 (pow y 2)))))) (/ (sin z) (cos z))) |
1 |
(+ 1 (* -1 (/ (* y (sin z)) (cos z)))) |
(+ 1 (* y (+ (* -1 (/ (sin z) (cos z))) (* -1/3 (/ (* (pow y 2) (sin z)) (cos z)))))) |
(+ 1 (* y (+ (* -1 (/ (sin z) (cos z))) (* (pow y 2) (+ (* -1/3 (/ (sin z) (cos z))) (* -2/15 (/ (* (pow y 2) (sin z)) (cos z)))))))) |
(cos z) |
(+ (cos z) (* -1 (* y (sin z)))) |
(+ (cos z) (* y (- (* -1/2 (* y (cos z))) (sin z)))) |
(+ (cos z) (* y (- (* y (+ (* -1/2 (cos z)) (* 1/6 (* y (sin z))))) (sin z)))) |
z |
(- y (* -1 z)) |
(- y (* -1 z)) |
(- y (* -1 z)) |
(* -1 (/ (pow y 2) (pow z 3))) |
(* (pow y 2) (- (* -1 (/ (pow y 3) (pow z 6))) (/ 1 (pow z 3)))) |
(* (pow y 2) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow z 9))) (/ 1 (pow z 6)))) (/ 1 (pow z 3)))) |
(* (pow y 2) (- (* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow z 12))) (/ 1 (pow z 9)))) (/ 1 (pow z 6)))) (/ 1 (pow z 3)))) |
(* -1 (pow z 3)) |
(- (pow y 3) (pow z 3)) |
(- (pow y 3) (pow z 3)) |
(- (pow y 3) (pow z 3)) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(* -1 (/ (pow z 2) y)) |
(/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y) |
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(/ (- (+ (* -1 (/ (pow z 3) y)) (+ (* -1 (/ (pow z 4) (pow y 2))) (* -1 (/ (pow z 5) (pow y 3))))) (pow z 2)) y) |
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x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
x |
(* x (- (+ 1 (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (* x (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (* x (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (* x (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) (/ (sin a) (* x (cos a))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
| Outputs |
|---|
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) |
(+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(* -1 (* a (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) |
(* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* 1/6 (* (pow a 2) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a a) #s(literal -1 binary64))) a) |
(* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/6 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 a a) #s(literal 1/6 binary64))) (*.f64 a a) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (pow a 2) (+ (* 1/6 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (pow a 2) (+ (* -1/120 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* 1/5040 (* (pow a 2) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/5040 binary64) (*.f64 a a) #s(literal -1/120 binary64))) (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (*.f64 a a) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+.f64 (+.f64 x (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+ x (+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+.f64 (+.f64 (-.f64 x a) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) x)) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) |
(+ (* -1 (* a (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(fma.f64 (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) a (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) |
(+ (* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* -1/2 (* a (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) |
(+ (* a (+ (* -1 (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* a (+ (* -1/2 (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* 1/6 (* a (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))))) a (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(* -1 x) |
(neg.f64 x) |
(- a x) |
(-.f64 a x) |
(- (* a (+ 1 (* 1/3 (pow a 2)))) x) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a) x) |
(- (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) x) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a) x) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(+ x (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) |
(+.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z))))) x) |
(+ x (+ (* -1 a) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) |
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a |
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(- (/ (sin a) (cos a)) x) |
(-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) |
(- (/ (sin a) (cos a)) x) |
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(- (/ (sin a) (cos a)) x) |
(-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) |
(- (/ (sin a) (cos a)) x) |
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(*.f64 (+.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (*.f64 (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (sin a) (cos a))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z))))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z))))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z))))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
| 4 316× | lower-*.f32 |
| 4 308× | lower-*.f64 |
| 4 168× | lower-fma.f32 |
| 4 158× | lower-fma.f64 |
| 3 312× | lower-pow.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 351 |
| 0 | 99 | 419 |
| 1 | 459 | 236 |
| 2 | 4159 | 236 |
| 0 | 8676 | 236 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
(*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
(-.f64 (tan.f64 a) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) |
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(sin.f64 (+.f64 z y)) |
(neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) |
(tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(tan.f64 a) |
(cos.f64 (+.f64 z y)) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) |
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Compiled 70 512 to 5 292 computations (92.5% saved)
64 alts after pruning (61 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 169 | 48 | 2 217 |
| Fresh | 17 | 13 | 30 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 189 | 64 | 2 253 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (fma.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 z y) a))) (*.f64 (cos.f64 a) (cos.f64 (+.f64 z y))) x) | |
| 78.4% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 78.8% | (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (+.f64 (tan.f64 (+.f64 z y)) x)) | |
| 99.7% | (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (-.f64 x (tan.f64 a))) | |
| 69.5% | (fma.f64 (neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 59.8% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 y z))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 x (tan.f64 a))) | |
| 36.0% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) | |
| 39.0% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))))) (-.f64 x (tan.f64 a))) | |
| 61.5% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) | |
| 61.0% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) | |
| 59.9% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) | |
| ▶ | 66.0% | (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
| 50.5% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (fma.f64 (cos.f64 z) y (sin.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 49.0% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 60.3% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 58.9% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 77.7% | (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (-.f64 x (tan.f64 (+.f64 z y))) #s(literal 1 binary64))) (*.f64 (-.f64 x (tan.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (tan.f64 a)))) | |
| 99.3% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) | |
| 78.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) | |
| 99.7% | (-.f64 (/.f64 (+.f64 (tan.f64 (*.f64 z #s(literal 1 binary64))) (tan.f64 (*.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 z #s(literal 1 binary64))) (tan.f64 (*.f64 y #s(literal 1 binary64)))))) (-.f64 (tan.f64 a) x)) | |
| 99.7% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (-.f64 (tan.f64 a) x)) | |
| 78.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 36.0% | (-.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (pow.f64 (+.f64 y z) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (-.f64 (tan.f64 a) x)) | |
| 43.9% | (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) | |
| 78.7% | (-.f64 (tan.f64 (+.f64 z y)) (/.f64 (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (tan.f64 a) x))) | |
| 78.5% | (-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) | |
| 78.9% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) | |
| ✓ | 78.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 78.8% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (fma.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) x (neg.f64 x)))) | |
| 9.9% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 36.4% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) | |
| 78.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))))) | |
| ▶ | 47.2% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
| 22.1% | (-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) | |
| 64.1% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) (-.f64 (tan.f64 a) x)) | |
| 65.9% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) | |
| 60.3% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) | |
| 59.1% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) | |
| 99.8% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) | |
| ▶ | 99.8% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
| 90.1% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) #s(approx (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 99.7% | (+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| 99.8% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 32.8% | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| 20.1% | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) #s(approx (- (pow y 3) (pow z 3)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| ▶ | 27.7% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
| 35.1% | (+.f64 x (-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (tan.f64 a))) | |
| 31.5% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (tan.f64 a))) | |
| ✓ | 69.2% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
| 32.0% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) | |
| 22.1% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 y z)))))) (tan.f64 a))) | |
| 58.8% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))))) (tan.f64 a))) | |
| 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| ✓ | 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 36.0% | (+.f64 x (-.f64 (tan.f64 (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 71.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 52.3% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) | |
| 47.2% | (+.f64 x #s(approx (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| ▶ | 78.7% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
| 58.3% | #s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+.f64 (+.f64 x (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) | |
| 99.4% | #s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
Compiled 2 569 to 1 904 computations (25.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) | |
| cost-diff | 1152 | (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) | |
| cost-diff | 320 | (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| cost-diff | 896 | (fma.f64 (/.f64 y z) z z) | |
| cost-diff | 0 | (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) | |
| cost-diff | 0 | (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| cost-diff | 128 | (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) | |
| cost-diff | 0 | #s(approx (- (tan a) x) (neg.f64 x)) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (tan.f64 (+.f64 z y)) | |
| cost-diff | 0 | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) | |
| cost-diff | 0 | (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) | |
| cost-diff | 128 | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) | |
| cost-diff | 256 | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) | |
| cost-diff | 19712 | (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
| 6 426× | lower-fma.f32 |
| 6 412× | lower-fma.f64 |
| 2 422× | lower-*.f32 |
| 2 410× | lower-*.f64 |
| 2 120× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 617 |
| 0 | 123 | 614 |
| 1 | 240 | 612 |
| 2 | 510 | 601 |
| 3 | 1224 | 584 |
| 4 | 3338 | 556 |
| 5 | 6980 | 556 |
| 0 | 8075 | 553 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
x |
(/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
(fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(cos.f64 a) |
a |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
(*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (tan.f64 z)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (- (tan a) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) |
(tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) |
(fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
