
Time bar (total: 30.8s)
| 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)
| 9.3s | 2 491× | 0 | valid |
| 6.3s | 5 765× | 1 | valid |
const: 9.1s (60.1% of total)ival-tan: 2.5s (16.4% of total)ival-add: 2.3s (15.3% of total)ival-<=: 556.0ms (3.7% of total)adjust: 452.0ms (3% of total)ival-sub: 79.0ms (0.5% of total)ival-and: 74.0ms (0.5% of total)ival-==: 36.0ms (0.2% of total)ival-or: 30.0ms (0.2% of total)exact: 10.0ms (0.1% of total)ival-assert: 3.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 68 | 125 | (9.072248830152374 1.0231894412762778e-109 2.798688258958921e+291 -8.361428214902972e-38) | 0 | - | (tan.f64 (+.f64 y z)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (+.f64 y z) |
| 0 | 0 | - | 0 | - | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 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 | 193 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 67 | 0 |
| - | 126 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 67 | 0 | 0 |
| - | 126 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 157.0ms | 356× | 1 | valid |
| 33.0ms | 156× | 0 | valid |
Compiled 71 to 31 computations (56.3% saved)
ival-tan: 138.0ms (85.9% of total)adjust: 9.0ms (5.6% of total)ival-add: 9.0ms (5.6% of total)ival-sub: 4.0ms (2.5% of total)ival-true: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 80.3% | (+.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))) |
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 | 0.14128876953688405 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) | |
| accuracy | 0.1425463011575378 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 y z)) |
| 64.0ms | 178× | 1 | valid |
| 8.0ms | 78× | 0 | valid |
Compiled 31 to 11 computations (64.5% saved)
ival-tan: 44.0ms (76.4% of total)adjust: 6.0ms (10.4% of total)ival-add: 5.0ms (8.7% of total)ival-sub: 2.0ms (3.5% 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>) () ())) ()) |
#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))) (taylor 0 z) (#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 8.0ms | z | @ | -inf | ((+ x (- (tan (+ y z)) (tan a))) (- (tan (+ y z)) (tan a)) (tan (+ y z)) (+ y z) (tan a)) |
| 3.0ms | y | @ | -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 |
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))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) |
(/ (sin a) (cos a)) |
(/.f64 (sin.f64 a) (cos.f64 a)) |
(/ (sin a) (cos a)) |
(/.f64 (sin.f64 a) (cos.f64 a)) |
(/ (sin a) (cos a)) |
(/.f64 (sin.f64 a) (cos.f64 a)) |
(/ (sin a) (cos a)) |
(/.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))) |
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(/ (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) |
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)
35 alts after pruning (34 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 34 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 478 | 35 | 513 |
| Status | Accuracy | Program |
|---|---|---|
| 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))) | |
| 79.8% | (fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (tan.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 a)) (-.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 z y))) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)))) x) | |
| 99.7% | (fma.f64 (-.f64 (*.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)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) x) | |
| 79.9% | (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))) | |
| 80.3% | (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) | |
| 80.3% | (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (+.f64 (tan.f64 (+.f64 z y)) x)) | |
| ▶ | 80.2% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (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))) | |
| 80.2% | (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))) | |
| ▶ | 80.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 80.3% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| ▶ | 80.3% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 99.7% | (+.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)))) | |
| 80.3% | (+.f64 x (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (tan.f64 (+.f64 z y)))) | |
| 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))))) | |
| 99.7% | (+.f64 x (-.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 y) #s(literal 2 binary64)) (pow.f64 (tan.f64 z) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) | |
| ▶ | 99.7% | (+.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))) |
| 73.0% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| 80.3% | (+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) | |
| 80.3% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| ✓ | 80.3% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 39.2% | (+.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)))) | |
| 28.8% | (+.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))) | |
| ▶ | 75.5% | (+.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))) |
| 45.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) | |
| 68.5% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) | |
| 66.6% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) | |
| 60.2% | (+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) | |
| 60.8% | (+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) | |
| 49.7% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| 39.7% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) | |
| 80.0% | (*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))))) | |
| 80.2% | #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)) | |
| 8.7% | #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)))) | |
| 60.2% | #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 1 299 to 955 computations (26.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) | |
| cost-diff | 27008 | (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) | |
| cost-diff | 0 | (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) | |
| cost-diff | 0 | (+.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))) | |
| cost-diff | 320 | (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) | |
| cost-diff | 7168 | (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| 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 | (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) | |
| 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 | (+.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 337 |
| 0 | 69 | 280 |
| 1 | 122 | 271 |
| 2 | 277 | 268 |
| 3 | 719 | 268 |
| 4 | 2277 | 268 |
| 5 | 5083 | 268 |
| 0 | 8177 | 267 |
| 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))) |
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 |
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) |
(-.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 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) |
(tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(+.f64 z y) |