#s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 z (+.f64 z y) (*.f64 y y)) |
z |
(+.f64 z y) |
(*.f64 y y) |
(neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) |
(*.f64 z (/.f64 z (-.f64 y z))) |
(/.f64 z (-.f64 y z)) |
(-.f64 y z) |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) |
(sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) |
#s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) |
(fma.f64 (/.f64 y z) z z) |
(/.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) |
#s(literal 1 binary64) |
(neg.f64 (cos.f64 (+.f64 z y))) |
(cos.f64 (+.f64 z y)) |
(+.f64 z y) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(sin.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(cos.f64 (+.f64 z y)) |
(/.f64 (sin.f64 a) (cos.f64 a)) |
(sin.f64 a) |
a |
(cos.f64 a) |
#s(literal -1 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) |
x |
(/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) |
(fma.f64 (cos.f64 a) (+.f64 (tan.f64 y) (tan.f64 z)) (*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) (sin.f64 a))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(cos.f64 a) |
a |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) |
(*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) (sin.f64 a)) |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) |
(neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
(neg.f64 (sin.f64 a)) |
(sin.f64 a) |
(*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)) |
(*.f64 (neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (cos.f64 a)) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
(neg.f64 (tan.f64 z)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 y z)) #s(approx (- (tan a) x) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(tan.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
#s(approx (- (tan a) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(-.f64 (tan.f64 (fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 z z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) |
(-.f64 (tan.f64 (fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 z z) (-.f64 z y)))) (tan.f64 a)) |
(tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) |
(tan.f64 (fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 z z) (-.f64 z y)))) |
(fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(fma.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 z z) (-.f64 z y))) |
#s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(fma.f64 z (+.f64 z y) (*.f64 y y)) |
(fma.f64 (+.f64 y z) z (*.f64 y y)) |
z |
(+.f64 z y) |
(+.f64 y z) |
(*.f64 y y) |
(neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) |
(/.f64 (*.f64 z z) (-.f64 z y)) |
(*.f64 z (/.f64 z (-.f64 y z))) |
(*.f64 (/.f64 z (-.f64 y z)) z) |
(/.f64 z (-.f64 y z)) |
(-.f64 y z) |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 (sin.f64 #s(approx (+ z y) (+.f64 y z))) (cos.f64 (+.f64 y z))) (-.f64 (tan.f64 a) x)) |
(neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) |
(neg.f64 (sin.f64 #s(approx (+ z y) (+.f64 y z)))) |
(sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) |
(sin.f64 #s(approx (+ z y) (+.f64 y z))) |
#s(approx (+ z y) (fma.f64 (/.f64 y z) z z)) |
#s(approx (+ z y) (+.f64 y z)) |
(fma.f64 (/.f64 y z) z z) |
(+.f64 y z) |
(/.f64 y z) |
y |
z |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) |
#s(literal 1 binary64) |
(neg.f64 (cos.f64 (+.f64 z y))) |
(neg.f64 (cos.f64 (+.f64 y z))) |
(cos.f64 (+.f64 z y)) |
(cos.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(neg.f64 x) |
x |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a))) x)) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) |
(sin.f64 (+.f64 z y)) |
(sin.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(cos.f64 (+.f64 z y)) |
(cos.f64 (+.f64 y z)) |
(/.f64 (sin.f64 a) (cos.f64 a)) |
(sin.f64 a) |
a |
(cos.f64 a) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.234375 | (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) | |
| accuracy | 0.2578125 | (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) | |
| accuracy | 15.215111879513923 | (sin.f64 (+.f64 z y)) | |
| accuracy | 15.42934567669948 | (cos.f64 (+.f64 z y)) | |
| accuracy | 0.178066259768442 | (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| accuracy | 7.301787659153692 | (fma.f64 (/.f64 y z) z z) | |
| accuracy | 15.215111879513923 | (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) | |
| accuracy | 15.42934567669948 | (cos.f64 (+.f64 z y)) | |
| accuracy | 0.2062581899887851 | (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) | |
| accuracy | 15.531634860005813 | (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) | |
| accuracy | 29.66968645273772 | (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) | |
| accuracy | 33.67542513391071 | #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.15625 | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) | |
| accuracy | 15.531634860005813 | (tan.f64 (+.f64 z y)) | |
| accuracy | 26.794894367560783 | #s(approx (- (tan a) x) (neg.f64 x)) | |
| accuracy | 0.15529252930532605 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.18124509254663357 | (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) | |
| accuracy | 0.232753759768442 | (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) | |
| accuracy | 0.234375 | (*.f64 (tan.f64 y) (tan.f64 z)) |
| 447.0ms | 193× | 1 | valid |
| 49.0ms | 63× | 0 | valid |
Compiled 561 to 67 computations (88.1% saved)
ival-mult: 129.0ms (29.1% of total)ival-tan: 78.0ms (17.6% of total)ival-div: 41.0ms (9.3% of total)ival-sin: 38.0ms (8.6% of total)adjust: 36.0ms (8.1% of total)ival-cos: 36.0ms (8.1% of total)ival-sub: 27.0ms (6.1% of total)ival-pow: 23.0ms (5.2% of total)ival-add: 23.0ms (5.2% of total)ival-neg: 10.0ms (2.3% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) (patch (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) (patch (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (patch (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) z z) (patch (fma.f64 (/.f64 y z) z z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (patch (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 y) (tan.f64 z)) (patch (*.f64 (tan.f64 y) (tan.f64 z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 z) (tan.f64 y)) (patch (+.f64 (tan.f64 z) (tan.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) (patch (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 z y)) (patch (cos.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (patch (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (+.f64 z y)) (patch (sin.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (+ (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (* -1/120 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (* -1/2 (- (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (* -1/24 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* 1/6 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* 1/6 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* 1/6 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* -1/120 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* 1/5040 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))))) (taylor 0 a) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor 0 a) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor 0 a) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (* -1/2 (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (* 1/24 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (* -1 (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor 0 a) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (taylor 0 a) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (taylor 0 a) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* -1/2 (* a (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (taylor 0 a) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* a (+ (* -1/2 (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* 1/6 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (taylor 0 a) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 a) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- a x) (taylor 0 a) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) (taylor -inf a) (#s(alt (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor -inf a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf a) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y))) (cos a)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin a) (cos a))) (+ (* z (- (+ 1 (/ (* (sin a) (sin y)) (* (cos a) (cos y)))) (* -1 (/ (* (sin y) (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y)))) (* (cos a) (cos y)))))) (/ (sin y) (cos y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin a) (cos a))) (+ (* z (- (+ 1 (+ (/ (* z (* (sin y) (- (+ 1 (/ (* (sin a) (sin y)) (* (cos a) (cos y)))) (* -1 (/ (* (sin y) (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y)))) (* (cos a) (cos y))))))) (cos y)) (/ (* (sin a) (sin y)) (* (cos a) (cos y))))) (* -1 (/ (* (sin y) (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y)))) (* (cos a) (cos y)))))) (/ (sin y) (cos y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (sin a) (cos a))) (+ (* z (- (+ 1 (+ (* z (- (* z (- (+ 1/3 (* 1/3 (/ (* (sin a) (sin y)) (* (cos a) (cos y))))) (+ (* -1 (/ (* (pow (sin y) 2) (- (+ 1 (/ (* (sin a) (sin y)) (* (cos a) (cos y)))) (* -1 (/ (* (sin y) (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y)))) (* (cos a) (cos y)))))) (pow (cos y) 2))) (* -1/3 (/ (* (sin y) (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y)))) (* (cos a) (cos y))))))) (* -1 (/ (* (sin y) (- (+ 1 (/ (* (sin a) (sin y)) (* (cos a) (cos y)))) (* -1 (/ (* (sin y) (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y)))) (* (cos a) (cos y)))))) (cos y))))) (/ (* (sin a) (sin y)) (* (cos a) (cos y))))) (* -1 (/ (* (sin y) (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y)))) (* (cos a) (cos y)))))) (/ (sin y) (cos y)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) (patch (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (sin a)) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sin a)) (/ (* z (* (sin a) (sin y))) (cos y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sin a)) (* z (+ (* 1/3 (/ (* (pow z 2) (* (sin a) (sin y))) (cos y))) (/ (* (sin a) (sin y)) (cos y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sin a)) (* z (+ (* (pow z 2) (+ (* 2/15 (/ (* (pow z 2) (* (sin a) (sin y))) (cos y))) (* 1/3 (/ (* (sin a) (sin y)) (cos y))))) (/ (* (sin a) (sin y)) (cos y))))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (sin a) (cos a))) (/ (sin y) (cos y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (sin a) (cos a))) (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (sin a) (cos a))) (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (sin a) (cos a))) (+ (* z (- (+ 1 (* z (- (* z (- 1/3 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (* -1/3 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sin a)) (/ (* (cos a) (sin y)) (cos y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sin a)) (+ (* z (+ (cos a) (/ (* (sin a) (sin y)) (cos y)))) (/ (* (cos a) (sin y)) (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (sin a)) (+ (* z (+ (cos a) (+ (* (pow z 2) (+ (* 1/3 (cos a)) (* 1/3 (/ (* (sin a) (sin y)) (cos y))))) (/ (* (sin a) (sin y)) (cos y))))) (/ (* (cos a) (sin y)) (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) (patch (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (taylor inf z) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (taylor inf z) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (taylor inf z) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (taylor inf z) (#s(alt (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (patch (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf z) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf z) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf z) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) (taylor inf z) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor inf z) (#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor inf z) (#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor inf z) (#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor inf z) (#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
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#s(alt (* z (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))) (taylor inf z) (#s(alt (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) (patch (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (+ (/ y z) (+ (/ (pow y 2) (pow z 2)) (/ (pow y 3) (pow z 3)))))) (taylor inf z) (#s(alt (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) (patch (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) (taylor inf z) (#s(alt (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (sin (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) (taylor inf z) (#s(alt (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (patch (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | z | @ | inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (* (/ y z) z) z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (- (tan (+ z y)) (- (tan a) x)) (neg x) (* (tan y) (tan z)) (+ (tan z) (tan y)) (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (cos (+ z y)) (sin (+ z y)) (sin (+ z y)) (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x)) |