z |
y |
(*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(-.f64 y z) |
(pow.f64 (-.f64 y z) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(literal 2 binary64) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
(tan.f64 a) |
a |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) |
#s(literal 1 binary64) |
(neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y)))) |
(+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) |
x |
| 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 |
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) |
(/.f64 #s(literal -1 binary64) (-.f64 (-.f64 (tan.f64 a) x) (tan.f64 (+.f64 y z)))) |
(-.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 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(tan.f64 (+.f64 y z)) |
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(+.f64 y z) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(-.f64 y z) |
(pow.f64 (-.f64 y z) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(tan.f64 a) |
a |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) |
(neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) |
(pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) |
(pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) |
(tan.f64 (+.f64 z y)) |
(tan.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
#s(literal 2 binary64) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
(tan.f64 a) |
a |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) |
(/.f64 #s(literal -1 binary64) (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
#s(literal 1 binary64) |
(neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y)))) |
(neg.f64 (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) |
(+.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18942130115753777 | (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) | |
| accuracy | 0.29134750976844204 | (pow.f64 (tan.f64 a) #s(literal 2 binary64)) | |
| accuracy | 0.34279252930532605 | (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.14128876953688405 | (+.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))) | |
| accuracy | 0.1425463011575378 | (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) | |
| accuracy | 0.15625 | (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 14.470374345696847 | (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) | |
| accuracy | 0.15919877930532605 | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) | |
| accuracy | 0.23828125 | (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) | |
| accuracy | 0.28125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0 | (tan.f64 a) | |
| accuracy | 0.06316376953688403 | (-.f64 (tan.f64 a) x) | |
| accuracy | 0.15919877930532605 | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.09375 | (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) | |
| accuracy | 0.11232377930532605 | (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0.14128876953688405 | (+.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))) | |
| accuracy | 0.1425463011575378 | (-.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)) |
| 238.0ms | 187× | 1 | valid |
| 59.0ms | 69× | 0 | valid |
Compiled 344 to 41 computations (88.1% saved)
ival-tan: 103.0ms (42.2% of total)ival-mult: 45.0ms (18.4% of total)ival-add: 28.0ms (11.5% of total)adjust: 17.0ms (7% of total)ival-div: 12.0ms (4.9% of total)ival-sub: 12.0ms (4.9% of total)ival-pow: 11.0ms (4.5% of total)ival-pow2: 11.0ms (4.5% of total)ival-neg: 5.0ms (2% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (-.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 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) (patch (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) (patch (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) (patch (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (patch (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) #<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 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (patch (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 a) #s(literal 2 binary64)) #<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 (-.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 (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#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 (+ 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)) (-.f64 (tan.f64 a) x)) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) 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)) (-.f64 (tan.f64 a) x)) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 a) (#s(alt (-.f64 (tan.f64 a) x) (patch (-.f64 (tan.f64 a) x) #<representation binary64>) () ())) ()) |
#s(alt (- a x) (taylor 0 a) (#s(alt (-.f64 (tan.f64 a) x) (patch (-.f64 (tan.f64 a) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (+ 1 (* 1/3 (pow a 2)))) x) (taylor 0 a) (#s(alt (-.f64 (tan.f64 a) x) (patch (-.f64 (tan.f64 a) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) x) (taylor 0 a) (#s(alt (-.f64 (tan.f64 a) x) (patch (-.f64 (tan.f64 a) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* a (+ (* a (+ (* 1/3 (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 4)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)))) (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (+.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))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (+.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))) (patch (+.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))) #<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 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) (patch (+.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))) #<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 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)) x)) (* -1 (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.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))) (patch (+.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))) #<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 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) (patch (+.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))) #<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 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) (patch (+.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))) #<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 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) (patch (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) (patch (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) (patch (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) (patch (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | 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)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (* (- y z) (pow (- y z) -1)) (* (+ z y) (* (- y z) (pow (- y z) -1))) (+ x (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a))) (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a)) (+ (* (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y)))))) x) (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y))))) (- (pow (tan (+ z y)) 2) (pow (tan a) 2)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (pow (tan (+ z y)) 2) (pow (tan a) 2)) |