| 24.0ms | y | @ | inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (* (/ y z) z) z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (- (tan (+ z y)) (- (tan a) x)) (neg x) (* (tan y) (tan z)) (+ (tan z) (tan y)) (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (cos (+ z y)) (sin (+ z y)) (sin (+ z y)) (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x)) |
| 21.0ms | a | @ | -inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (* (/ y z) z) z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (- (tan (+ z y)) (- (tan a) x)) (neg x) (* (tan y) (tan z)) (+ (tan z) (tan y)) (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (cos (+ z y)) (sin (+ z y)) (sin (+ z y)) (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x)) |
| 12.0ms | a | @ | 0 | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (* (/ y z) z) z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (- (tan (+ z y)) (- (tan a) x)) (neg x) (* (tan y) (tan z)) (+ (tan z) (tan y)) (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (cos (+ z y)) (sin (+ z y)) (sin (+ z y)) (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x)) |
| 11.0ms | a | @ | inf | ((/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a))) (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+ (* (+ (tan z) (tan y)) (cos a)) (* (- 1 (* (tan y) (tan z))) (neg (sin a)))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (neg (* z (/ z (- y z)))) (+ x (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a))) (- (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (tan a)) (tan (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z)))))) (+ (* (/ y z) z) z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (neg (sin (+ z y))) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (- (tan (+ z y)) (- (tan a) x)) (neg x) (* (tan y) (tan z)) (+ (tan z) (tan y)) (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (cos (+ z y)) (sin (+ z y)) (sin (+ z y)) (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x)) |
| 1× | egg-herbie |
| 7 514× | lower-fma.f64 |
| 7 514× | lower-fma.f32 |
| 6 076× | lower-*.f64 |
| 6 076× | lower-*.f32 |
| 4 928× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1314 | 25231 |
| 1 | 4199 | 23236 |
| 0 | 8848 | 22646 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(+ (* -1 (/ (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (+ (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (* -1/120 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (* -1/2 (- (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (* -1/24 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(* -1 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* 1/6 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) |
(* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* 1/6 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* 1/6 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* -1/120 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* 1/5040 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))))) |
(+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ x (+ (* -1 (/ (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (* -1/2 (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (* 1/24 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (* -1 (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (* -1 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(+ (* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* -1/2 (* a (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(+ (* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* a (+ (* -1/2 (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* 1/6 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(* -1 x) |
(- a x) |
(- (* a (+ 1 (* 1/3 (pow a 2)))) x) |
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y |
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y |
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(+ y z) |
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(/ -1 (cos y)) |
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(* -1 (sin y)) |
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(* -1 (* x (- (* -1 (/ (- (/ (sin y) (cos y)) (/ (sin a) (cos a))) x)) 1))) |
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(/ (* z (sin y)) (cos y)) |
(* z (+ (* 1/3 (/ (* (pow z 2) (sin y)) (cos y))) (/ (sin y) (cos y)))) |
(* z (+ (* (pow z 2) (+ (* 2/15 (/ (* (pow z 2) (sin y)) (cos y))) (* 1/3 (/ (sin y) (cos y))))) (/ (sin y) (cos y)))) |
(* z (+ (* (pow z 2) (+ (* 1/3 (/ (sin y) (cos y))) (* (pow z 2) (+ (* 17/315 (/ (* (pow z 2) (sin y)) (cos y))) (* 2/15 (/ (sin y) (cos y))))))) (/ (sin y) (cos y)))) |
(/ (sin y) (cos y)) |
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(+ (* z (+ 1 (* 1/3 (pow z 2)))) (/ (sin y) (cos y))) |
(+ (* z (+ 1 (* (pow z 2) (+ 1/3 (* 2/15 (pow z 2)))))) (/ (sin y) (cos y))) |
(/ 1 y) |
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(+ (* (pow z 3) (+ (/ 1 (pow y 4)) (/ (pow z 3) (pow y 7)))) (/ 1 y)) |
(+ (* (pow z 3) (+ (* (pow z 3) (+ (/ 1 (pow y 7)) (/ (pow z 3) (pow y 10)))) (/ 1 (pow y 4)))) (/ 1 y)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* z (- (* -1/2 (* z (cos y))) (sin y)))) |
(+ (cos y) (* z (- (* z (+ (* -1/2 (cos y)) (* 1/6 (* z (sin y))))) (sin y)))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (+ (cos y) (* -1/2 (* z (sin y)))))) |
(+ (sin y) (* z (+ (cos y) (* z (+ (* -1/2 (sin y)) (* -1/6 (* z (cos y)))))))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (+ (cos y) (* -1/2 (* z (sin y)))))) |
(+ (sin y) (* z (+ (cos y) (* z (+ (* -1/2 (sin y)) (* -1/6 (* z (cos y)))))))) |
(/ (- (/ (sin y) (cos y)) (/ (sin a) (cos a))) x) |
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(* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
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(+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
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(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (+ (/ y z) (/ (pow y 2) (pow z 2))))) |
(* z (+ 1 (+ (/ y z) (+ (/ (pow y 2) (pow z 2)) (/ (pow y 3) (pow z 3)))))) |
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(/ (sin (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) |
(/ (sin (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* y z) (+ (pow y 2) (pow z 2)))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) |
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(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
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(* -1 (sin (+ y z))) |
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(/ (* (sin y) (sin z)) (* (cos y) (cos z))) |
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(* z (+ 1 (/ y z))) |
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(cos (+ y z)) |
(cos (+ y z)) |
(cos (+ y z)) |
(cos (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
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(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
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(/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) |
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(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
z |
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(/ (sin (- (/ (* (pow y 2) (+ (* z (- y (* -1 z))) (pow y 2))) (+ (* -1 (pow z 3)) (pow y 3))) (/ (pow z 2) (+ y (* -1 z))))) (cos (- (/ (* (pow y 2) (+ (* z (- y (* -1 z))) (pow y 2))) (+ (* -1 (pow z 3)) (pow y 3))) (/ (pow z 2) (+ y (* -1 z)))))) |
(/ (sin (- (/ (* (pow y 2) (+ (* z (- y (* -1 z))) (pow y 2))) (+ (* -1 (pow z 3)) (pow y 3))) (/ (pow z 2) (+ y (* -1 z))))) (cos (- (/ (* (pow y 2) (+ (* z (- y (* -1 z))) (pow y 2))) (+ (* -1 (pow z 3)) (pow y 3))) (/ (pow z 2) (+ y (* -1 z)))))) |
(/ (sin (- (/ (* (pow y 2) (+ (* z (- y (* -1 z))) (pow y 2))) (+ (* -1 (pow z 3)) (pow y 3))) (/ (pow z 2) (+ y (* -1 z))))) (cos (- (/ (* (pow y 2) (+ (* z (- y (* -1 z))) (pow y 2))) (+ (* -1 (pow z 3)) (pow y 3))) (/ (pow z 2) (+ y (* -1 z)))))) |
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(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
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(/ -1 (cos (- y (* -1 z)))) |
(/ -1 (cos (- y (* -1 z)))) |
(/ -1 (cos (- y (* -1 z)))) |
(/ -1 (cos (- y (* -1 z)))) |
(* -1 (sin (- y (* -1 z)))) |
(* -1 (sin (- y (* -1 z)))) |
(* -1 (sin (- y (* -1 z)))) |
(* -1 (sin (- y (* -1 z)))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x)) 1))) |
(- (* -1 (/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x)) 1) |
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(- (* -1 (/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x)) 1) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
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(/ (* (sin y) (sin z)) (* (cos y) (cos z))) |
(/ (* (sin y) (sin z)) (* (cos y) (cos z))) |
(/ (* (sin y) (sin z)) (* (cos y) (cos z))) |
(/ (* (sin y) (sin z)) (* (cos y) (cos z))) |
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(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(* -1 (/ (pow y 2) (pow z 3))) |
(* -1 (/ (+ (/ (pow y 5) (pow z 3)) (pow y 2)) (pow z 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 8) (pow z 3))) (pow y 5)) (pow z 3))) (pow y 2)) (pow z 3))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 11) (pow z 3)) (* -1 (pow y 8))) (pow z 3))) (pow y 5)) (pow z 3))) (pow y 2)) (pow z 3))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) z))) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow y 3)) (pow y 3)) z)) (+ (* -1 (pow y 2)) (pow y 2))) z))) z)) 1))) |
(cos (- y (* -1 z))) |
(cos (- y (* -1 z))) |
(cos (- y (* -1 z))) |
(cos (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(sin (- y (* -1 z))) |
(/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) (/ (sin a) (cos a))) x) |
(/ (+ (* -1 (sin a)) (/ (* (cos a) (sin z)) (cos z))) (cos a)) |
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(* -1 (sin a)) |
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(+ (* -1 (sin a)) (* y (+ (* 1/3 (/ (* (pow y 2) (* (sin a) (sin z))) (cos z))) (/ (* (sin a) (sin z)) (cos z))))) |
(+ (* -1 (sin a)) (* y (+ (* (pow y 2) (+ (* 2/15 (/ (* (pow y 2) (* (sin a) (sin z))) (cos z))) (* 1/3 (/ (* (sin a) (sin z)) (cos z))))) (/ (* (sin a) (sin z)) (cos z))))) |
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(+ (* -1 (sin a)) (+ (* y (+ (cos a) (/ (* (sin a) (sin z)) (cos z)))) (/ (* (cos a) (sin z)) (cos z)))) |
(+ (* -1 (sin a)) (+ (* y (+ (cos a) (+ (* (pow y 2) (+ (* 1/3 (cos a)) (* 1/3 (/ (* (sin a) (sin z)) (cos z))))) (/ (* (sin a) (sin z)) (cos z))))) (/ (* (cos a) (sin z)) (cos z)))) |
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(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(/ (sin z) (cos z)) |
(+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
(+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
z |
(- y (* -1 z)) |
(- (* y (+ 1 (/ y z))) (* -1 z)) |
(- (* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) (* -1 z)) |
(- (+ x (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))) (cos (neg (* -1 z))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))))) (/ (sin a) (cos a))) |
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(- (/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))) (/ (sin a) (cos a))) |
(- (+ (* y (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (/ (* y (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))) (cos (neg (* -1 z))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(- (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin (neg (* -1 z))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (pow (cos (neg (* -1 z))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (cos (neg (* -1 z)))))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) (/ (sin a) (cos a))) |
(/ (sin (neg (* -1 z))) (cos (neg (* -1 z)))) |
(+ (* y (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) |
(+ (* y (- (+ 1 (/ (* y (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))) (cos (neg (* -1 z))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) |
(+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin (neg (* -1 z))) 2) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (pow (cos (neg (* -1 z))) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (* 1/6 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2)))))))) (* -1 (/ (* (sin (neg (* -1 z))) (- 1 (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (cos (neg (* -1 z)))))))) (* -1 (/ (pow (sin (neg (* -1 z))) 2) (pow (cos (neg (* -1 z))) 2))))) (/ (sin (neg (* -1 z))) (cos (neg (* -1 z))))) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(- (+ x (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(/ -1 (cos z)) |
(- (* -1 (/ (* y (sin z)) (pow (cos z) 2))) (/ 1 (cos z))) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 (cos z))) (/ (pow (sin z) 2) (pow (cos z) 3))))) (/ (sin z) (pow (cos z) 2)))) (/ 1 (cos z))) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ (sin z) (pow (cos z) 2))) (+ (* 1/2 (/ (sin z) (pow (cos z) 2))) (/ (* (sin z) (+ (* 1/2 (/ 1 (cos z))) (/ (pow (sin z) 2) (pow (cos z) 3)))) (cos z)))))) (+ (* 1/2 (/ 1 (cos z))) (/ (pow (sin z) 2) (pow (cos z) 3))))) (/ (sin z) (pow (cos z) 2)))) (/ 1 (cos z))) |
(* -1 (sin z)) |
(- (* -1 (* y (cos z))) (sin z)) |
(- (* y (- (* 1/2 (* y (sin z))) (cos z))) (sin z)) |
(- (* y (- (* y (- (* 1/6 (* y (cos z))) (* -1/2 (sin z)))) (cos z))) (sin z)) |
(* -1 (* x (- (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x)) 1))) |
(+ (* -1 (* x (- (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x)) 1))) (* x (* y (- (/ 1 x) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))))) |
(+ (* -1 (* x (- (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x)) 1))) (* y (+ (* x (- (/ 1 x) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))) (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))))) |
(+ (* -1 (* x (- (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x)) 1))) (* y (+ (* x (- (/ 1 x) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))) (* y (+ (* -1 (* x (* y (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* x (pow (cos z) 2)))) (+ (* -1/2 (/ (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) x)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))))))) (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z))))))) |
(- (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x)) 1) |
(- (+ (* -1 (* y (- (/ 1 x) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2))))))) (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x))) 1) |
(- (+ (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x)) (* y (+ (* -1 (- (/ 1 x) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))) (* -1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (* x (cos z))))))) 1) |
(- (+ (* -1 (/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x)) (* y (+ (* -1 (- (/ 1 x) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))) (* y (+ (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* x (cos z)))) (* y (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* x (pow (cos z) 2)))) (+ (* -1/2 (/ (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) x)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ (pow (sin z) 2) (* x (pow (cos z) 2))))))))))))) 1) |
(- (+ x (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (- (+ 1 (* y (- (* -1 (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2)))))))) (* -1 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(/ (* y (sin z)) (cos z)) |
(* y (+ (* 1/3 (/ (* (pow y 2) (sin z)) (cos z))) (/ (sin z) (cos z)))) |
(* y (+ (* (pow y 2) (+ (* 2/15 (/ (* (pow y 2) (sin z)) (cos z))) (* 1/3 (/ (sin z) (cos z))))) (/ (sin z) (cos z)))) |
(* y (+ (* (pow y 2) (+ (* 1/3 (/ (sin z) (cos z))) (* (pow y 2) (+ (* 17/315 (/ (* (pow y 2) (sin z)) (cos z))) (* 2/15 (/ (sin z) (cos z))))))) (/ (sin z) (cos z)))) |
(/ (sin z) (cos z)) |
(+ y (/ (sin z) (cos z))) |
(+ (* y (+ 1 (* 1/3 (pow y 2)))) (/ (sin z) (cos z))) |
(+ (* y (+ 1 (* (pow y 2) (+ 1/3 (* 2/15 (pow y 2)))))) (/ (sin z) (cos z))) |
(* -1 (/ (pow y 2) (pow z 3))) |
(* (pow y 2) (- (* -1 (/ (pow y 3) (pow z 6))) (/ 1 (pow z 3)))) |
(* (pow y 2) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow z 9))) (/ 1 (pow z 6)))) (/ 1 (pow z 3)))) |
(* (pow y 2) (- (* (pow y 3) (- (* (pow y 3) (- (* -1 (/ (pow y 3) (pow z 12))) (/ 1 (pow z 9)))) (/ 1 (pow z 6)))) (/ 1 (pow z 3)))) |
z |
(- y (* -1 z)) |
(- y (* -1 z)) |
(- y (* -1 z)) |
(cos z) |
(+ (cos z) (* -1 (* y (sin z)))) |
(+ (cos z) (* y (- (* -1/2 (* y (cos z))) (sin z)))) |
(+ (cos z) (* y (- (* y (+ (* -1/2 (cos z)) (* 1/6 (* y (sin z))))) (sin z)))) |
(sin z) |
(+ (sin z) (* y (cos z))) |
(+ (sin z) (* y (+ (cos z) (* -1/2 (* y (sin z)))))) |
(+ (sin z) (* y (+ (cos z) (* y (+ (* -1/2 (sin z)) (* -1/6 (* y (cos z)))))))) |
(sin z) |
(+ (sin z) (* y (cos z))) |
(+ (sin z) (* y (+ (cos z) (* -1/2 (* y (sin z)))))) |
(+ (sin z) (* y (+ (cos z) (* y (+ (* -1/2 (sin z)) (* -1/6 (* y (cos z)))))))) |
(/ (- (/ (sin z) (cos z)) (/ (sin a) (cos a))) x) |
(- (+ (* y (- (/ 1 x) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))) (/ (sin z) (* x (cos z)))) (/ (sin a) (* x (cos a)))) |
(- (+ (* y (- (+ (/ 1 x) (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (* x (cos z)))) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))) (/ (sin z) (* x (cos z)))) (/ (sin a) (* x (cos a)))) |
(- (+ (* y (- (+ (* y (+ (* -1 (/ (* y (+ 1/6 (+ (* -1 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* 1/6 (/ (pow (sin z) 2) (pow (cos z) 2))))))) x)) (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* x (cos z))))) (/ 1 x)) (* -1 (/ (pow (sin z) 2) (* x (pow (cos z) 2)))))) (/ (sin z) (* x (cos z)))) (/ (sin a) (* x (cos a)))) |
(/ (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(/ (+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(+ (* -1 (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* (cos a) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/ (sin (+ y z)) (cos (+ y z))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* -1 (/ (pow z 2) y)) |
(/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y) |
(/ (- (+ (* -1 (/ (pow z 3) y)) (* -1 (/ (pow z 4) (pow y 2)))) (pow z 2)) y) |
(/ (- (+ (* -1 (/ (pow z 3) y)) (+ (* -1 (/ (pow z 4) (pow y 2))) (* -1 (/ (pow z 5) (pow y 3))))) (pow z 2)) y) |
(- (+ x (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))))) (/ (sin a) (cos a))) |
(- (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) |
(- (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) |
(- (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) |
(- (/ (sin (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z)))) (cos (- (+ (/ (* (pow y 2) (* z (+ y z))) (- (pow y 3) (pow z 3))) (/ (pow y 4) (- (pow y 3) (pow z 3)))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) |
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(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* x (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (+ (/ (sin y) (* x (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin z) (* x (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))))) |
(* x (+ 1 (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* x (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (+ (/ (sin y) (* x (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin z) (* x (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))))) |
(* x (+ 1 (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* x (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (+ (/ (sin y) (* x (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin z) (* x (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
x |
(* x (- (+ 1 (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (* x (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (* x (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (* x (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))))) (/ (sin a) (* x (cos a))))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
-1 |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
-1 |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
| Outputs |
|---|
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) |
(+ (* -1 (/ (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 a a) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (+ (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (- (* -1/120 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (* -1/2 (- (* 1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (* -1/24 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (* 1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(* -1 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) |
(* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* 1/6 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 a a)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* -1/120 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (* 1/6 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 a a)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (*.f64 a a) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(* a (+ (* -1 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* 1/6 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (pow a 2) (+ (* -1/120 (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* 1/5040 (* (pow a 2) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (*.f64 a a)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (*.f64 #s(literal -1/120 binary64) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (*.f64 a a) (*.f64 #s(literal 1/6 binary64) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (*.f64 a a) (neg.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+.f64 (+.f64 x (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+ x (+ (* -1 (/ (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+.f64 (-.f64 x a) (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(+ x (+ (* a (+ (* -1 (* (pow a 2) (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 a a) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) x) |
(+ x (+ (* a (+ (* -1 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* (pow a 2) (+ (* -1 (* (pow a 2) (- (* 1/120 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (+ (* -1/2 (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (* 1/24 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))) (* -1 (- (* -1/6 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (* -1/2 (/ (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) x) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) |
(+ (* -1 (* a (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) |
(fma.f64 (neg.f64 a) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) |
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(fma.f64 (/.f64 y z) z z) |
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(fma.f64 (/.f64 y z) z z) |
(* z (+ 1 (/ y z))) |
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z |
(* z (+ 1 (/ y z))) |
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(* z (+ 1 (/ y z))) |
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#s(literal -1 binary64) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (* -1 (/ (* (sin a) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (* (cos a) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z))))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z))))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z)))) (cos (- (/ (* (pow y 2) (+ (* z (+ y z)) (pow y 2))) (- (pow y 3) (pow z 3))) (/ (pow z 2) (- y z))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))) (cos.f64 (fma.f64 (*.f64 y y) (/.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z))))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
| 4 890× | lower-*.f32 |
| 4 878× | lower-*.f64 |
| 4 794× | lower-fma.f32 |
| 4 780× | lower-fma.f64 |
| 2 520× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 453 |
| 0 | 123 | 420 |
| 1 | 552 | 372 |
| 2 | 4977 | 372 |
| 0 | 8122 | 372 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
#s(approx (- (tan a) x) (neg.f64 x)) |
(neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a)) |
(tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) |
(fma.f64 (/.f64 y z) z z) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) |
(neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(neg.f64 x) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
#s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z))))) |
(cos.f64 (+.f64 z y)) |
(sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) |
(sin.f64 (+.f64 z y)) |
(/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
| Outputs |
|---|
#<batchref> |
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#<batchref> |
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#<batchref> |
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#<batchref> |
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Compiled 58 015 to 4 787 computations (91.7% saved)
71 alts after pruning (66 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 672 | 28 | 1 700 |
| Fresh | 18 | 38 | 56 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 693 | 71 | 1 764 |
| Status | Accuracy | Program |
|---|---|---|
| 55.8% | (fma.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 z y) a))) (*.f64 (cos.f64 a) (cos.f64 (+.f64 z y))) x) | |
| 99.7% | (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (-.f64 x (tan.f64 a))) | |