| 15.0ms | 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)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (* (- y z) (pow (- y z) -1)) (* (+ z y) (* (- y z) (pow (- y z) -1))) (+ x (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a))) (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a)) (+ (* (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y)))))) x) (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y))))) (- (pow (tan (+ z y)) 2) (pow (tan a) 2)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (pow (tan (+ z y)) 2) (pow (tan a) 2)) |
| 14.0ms | a | @ | 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)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (* (- y z) (pow (- y z) -1)) (* (+ z y) (* (- y z) (pow (- y z) -1))) (+ x (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a))) (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a)) (+ (* (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y)))))) x) (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y))))) (- (pow (tan (+ z y)) 2) (pow (tan a) 2)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (pow (tan (+ z y)) 2) (pow (tan a) 2)) |
| 12.0ms | z | @ | 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)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (* (- y z) (pow (- y z) -1)) (* (+ z y) (* (- y z) (pow (- y z) -1))) (+ x (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a))) (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a)) (+ (* (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y)))))) x) (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y))))) (- (pow (tan (+ z y)) 2) (pow (tan a) 2)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (pow (tan (+ z y)) 2) (pow (tan a) 2)) |
| 9.0ms | 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)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (* (- y z) (pow (- y z) -1)) (* (+ z y) (* (- y z) (pow (- y z) -1))) (+ x (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a))) (- (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (tan a)) (+ (* (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y)))))) x) (neg (- (pow (tan (+ z y)) 2) (pow (tan a) 2))) (/ 1 (neg (+ (tan a) (tan (+ z y))))) (- (pow (tan (+ z y)) 2) (pow (tan a) 2)) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (tan (* (+ z y) (* (- y z) (pow (- y z) -1)))) (pow (tan (+ z y)) 2) (pow (tan a) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 937 | 22664 |
| 1 | 2937 | 22041 |
| 0 | 8339 | 21691 |
| 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) |
(- 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))))) |
(/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) |
(+ (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) |
(+ (* a (+ (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z)))))) |
(+ (* a (+ (* a (+ (* a (+ (* 1/3 (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 4)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)))) (/ 1 (+ x (/ (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))))) |
(/ (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))))) |
(* -1 (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(- (pow a 2) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(- (* (pow a 2) (+ 1 (* 2/3 (pow a 2)))) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(- (* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* 17/45 (pow a 2)))))) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(* -1 (/ (cos (+ y z)) (sin (+ y z)))) |
(+ (* -1 (/ (cos (+ y z)) (sin (+ y z)))) (/ (* a (pow (cos (+ y z)) 2)) (pow (sin (+ y z)) 2))) |
(+ (* -1 (/ (cos (+ y z)) (sin (+ y z)))) (* a (- (* -1 (/ (* a (pow (cos (+ y z)) 3)) (pow (sin (+ y z)) 3))) (* -1 (/ (pow (cos (+ y z)) 2) (pow (sin (+ y z)) 2)))))) |
(+ (* -1 (/ (cos (+ y z)) (sin (+ y z)))) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (pow (cos (+ y z)) 4) (pow (sin (+ y z)) 4))) (* -1/3 (/ (pow (cos (+ y z)) 2) (pow (sin (+ y z)) 2)))))) (/ (pow (cos (+ y z)) 3) (pow (sin (+ y z)) 3)))) (* -1 (/ (pow (cos (+ y z)) 2) (pow (sin (+ y z)) 2)))))) |
(/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2)) |
(+ (* -1 (pow a 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(+ (* (pow a 2) (- (* -2/3 (pow a 2)) 1)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(+ (* (pow a 2) (- (* (pow a 2) (- (* -17/45 (pow a 2)) 2/3)) 1)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
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)))))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2/3 (pow a 2)))) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* 17/45 (pow a 2)))))) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* (pow a 2) (+ 17/45 (* 62/315 (pow a 2)))))))) |
(- (+ 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))) |
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(- (+ 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))) |
(/ (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))) |
(- (+ 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 (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a)))) |
(/ 1 (- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a)))) |
(/ 1 (- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a)))) |
(/ 1 (- (+ x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))) (/ (sin a) (cos a)))) |
1 |
1 |
1 |
1 |
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))) |
(- (/ (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))) |
(+ x (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))))) |
(+ x (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))))) |
(+ x (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))))) |
(+ x (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))))) |
(- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(/ -1 (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) |
(/ -1 (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) |
(/ -1 (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) |
(/ -1 (+ (/ (sin a) (cos a)) (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) |
(- (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) (/ (pow (sin a) 2) (pow (cos a) 2))) |
(- (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) (/ (pow (sin a) 2) (pow (cos a) 2))) |
(- (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) (/ (pow (sin a) 2) (pow (cos a) 2))) |
(- (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) (/ (pow (sin a) 2) (pow (cos a) 2))) |
(+ 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))))) |