| 69.5% | (fma.f64 (neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| ▶ | 61.5% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) |
| ▶ | 61.0% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
| 59.9% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) | |
| ▶ | 47.2% | (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
| 47.1% | (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (-.f64 x (tan.f64 a))) | |
| 47.0% | (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) | |
| 50.5% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (fma.f64 (cos.f64 z) y (sin.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 60.3% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 58.9% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 99.3% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) | |
| 78.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) | |
| 99.7% | (-.f64 (/.f64 (+.f64 (tan.f64 (*.f64 z #s(literal 1 binary64))) (tan.f64 (*.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 z #s(literal 1 binary64))) (tan.f64 (*.f64 y #s(literal 1 binary64)))))) (-.f64 (tan.f64 a) x)) | |
| 99.7% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (-.f64 (tan.f64 a) x)) | |
| 58.4% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 78.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 58.3% | (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 26.4% | (-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 24.4% | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 43.9% | (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) | |
| 26.4% | (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| ✓ | 78.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 78.8% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (fma.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) x (neg.f64 x)))) | |
| 47.1% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) | |
| 9.9% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 36.4% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) | |
| 78.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))))) | |
| ✓ | 47.2% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
| 22.1% | (-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) | |
| 39.5% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 65.9% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) | |
| 40.6% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 60.3% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) | |
| 38.7% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 59.1% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) | |
| 38.8% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 99.8% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) | |
| ✓ | 99.8% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
| 90.1% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) #s(approx (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 99.7% | (+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| 55.7% | (+.f64 x (/.f64 (sin.f64 (-.f64 (+.f64 y z) a)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 a)))) | |
| ▶ | 99.8% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
| 32.8% | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| 20.1% | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) #s(approx (- (pow y 3) (pow z 3)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| 15.5% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) z z)))) (tan.f64 a))) | |
| 28.0% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (/.f64 (*.f64 (neg.f64 z) z) y)))) (tan.f64 a))) | |
| 23.0% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (+.f64 z y)))) (tan.f64 a))) | |
| 16.1% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) | |
| 23.4% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) | |
| 35.1% | (+.f64 x (-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (tan.f64 a))) | |
| ✓ | 69.2% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
| 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| ✓ | 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 36.0% | (+.f64 x (-.f64 (tan.f64 (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 71.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 52.3% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) | |
| 78.5% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 59.8% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) #s(approx (cos (+ z y)) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 78.6% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) x) (*.f64 (tan.f64 a) x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 78.6% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) | |
| 59.0% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 #s(approx (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) x)) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 78.4% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))) | |
| 78.6% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) #s(literal -1 binary64)))) | |
| ▶ | 30.8% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
| 58.3% | #s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+.f64 (+.f64 x (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) | |
| 99.4% | #s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
Compiled 2 845 to 2 111 computations (25.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 (+.f64 z y)) | |
| cost-diff | 0 | (neg.f64 (sin.f64 (+.f64 z y))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) | |
| cost-diff | 320 | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (sin.f64 (+.f64 z y)) | |
| cost-diff | 0 | (neg.f64 (sin.f64 (+.f64 z y))) | |
| cost-diff | 128 | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) | |
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 0 | (sin.f64 (+.f64 y z)) | |
| cost-diff | 0 | (neg.f64 (sin.f64 (+.f64 y z))) | |
| cost-diff | 448 | (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| cost-diff | 0 | (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) | |
| cost-diff | 128 | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
| 3 840× | lower-fma.f32 |
| 3 830× | lower-fma.f64 |
| 1 488× | lower-*.f32 |
| 1 486× | lower-*.f64 |
| 976× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 389 |
| 0 | 95 | 389 |
| 1 | 181 | 381 |
| 2 | 343 | 374 |
| 3 | 767 | 374 |
| 4 | 1652 | 374 |
| 5 | 3190 | 374 |
| 6 | 3865 | 374 |
| 7 | 4252 | 374 |
| 8 | 4626 | 374 |
| 9 | 5116 | 374 |
| 10 | 5235 | 374 |
| 11 | 5293 | 374 |
| 12 | 5301 | 374 |
| 13 | 5421 | 374 |
| 14 | 5473 | 374 |
| 15 | 5473 | 374 |
| 16 | 5481 | 374 |
| 17 | 5481 | 374 |
| 18 | 5481 | 374 |
| 0 | 5481 | 372 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
x |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (tan.f64 z)) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) |
(neg.f64 x) |
x |
#s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(neg.f64 (sin.f64 (+.f64 y z))) |
(sin.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 y z)) |
(neg.f64 #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan a) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(sin.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) |
(/.f64 #s(literal -1 binary64) (cos.f64 z)) |
#s(literal -1 binary64) |
(cos.f64 z) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(sin.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) |
#s(literal 1 binary64) |
(neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)))) |
#s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))) |
(fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)) |
(neg.f64 y) |
(sin.f64 z) |
(cos.f64 z) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (-.f64 x (tan.f64 a)) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) |
x |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
(neg.f64 (tan.f64 z)) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) (cos.f64 (+.f64 y z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(neg.f64 (sin.f64 (+.f64 y z))) |
(sin.f64 (-.f64 (neg.f64 z) y)) |
(sin.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
(/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) |
#s(literal -1 binary64) |
(cos.f64 (+.f64 y z)) |
(neg.f64 #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan a) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(-.f64 x (fma.f64 #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (sin.f64 (+.f64 y z)) (tan.f64 a))) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(sin.f64 (-.f64 (neg.f64 z) y)) |
(sin.f64 (+.f64 z y)) |
(sin.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
#s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) |
(/.f64 #s(literal -1 binary64) (cos.f64 z)) |
#s(literal -1 binary64) |
(cos.f64 z) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 (sin.f64 (+.f64 y z)) #s(approx (cos (+ z y)) (fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z)))) (-.f64 (tan.f64 a) x)) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(sin.f64 (-.f64 (neg.f64 z) y)) |
(sin.f64 (+.f64 z y)) |
(sin.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) |
(/.f64 #s(literal -1 binary64) #s(approx (cos (+ z y)) (fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z)))) |
#s(literal 1 binary64) |
(neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)))) |
(neg.f64 #s(approx (cos (+ z y)) (fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z)))) |
#s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))) |
#s(approx (cos (+ z y)) (fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z))) |
(fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)) |
(fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z)) |
(neg.f64 y) |
(sin.f64 z) |
(cos.f64 z) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) | |
| accuracy | 0.178066259768442 | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) | |
| accuracy | 15.215111879513923 | (sin.f64 (+.f64 z y)) | |
| accuracy | 30.966796925183257 | #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))) | |
| accuracy | 0.109375 | (/.f64 #s(literal -1 binary64) (cos.f64 z)) | |
| accuracy | 0.178066259768442 | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) | |
| accuracy | 15.215111879513923 | (sin.f64 (+.f64 z y)) | |
| accuracy | 29.041649763773563 | #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) | |
| accuracy | 0.178066259768442 | (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| accuracy | 15.215111879513923 | (sin.f64 (+.f64 y z)) | |
| accuracy | 15.42934567669948 | (cos.f64 (+.f64 y z)) | |
| accuracy | 26.794894367560783 | #s(approx (- (tan a) x) (neg.f64 x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0 | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) | |
| accuracy | 0.2578125 | (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) | |
| accuracy | 44.21974051460761 | #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) | |
| accuracy | 0.078125 | (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) | |
| accuracy | 0.08314610241743066 | (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0.15529252930532605 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.2062581899887851 | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) |
| 423.0ms | 187× | 1 | valid |
| 29.0ms | 69× | 0 | valid |
Compiled 317 to 54 computations (83% saved)
ival-cos: 86.0ms (24.9% of total)ival-sin: 55.0ms (15.9% of total)ival-tan: 54.0ms (15.6% of total)ival-add: 41.0ms (11.9% of total)ival-mult: 37.0ms (10.7% of total)adjust: 23.0ms (6.7% of total)ival-neg: 21.0ms (6.1% of total)ival-div: 17.0ms (4.9% of total)ival-sub: 10.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (patch (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 z) (tan.f64 y)) (patch (+.f64 (tan.f64 z) (tan.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) (patch #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 (+.f64 y z))) (patch (neg.f64 (sin.f64 (+.f64 y z))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (+.f64 y z)) (patch (sin.f64 (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sin.f64 (+.f64 z y))) (patch (neg.f64 (sin.f64 (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 (+.f64 z y)) (patch (sin.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 (+.f64 y z)) (patch (cos.f64 (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (patch #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (cos.f64 z)) (patch (/.f64 #s(literal -1 binary64) (cos.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))) (patch #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) (patch #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1)))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) (patch (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) (taylor -inf x) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) (taylor -inf x) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) (taylor -inf x) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | z | @ | inf | ((+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (tan a) x)) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (+ (* (neg (sin (+ y z))) (/ -1 (cos (+ y z)))) (neg (- (tan a) x))) (neg (sin (+ y z))) (sin (+ y z)) (+ y z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (neg (sin (+ z y))) (sin (+ z y)) (+ z y) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (+ (* (neg (tan z)) (tan y)) 1) (- (tan a) x) (cos (+ y z)) (/ 1 (neg (cos (+ z y)))) (/ -1 (cos z)) (cos (+ z y))) |