(/ (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)))) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(- (+ (/ (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 a) (cos a)) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* -1 x) (/ (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 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) |
(+ (* -1 (/ x (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2))) (/ 1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))))) |
(+ (* x (- (/ x (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 3)) (/ 1 (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)))) (/ 1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 4))) (/ 1 (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 3)))) (/ 1 (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)))) (/ 1 (- (/ (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 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))))) |
(+ x (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) |
(+ x (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) |
(+ x (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) |
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))))) |
(* -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 (+ 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 (/ (sin a) (* x (cos a)))) (/ (sin (+ y z)) (* x (cos (+ y z))))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) (pow x 2))) (/ (sin a) (* x (cos a))))) (/ (sin (+ y z)) (* x (cos (+ y z))))) x) |
(/ (- (+ 1 (+ (/ (sin a) (* x (cos a))) (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)) (pow x 3)))) (+ (/ (sin (+ y z)) (* x (cos (+ y z)))) (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) (pow x 2)))) x) |
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 (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (* x (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))) |
(* x (+ 1 (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (* x (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))) |
(* x (+ 1 (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (* x (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))) |
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))) |
(* -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))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)) x)) (* -1 (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
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 (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) |
(* -1 (* x (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) |
(* -1 (* x (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) |
| 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 (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)) |
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(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -17/45 binary64) (*.f64 a a) #s(literal -2/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a) a (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) |
a |
(* a (+ 1 (* 1/3 (pow a 2)))) |
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) |
(*.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) |
(* a (+ 1 (* (pow a 2) (+ 1/3 (* (pow a 2) (+ 2/15 (* 17/315 (pow a 2)))))))) |
(*.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) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2/3 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a) a) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* 17/45 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 a a) #s(literal 2/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a) a) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* (pow a 2) (+ 17/45 (* 62/315 (pow a 2)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 a a) #s(literal 17/45 binary64)) (*.f64 a a) #s(literal 2/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a) 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))) |
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(- (+ 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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(- (+ 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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(- (+ 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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z |
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1 |
#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(/ (- (+ 1 (+ (/ (sin a) (* x (cos a))) (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)) (pow x 3)))) (+ (/ (sin (+ y z)) (* x (cos (+ y z)))) (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) (pow x 2)))) x) |
(/.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x) (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)))) x) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(*.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (-.f64 #s(literal 1 binary64) (/.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 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (-.f64 #s(literal 1 binary64) (/.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 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x) |
x |
(* x (+ 1 (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (* x (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))) |
(fma.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x)) x) |
(* x (+ 1 (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (* x (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))) |
(fma.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x)) x) |
(* x (+ 1 (* -1 (/ (- (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (* x (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))) |
(fma.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x)) x) |
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))) |
(*.f64 (neg.f64 x) (fma.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 (/.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 (/ (- (+ (/ (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))) |
(*.f64 (neg.f64 x) (fma.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 (/.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 (/ (- (+ (/ (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))) |
(*.f64 (neg.f64 x) (fma.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 (/.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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) (neg.f64 x)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)) x)) (* -1 (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (-.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) #s(literal 2 binary64)) x) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))))) x)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
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 (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -1 (* x (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(* -1 (* x (- (/ (pow (sin a) 2) (* x (* (pow (cos a) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))) (+ 1 (/ (pow (sin (+ y z)) 2) (* x (* (pow (cos (+ y z)) 2) (+ (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z))))))))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 244 |