| 7.0ms | z | @ | -inf | ((+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (tan a) x)) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (+ (* (neg (sin (+ y z))) (/ -1 (cos (+ y z)))) (neg (- (tan a) x))) (neg (sin (+ y z))) (sin (+ y z)) (+ y z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (neg (sin (+ z y))) (sin (+ z y)) (+ z y) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (+ (* (neg (tan z)) (tan y)) 1) (- (tan a) x) (cos (+ y z)) (/ 1 (neg (cos (+ z y)))) (/ -1 (cos z)) (cos (+ z y))) |
| 7.0ms | y | @ | -inf | ((+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (tan a) x)) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (+ (* (neg (sin (+ y z))) (/ -1 (cos (+ y z)))) (neg (- (tan a) x))) (neg (sin (+ y z))) (sin (+ y z)) (+ y z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (neg (sin (+ z y))) (sin (+ z y)) (+ z y) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (+ (* (neg (tan z)) (tan y)) 1) (- (tan a) x) (cos (+ y z)) (/ 1 (neg (cos (+ z y)))) (/ -1 (cos z)) (cos (+ z y))) |
| 6.0ms | a | @ | 0 | ((+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (tan a) x)) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (+ (* (neg (sin (+ y z))) (/ -1 (cos (+ y z)))) (neg (- (tan a) x))) (neg (sin (+ y z))) (sin (+ y z)) (+ y z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (neg (sin (+ z y))) (sin (+ z y)) (+ z y) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (+ (* (neg (tan z)) (tan y)) 1) (- (tan a) x) (cos (+ y z)) (/ 1 (neg (cos (+ z y)))) (/ -1 (cos z)) (cos (+ z y))) |
| 5.0ms | y | @ | inf | ((+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (tan a) x)) (* (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1)) (neg x) (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) (+ (* (neg (sin (+ y z))) (/ -1 (cos (+ y z)))) (neg (- (tan a) x))) (neg (sin (+ y z))) (sin (+ y z)) (+ y z) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (neg (sin (+ z y))) (sin (+ z y)) (+ z y) (+ (* (neg (sin (+ z y))) (/ 1 (neg (cos (+ z y))))) (- x (tan a))) (/ 1 (neg (cos (+ z y)))) (+ (* (neg (tan z)) (tan y)) 1) (- (tan a) x) (cos (+ y z)) (/ 1 (neg (cos (+ z y)))) (/ -1 (cos z)) (cos (+ z y))) |
| 1× | egg-herbie |
| 8 908× | lower-fma.f64 |
| 8 908× | lower-fma.f32 |
| 5 370× | lower-*.f64 |
| 5 370× | lower-*.f32 |
| 4 574× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 665 | 14353 |
| 1 | 2068 | 13883 |
| 2 | 6659 | 13726 |
| 0 | 8191 | 13489 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ x (+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) |
(+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) |
(+ (* -1 a) (* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1)))) |
(+ (* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) (* a (- (* -1/3 (pow a 2)) 1))) |
(+ (* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1))) |
(- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1) |
(- (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ a x)) 1) |
(- (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (* a (+ (* 1/3 (/ (pow a 2) x)) (/ 1 x)))) 1) |
(- (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (* a (+ (* (pow a 2) (+ (* 2/15 (/ (pow a 2) x)) (* 1/3 (/ 1 x)))) (/ 1 x)))) 1) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(* -1 x) |
(- a x) |
(- (* a (+ 1 (* 1/3 (pow a 2)))) x) |
(- (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) x) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
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(- (/ (sin a) (cos a)) x) |
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(- (/ (sin a) (cos a)) x) |
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(/ (sin y) (cos y)) |
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(/ (sin y) (cos y)) |
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(- (* -1 (/ (- (/ (sin y) (cos y)) (/ (sin a) (cos a))) x)) 1) |
(- (+ (* -1 (* z (- (/ 1 x) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 2))))))) (* -1 (/ (- (/ (sin y) (cos y)) (/ (sin a) (cos a))) x))) 1) |
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(- (+ (* -1 (/ (- (/ (sin y) (cos y)) (/ (sin a) (cos a))) x)) (* z (+ (* -1 (- (/ 1 x) (* -1 (/ (pow (sin y) 2) (* x (pow (cos y) 2)))))) (* z (+ (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* x (cos y)))) (* z (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* x (pow (cos y) 2)))) (+ (* -1/2 (/ (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))) x)) (+ (* 1/6 (/ 1 x)) (* 1/6 (/ (pow (sin y) 2) (* x (pow (cos y) 2))))))))))))) 1) |
(- (+ x (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(* -1 (sin y)) |
(- (* -1 (* z (cos y))) (sin y)) |
(- (* z (- (* 1/2 (* z (sin y))) (cos y))) (sin y)) |
(- (* z (- (* z (- (* 1/6 (* z (cos y))) (* -1/2 (sin y)))) (cos y))) (sin y)) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (+ (cos y) (* -1/2 (* z (sin y)))))) |
(+ (sin y) (* z (+ (cos y) (* z (+ (* -1/2 (sin y)) (* -1/6 (* z (cos y)))))))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(- (+ x (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(* -1 (sin y)) |
(- (* -1 (* z (cos y))) (sin y)) |
(- (* z (- (* 1/2 (* z (sin y))) (cos y))) (sin y)) |
(- (* z (- (* z (- (* 1/6 (* z (cos y))) (* -1/2 (sin y)))) (cos y))) (sin y)) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (+ (cos y) (* -1/2 (* z (sin y)))))) |
(+ (sin y) (* z (+ (cos y) (* z (+ (* -1/2 (sin y)) (* -1/6 (* z (cos y)))))))) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(- (+ x (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (/ (* z (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2)))))) (cos y))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (- (+ 1 (* z (- (* -1 (* z (+ 1/6 (+ (* -1 (/ (* (pow (sin y) 2) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (pow (cos y) 2))) (+ (* -1/2 (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* 1/6 (/ (pow (sin y) 2) (pow (cos y) 2)))))))) (* -1 (/ (* (sin y) (- 1 (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(/ -1 (cos y)) |
(- (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (/ 1 (cos y))) |
(- (* z (- (* -1 (* z (+ (* 1/2 (/ 1 (cos y))) (/ (pow (sin y) 2) (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))) (/ 1 (cos y))) |
(- (* z (- (* z (- (* -1 (* z (+ (* -1/6 (/ (sin y) (pow (cos y) 2))) (+ (* 1/2 (/ (sin y) (pow (cos y) 2))) (/ (* (sin y) (+ (* 1/2 (/ 1 (cos y))) (/ (pow (sin y) 2) (pow (cos y) 3)))) (cos y)))))) (+ (* 1/2 (/ 1 (cos y))) (/ (pow (sin y) 2) (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))) (/ 1 (cos y))) |
1 |
(+ 1 (* -1 (/ (* z (sin y)) (cos y)))) |
(+ 1 (* z (+ (* -1 (/ (sin y) (cos y))) (* -1/3 (/ (* (pow z 2) (sin y)) (cos y)))))) |
(+ 1 (* z (+ (* -1 (/ (sin y) (cos y))) (* (pow z 2) (+ (* -1/3 (/ (sin y) (cos y))) (* -2/15 (/ (* (pow z 2) (sin y)) (cos y)))))))) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* z (- (* -1/2 (* z (cos y))) (sin y)))) |
(+ (cos y) (* z (- (* z (+ (* -1/2 (cos y)) (* 1/6 (* z (sin y))))) (sin y)))) |
(/ -1 (cos y)) |
(- (* -1 (/ (* z (sin y)) (pow (cos y) 2))) (/ 1 (cos y))) |
(- (* z (- (* -1 (* z (+ (* 1/2 (/ 1 (cos y))) (/ (pow (sin y) 2) (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))) (/ 1 (cos y))) |
(- (* z (- (* z (- (* -1 (* z (+ (* -1/6 (/ (sin y) (pow (cos y) 2))) (+ (* 1/2 (/ (sin y) (pow (cos y) 2))) (/ (* (sin y) (+ (* 1/2 (/ 1 (cos y))) (/ (pow (sin y) 2) (pow (cos y) 3)))) (cos y)))))) (+ (* 1/2 (/ 1 (cos y))) (/ (pow (sin y) 2) (pow (cos y) 3))))) (/ (sin y) (pow (cos y) 2)))) (/ 1 (cos y))) |
-1 |
(- (* -1/2 (pow z 2)) 1) |
(- (* (pow z 2) (- (* -5/24 (pow z 2)) 1/2)) 1) |
(- (* (pow z 2) (- (* (pow z 2) (- (* -61/720 (pow z 2)) 5/24)) 1/2)) 1) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* z (- (* -1/2 (* z (cos y))) (sin y)))) |
(+ (cos y) (* z (- (* z (+ (* -1/2 (cos y)) (* 1/6 (* z (sin y))))) (sin y)))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
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(cos (+ y z)) |
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(cos z) |
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(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(* -1 (sin (+ y z))) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
(sin (+ y z)) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(cos (+ y z)) |
(cos (+ y z)) |
(cos (+ y z)) |
(cos (+ y z)) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(/ -1 (cos (+ y z))) |
(cos (+ y z)) |
(cos (+ y z)) |
(cos (+ y z)) |
(cos (+ y z)) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1))) |
(- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (sin a) (cos a))) x)) 1) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(* -1 (sin (- z (* -1 y)))) |
(* -1 (sin (- z (* -1 y)))) |
(* -1 (sin (- z (* -1 y)))) |
(* -1 (sin (- z (* -1 y)))) |
(sin (- z (* -1 y))) |
(sin (- z (* -1 y))) |
(sin (- z (* -1 y))) |
(sin (- z (* -1 y))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(* -1 (sin (- z (* -1 y)))) |
(* -1 (sin (- z (* -1 y)))) |
(* -1 (sin (- z (* -1 y)))) |
(* -1 (sin (- z (* -1 y)))) |
(sin (- z (* -1 y))) |
(sin (- z (* -1 y))) |
(sin (- z (* -1 y))) |
(sin (- z (* -1 y))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a))) |
(/ -1 (cos (- z (* -1 y)))) |
(/ -1 (cos (- z (* -1 y)))) |
(/ -1 (cos (- z (* -1 y)))) |
(/ -1 (cos (- z (* -1 y)))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) |
(cos (- z (* -1 y))) |
(cos (- z (* -1 y))) |
(cos (- z (* -1 y))) |
(cos (- z (* -1 y))) |
(/ -1 (cos (- z (* -1 y)))) |
(/ -1 (cos (- z (* -1 y)))) |
(/ -1 (cos (- z (* -1 y)))) |
(/ -1 (cos (- z (* -1 y)))) |
(cos (- z (* -1 y))) |
(cos (- z (* -1 y))) |
(cos (- z (* -1 y))) |
(cos (- z (* -1 y))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) |
(/ (+ (* -1 x) (* -1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))))) x) |
(/ (+ (* -1 x) (* -1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))))) x) |
(/ (+ (* -1 x) (* -1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))))) x) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ (sin a) (cos a)) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* -1 x) (/ (sin a) (cos a))) |
x |
(* x (- (+ 1 (+ (/ (sin y) (* x (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin z) (* x (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (/ (sin y) (* x (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin z) (* x (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (/ (sin y) (* x (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin z) (* x (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) (/ (sin a) (* x (cos a))))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-1 |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
x |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
-1 |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
(- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
| Outputs |
|---|
(+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+.f64 (+.f64 x (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (cos.f64 y)) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (cos.f64 y)) #s(literal 1 binary64)))) |
(+ x (+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
(+.f64 (+.f64 (-.f64 x a) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (cos.f64 y)) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (cos.f64 y)) #s(literal 1 binary64)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))))) |
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(sin z) |
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z |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* y (sin z)) (cos z)))) |
(fma.f64 (neg.f64 y) (/.f64 (sin.f64 z) (cos.f64 z)) #s(literal 1 binary64)) |
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(fma.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/3 binary64)) (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (neg.f64 (sin.f64 z)) (cos.f64 z))) y #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (/ (sin z) (cos z))) (* (pow y 2) (+ (* -1/3 (/ (sin z) (cos z))) (* -2/15 (/ (* (pow y 2) (sin z)) (cos z)))))))) |
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(cos z) |
(cos.f64 z) |
(+ (cos z) (* -1 (* y (sin z)))) |
(fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)) |
(+ (cos z) (* y (- (* -1/2 (* y (cos z))) (sin z)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 z)) y) (sin.f64 z)) y (cos.f64 z)) |
(+ (cos z) (* y (- (* y (+ (* -1/2 (cos z)) (* 1/6 (* y (sin z))))) (sin z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (sin.f64 z) y) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 z))) y) (sin.f64 z)) y (cos.f64 z)) |
(/ -1 (cos z)) |
(/.f64 #s(literal -1 binary64) (cos.f64 z)) |
(- (* -1 (/ (* y (sin z)) (pow (cos z) 2))) (/ 1 (cos z))) |
(fma.f64 (neg.f64 y) (/.f64 (sin.f64 z) (pow.f64 (cos.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 (cos z))) (/ (pow (sin z) 2) (pow (cos z) 3))))) (/ (sin z) (pow (cos z) 2)))) (/ 1 (cos z))) |
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(cos z) |
(cos.f64 z) |
(+ (cos z) (* -1 (* y (sin z)))) |
(fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)) |
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(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
| 4 486× | lower-fma.f32 |
| 4 476× | lower-fma.f64 |
| 4 128× | lower-/.f32 |
| 4 120× | lower-/.f64 |
| 3 712× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 291 |
| 0 | 95 | 264 |
| 1 | 422 | 224 |
| 2 | 3852 | 223 |
| 0 | 9143 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64))) |
(neg.f64 x) |
#s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(neg.f64 (sin.f64 (+.f64 y z))) |
(sin.f64 (+.f64 y z)) |
(+.f64 y z) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(neg.f64 (sin.f64 (+.f64 z y))) |
(sin.f64 (+.f64 z y)) |
(+.f64 z y) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
#s(approx (- (tan a) x) (neg.f64 x)) |
(cos.f64 (+.f64 y z)) |
#s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) |
(/.f64 #s(literal -1 binary64) (cos.f64 z)) |
#s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))) |
| Outputs |
|---|
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Compiled 42 387 to 3 249 computations (92.3% saved)
74 alts after pruning (68 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 583 | 15 | 1 598 |
| Fresh | 8 | 53 | 61 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 595 | 74 | 1 669 |
| Status | Accuracy | Program |
|---|---|---|
| 58.3% | (fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 z) #s(literal 2 binary64)) (pow.f64 (tan.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (tan.f64 z) (tan.f64 y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 55.8% | (fma.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 z y) a))) (*.f64 (cos.f64 a) (cos.f64 (+.f64 z y))) x) | |
| 99.7% | (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (-.f64 x (tan.f64 a))) | |
| 69.5% | (fma.f64 (neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 59.9% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) | |
| 42.3% | (fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) #s(approx (/ -1 (cos z)) #s(literal -1 binary64))) (-.f64 x (tan.f64 a))) | |
| 39.6% | (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 39.2% | (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 39.3% | (fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 y))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 47.1% | (fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (-.f64 x (tan.f64 a))) | |
| 40.6% | (fma.f64 (neg.f64 (sin.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 60.3% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) | |
| 60.4% | (fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) | |
| 29.3% | (fma.f64 (neg.f64 #s(approx (sin (+ y z)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 38.7% | (fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 38.6% | (fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 99.3% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) | |
| 78.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) | |
| 99.7% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (-.f64 (tan.f64 a) x)) | |
| 58.4% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 61.5% | (-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) #s(approx (cos (+ z y)) (fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z)))) x) (tan.f64 a)) | |
| 78.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 58.3% | (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 26.4% | (-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 24.4% | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 43.9% | (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) | |
| 26.4% | (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| ✓ | 78.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 36.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 78.8% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (fma.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) x (neg.f64 x)))) | |
| 47.1% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) | |
| 9.9% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 36.4% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) | |
| ✓ | 47.2% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
| 22.1% | (-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) | |
| 39.5% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 65.9% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) | |
| 40.6% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 60.3% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) | |
| 38.7% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 59.1% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) | |
| 38.8% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 99.8% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) | |
| ✓ | 99.8% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
| 90.1% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) #s(approx (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 99.7% | (+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| 55.7% | (+.f64 x (/.f64 (sin.f64 (-.f64 (+.f64 y z) a)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 a)))) | |
| 99.8% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) | |
| 79.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) | |
| 32.8% | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| 20.1% | (+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) #s(approx (- (pow y 3) (pow z 3)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) | |
| 15.5% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) z z)))) (tan.f64 a))) | |
| 23.0% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (+.f64 z y)))) (tan.f64 a))) | |
| 16.1% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) | |
| 23.4% | (+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) | |
| 35.1% | (+.f64 x (-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (tan.f64 a))) | |
| ✓ | 69.2% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
| ✓ | 78.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 36.0% | (+.f64 x (-.f64 (tan.f64 (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 71.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) | |
| 52.3% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) | |
| 78.5% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 30.7% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) | |
| 30.8% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) | |
| 59.8% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) #s(approx (cos (+ z y)) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 78.6% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) x) (*.f64 (tan.f64 a) x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 78.6% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) | |
| 78.4% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))) | |
| 78.6% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) #s(literal -1 binary64)))) | |
| ✓ | 30.8% | #s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
| 58.3% | #s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+.f64 (+.f64 x (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) | |
| 99.4% | #s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
Compiled 4 011 to 1 712 computations (57.3% saved)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) #s(approx (/ -1 (cos z)) #s(literal -1 binary64))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (tan a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a)))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) (-.f64 (tan.f64 a) x)) |
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(fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 z) #s(literal 2 binary64)) (pow.f64 (tan.f64 y) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (tan.f64 z) (tan.f64 y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) |
#s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (+.f64 (+.f64 x (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
#s(approx (+ x (/ (+ (* (+ (tan z) (tan y)) (cos a)) (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a)))) (* (+ (* (neg (tan z)) (tan y)) 1) (cos a)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
9 calls:
| 70.0ms | y |
| 40.0ms | z |
| 37.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 36.0ms | (tan.f64 a) |
| 35.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | a |
| 99.8% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 99.8% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 99.8% | 1 | (tan.f64 (+.f64 y z)) |
| 99.8% | 1 | (+.f64 y z) |
| 99.8% | 1 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) #s(approx (/ -1 (cos z)) #s(literal -1 binary64))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (tan a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a)))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 y))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (+.f64 z y)))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) x) (*.f64 (tan.f64 a) x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (/.f64 (*.f64 (neg.f64 z) z) y)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) z z)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (+.f64 (tan.f64 (+.f64 z y)) x)) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (/.f64 (sin.f64 (-.f64 (+.f64 y z) a)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 a)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (fma.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) x (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) #s(approx (- (pow y 3) (pow z 3)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (tan.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) #s(approx (cos (+ z y)) (fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z)))) x) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (tan.f64 a) x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (fma.f64 (cos.f64 z) y (sin.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))))) (-.f64 x (tan.f64 a))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x)) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 #s(approx (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (-.f64 x (tan.f64 a))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) #s(approx (cos (+ z y)) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(-.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (pow.f64 (+.f64 y z) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 y z))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 x (tan.f64 a))) |
(-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) |
(-.f64 (/.f64 (+.f64 (tan.f64 (*.f64 z #s(literal 1 binary64))) (tan.f64 (*.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 z #s(literal 1 binary64))) (tan.f64 (*.f64 y #s(literal 1 binary64)))))) (-.f64 (tan.f64 a) x)) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(fma.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) (/.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y)))) x) |
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (-.f64 x (tan.f64 (+.f64 z y))) #s(literal 1 binary64))) (*.f64 (-.f64 x (tan.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (tan.f64 a)))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) #s(approx (* (+ (* (neg (tan z)) (tan y)) 1) (neg (sin a))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) #s(approx (* (- 1 (* (tan y) (tan z))) (neg (sin a))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (sin.f64 (+.f64 (+.f64 z y) a))) (*.f64 (cos.f64 a) (cos.f64 (+.f64 z y))) x) |
(fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) |
9 calls:
| 44.0ms | (tan.f64 (+.f64 y z)) |
| 37.0ms | z |
| 36.0ms | x |
| 36.0ms | (tan.f64 a) |
| 35.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | a |
| 99.8% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 99.8% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 99.8% | 1 | (tan.f64 (+.f64 y z)) |
| 99.8% | 1 | (+.f64 y z) |
| 99.8% | 1 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) #s(approx (/ -1 (cos z)) #s(literal -1 binary64))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (tan a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a)))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 y))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (+.f64 z y)))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) x) (*.f64 (tan.f64 a) x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (/.f64 (*.f64 (neg.f64 z) z) y)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) z z)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (+.f64 (tan.f64 (+.f64 z y)) x)) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (/.f64 (sin.f64 (-.f64 (+.f64 y z) a)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 a)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (fma.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) x (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) #s(approx (- (pow y 3) (pow z 3)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (tan.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(-.f64 (+.f64 (/.f64 (sin.f64 (+.f64 y z)) #s(approx (cos (+ z y)) (fma.f64 (sin.f64 z) (neg.f64 y) (cos.f64 z)))) x) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 (tan.f64 a) x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (fma.f64 (cos.f64 z) y (sin.f64 z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z))))) (-.f64 x (tan.f64 a))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (pow.f64 (-.f64 z y) #s(literal -1 binary64)))))) (-.f64 x (tan.f64 a))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x)) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 #s(approx (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) (/.f64 (-.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (/.f64 (sin.f64 a) (cos.f64 a))) x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (cos (+ z y)) (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))))) (-.f64 x (tan.f64 a))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) #s(approx (cos (+ z y)) (cos.f64 y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(-.f64 (tan.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 y z) #s(literal -1 binary64)) (pow.f64 (+.f64 y z) #s(literal -1 binary64))) #s(literal -1/2 binary64))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (pow.f64 (pow.f64 (neg.f64 (cos.f64 (+.f64 y z))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 x (tan.f64 a))) |
(-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
9 calls:
| 31.0ms | a |
| 28.0ms | (+.f64 y z) |
| 28.0ms | (tan.f64 (+.f64 y z)) |
| 27.0ms | (tan.f64 a) |
| 27.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 1 | x |
| 83.2% | 2 | y |
| 79.6% | 1 | z |
| 90.0% | 3 | a |
| 79.6% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 79.6% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 79.6% | 1 | (tan.f64 (+.f64 y z)) |
| 79.6% | 1 | (+.f64 y z) |
| 90.0% | 3 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) #s(approx (/ -1 (cos z)) #s(literal -1 binary64))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (tan a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a)))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 y))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (+.f64 z y)))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) x) (*.f64 (tan.f64 a) x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (/.f64 (*.f64 (neg.f64 z) z) y)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) z z)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (+.f64 (tan.f64 (+.f64 z y)) x)) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ z y)) (sin.f64 z))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (/.f64 (sin.f64 (-.f64 (+.f64 y z) a)) (*.f64 (cos.f64 (+.f64 y z)) (cos.f64 a)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (fma.f64 z (cos.f64 y) (sin.f64 y)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (fma.f64 (neg.f64 y) (sin.f64 z) (cos.f64 z)))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (fma.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) x (neg.f64 x)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) #s(approx (/ 1 (neg (cos (+ z y)))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (-.f64 x (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) (*.f64 (+.f64 z y) (pow.f64 (fma.f64 (-.f64 z y) z (*.f64 y y)) #s(literal -1 binary64))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 y z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) #s(approx (- (pow y 3) (pow z 3)) (neg.f64 (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 y z) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (tan.f64 a))) |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
4 calls:
| 56.0ms | (tan.f64 a) |
| 30.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 22.0ms | a |
| 20.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 79.6% | 1 | y |
| 79.6% | 1 | a |
| 79.6% | 1 | (tan.f64 a) |
Compiled 13 to 22 computations (-69.2% saved)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) #s(approx (/ -1 (cos z)) #s(literal -1 binary64))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (tan a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a)))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 y))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (+.f64 z y)))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) x) (*.f64 (tan.f64 a) x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (/.f64 (*.f64 (neg.f64 z) z) y)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) z z)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
| Outputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
9 calls:
| 67.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 41.0ms | x |
| 39.0ms | (tan.f64 (+.f64 y z)) |
| 16.0ms | a |
| 15.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | (tan.f64 (+.f64 y z)) |
| 78.9% | 1 | (tan.f64 a) |
| 78.9% | 1 | x |
| 78.9% | 1 | y |
| 78.9% | 1 | z |
| 78.9% | 1 | (+.f64 y z) |
| 78.9% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 78.9% | 1 | a |
| 78.9% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) #s(approx (/ 1 (neg (cos (+ z y)))) #s(approx (/ -1 (cos z)) #s(literal -1 binary64))) (-.f64 x (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (tan a) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a)))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 y))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 #s(approx (sin (+ y z)) (sin.f64 z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 y))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) #s(approx (cos (+ y z)) (cos.f64 z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x)) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 y z))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (+.f64 z y)))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z)))) (/.f64 #s(literal -1 binary64) (cos.f64 (+.f64 y z))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (*.f64 (tan.f64 (+.f64 y z)) x) (*.f64 (tan.f64 a) x)) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))))) (tan.f64 a))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (/.f64 (*.f64 (neg.f64 z) z) y)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 #s(approx (+ (* (/ (* y y) (- (pow y 3) (pow z 3))) (+ (* z (+ z y)) (* y y))) (neg (* z (/ z (- y z))))) (fma.f64 (-.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) (*.f64 (/.f64 y z) (/.f64 y z))) z z))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (fma.f64 (fma.f64 (/.f64 y z) (/.f64 y z) (/.f64 y z)) z z)))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 (+.f64 y z) z (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y)) (neg.f64 (*.f64 z (/.f64 z (-.f64 y z)))))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (fma.f64 #s(approx (/ (* y y) (- (pow y 3) (pow z 3))) (/.f64 #s(literal 1 binary64) y)) (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(approx (neg (* z (/ z (- y z)))) (*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) (*.f64 z z))))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
| Outputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
9 calls:
| 46.0ms | (+.f64 y z) |
| 41.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 37.0ms | a |
| 15.0ms | (tan.f64 (+.f64 y z)) |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.9% | 1 | a |
| 78.9% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 78.9% | 1 | x |
| 78.9% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 78.9% | 1 | z |
| 78.9% | 1 | (tan.f64 (+.f64 y z)) |
| 78.9% | 1 | (+.f64 y z) |
| 78.9% | 1 | (tan.f64 a) |
| 78.9% | 1 | y |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
9 calls:
| 5.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 5.0ms | (tan.f64 a) |
| 5.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 5.0ms | y |
| 5.0ms | (+.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | a |
| 47.2% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 47.2% | 1 | x |
| 47.2% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 47.2% | 1 | z |
| 47.2% | 1 | (tan.f64 (+.f64 y z)) |
| 47.2% | 1 | (+.f64 y z) |
| 47.2% | 1 | (tan.f64 a) |
| 47.2% | 1 | y |
Compiled 29 to 49 computations (-69% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
9 calls:
| 2.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 2.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 2.0ms | (tan.f64 (+.f64 y z)) |
| 1.0ms | (tan.f64 a) |
| 1.0ms | (+.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.8% | 1 | y |
| 30.8% | 1 | z |
| 30.8% | 1 | (tan.f64 (+.f64 y z)) |
| 30.8% | 1 | (+.f64 y z) |
| 30.8% | 1 | x |
| 30.8% | 1 | a |
| 30.8% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 30.8% | 1 | (tan.f64 a) |
| 30.8% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
Compiled 29 to 49 computations (-69% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6573099479725217e-9 | 4.482198711318632e-6 |
| 0.0ms | -0.006780153699071144 | -0.00010236261486896464 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | egg-herbie |
| 238× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 170× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 158× | neg-mul-1-binary64-*.f64-neg.f64 |
| 100× | neg-sub0-binary64--.f64-neg.f64 |
| 96× | +-commutative-binary64-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 213 |
| 1 | 112 | 213 |
| 2 | 154 | 213 |
| 3 | 184 | 212 |
| 4 | 220 | 212 |
| 5 | 263 | 212 |
| 6 | 299 | 212 |
| 7 | 367 | 212 |
| 8 | 466 | 212 |
| 9 | 526 | 212 |
| 10 | 580 | 212 |
| 11 | 634 | 212 |
| 12 | 685 | 212 |
| 13 | 715 | 212 |
| 14 | 745 | 212 |
| 15 | 774 | 212 |
| 16 | 793 | 212 |
| 17 | 798 | 212 |
| 18 | 799 | 212 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/1152921504606846976 binary64)) (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) (if (<=.f64 (tan.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
| Outputs |
|---|
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(+.f64 (/.f64 (fma.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (cos.f64 a) (*.f64 (-.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 1 binary64)) (sin.f64 a))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) x) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) |
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/1152921504606846976 binary64)) (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) (if (<=.f64 (tan.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))))) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/1152921504606846976 binary64)) (-.f64 x (-.f64 (tan.f64 a) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))))) (if (<=.f64 (tan.f64 a) #s(literal 4835703278458517/2417851639229258349412352 binary64)) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) (-.f64 x (-.f64 (tan.f64 a) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))))))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 x (-.f64 (tan.f64 a) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))))) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a))) x) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(+.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) x) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 y z)) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 (neg.f64 x) #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)))) |
#s(approx (- (tan (+ z y)) (- (tan a) x)) (*.f64 #s(approx (+ (* (/ (- (/ (sin (+ z y)) (cos (+ z y))) (/ (sin a) (cos a))) x) -1) -1) #s(literal -1 binary64)) (neg.f64 x))) |
| 8 908× | lower-fma.f64 |
| 8 908× | lower-fma.f32 |
| 7 812× | lower-fma.f64 |
| 7 812× | lower-fma.f32 |
| 7 514× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1090 | 21543 |
| 1 | 3395 | 20794 |
| 0 | 8172 | 20240 |
| 0 | 1314 | 25231 |
| 1 | 4199 | 23236 |
| 0 | 8848 | 22646 |
| 0 | 665 | 14353 |
| 1 | 2068 | 13883 |
| 2 | 6659 | 13726 |
| 0 | 8191 | 13489 |
| 0 | 59 | 291 |
| 0 | 95 | 264 |
| 1 | 422 | 224 |
| 2 | 3852 | 223 |
| 0 | 9143 | 223 |
| 0 | 68 | 453 |
| 0 | 123 | 420 |
| 1 | 552 | 372 |
| 2 | 4977 | 372 |
| 0 | 8122 | 372 |
| 0 | 50 | 351 |
| 0 | 99 | 419 |
| 1 | 459 | 236 |
| 2 | 4159 | 236 |
| 0 | 8676 | 236 |
| 0 | 9 | 25 |
| 0 | 14 | 25 |
| 1 | 70 | 25 |
| 2 | 599 | 25 |
| 3 | 7878 | 25 |
| 0 | 8007 | 25 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 500 to 281 computations (43.8% saved)
(sort y z)
Compiled 814 to 422 computations (48.2% saved)
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