| 0 | 69 | 248 |
| 1 | 320 | 149 |
| 2 | 3000 | 149 |
| 0 | 8577 | 149 |
| 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)) |
(-.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 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) |
(*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) |
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))) |
(+.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))) |
(-.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 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) |
(-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(tan.f64 a) |
(tan.f64 (*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) |
(pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 139 772 to 7 046 computations (95% saved)
47 alts after pruning (43 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 365 | 28 | 4 393 |
| Fresh | 14 | 15 | 29 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 4 381 | 47 | 4 428 |
| Status | Accuracy | Program |
|---|---|---|
| 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))) | |
| 79.8% | (fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (tan.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 a)) (-.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 z y))) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)))) x) | |
| 99.7% | (fma.f64 (-.f64 (*.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)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) x) | |
| ▶ | 79.9% | (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))) |
| 80.3% | (fma.f64 (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) x) | |
| 80.3% | (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (+.f64 (tan.f64 (+.f64 z y)) x)) | |
| 87.5% | (fma.f64 (neg.f64 (fma.f64 (/.f64 (tan.f64 (+.f64 y z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) | |
| 39.0% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) | |
| 80.3% | (fma.f64 (neg.f64 (-.f64 (/.f64 (tan.f64 (+.f64 y z)) (pow.f64 (tan.f64 (+.f64 y z)) #s(literal -1 binary64))) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (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))) | |
| 76.4% | (pow.f64 (*.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) | |
| ✓ | 80.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 49.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) | |
| ▶ | 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| 58.5% | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 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)) | |
| 99.2% | (-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 x (+.f64 (tan.f64 a) x) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (fma.f64 x (+.f64 (tan.f64 a) x) (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) (/.f64 (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (fma.f64 x (+.f64 (tan.f64 a) x) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))))) | |
| 80.3% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| ▶ | 80.1% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
| 80.3% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) | |
| ✓ | 80.3% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 39.1% | (-.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)) | |
| 39.2% | (-.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)) | |
| 8.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 39.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) | |
| 49.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 80.3% | (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) | |
| 66.6% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) | |
| 60.2% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) | |
| 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))))) | |
| 46.5% | (+.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))) #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)))) | |
| 46.6% | (+.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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) | |
| 99.7% | (+.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))) | |
| ▶ | 99.7% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) |
| 80.4% | (+.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))) | |
| 51.2% | (+.f64 x (-.f64 (/.f64 #s(approx (+ (tan z) (tan y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal 1 binary64)) y (/.f64 (sin.f64 z) (cos.f64 z)))) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 73.0% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| 80.3% | (+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) | |
| ✓ | 80.3% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 28.8% | (+.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))) | |
| ✓ | 75.5% | (+.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))) |
| 44.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (*.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) | |
| ▶ | 45.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| 60.8% | (+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) | |
| 49.7% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| 80.0% | (*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))))) | |
| 80.2% | #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)) |
Compiled 1 936 to 1 356 computations (30% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (tan.f64 (+.f64 z y)) | |
| cost-diff | 128 | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) | |
| cost-diff | 0 | (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) | |
| cost-diff | 14592 | (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))) | |
| cost-diff | 0 | (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) | |
| cost-diff | 0 | (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) | |
| cost-diff | 1728 | (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| cost-diff | 0 | (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 448 |
| 0 | 99 | 495 |
| 1 | 165 | 411 |
| 2 | 316 | 391 |
| 3 | 841 | 391 |
| 4 | 2673 | 391 |
| 5 | 6265 | 391 |
| 0 | 8267 | 390 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) |
x |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
#s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) |
(sin.f64 z) |
(*.f64 (cos.f64 z) (cos.f64 y)) |
(cos.f64 z) |
(cos.f64 y) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) |
(tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (+.f64 z y) (-.f64 z y)) |
(+.f64 z y) |
z |
y |
(-.f64 z y) |
(/.f64 #s(literal 1 binary64) (-.f64 z y)) |
#s(literal 1 binary64) |
(tan.f64 a) |
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 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) |
(*.f64 x x) |
x |
(pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) |
#s(literal 1 binary64) |
(-.f64 x (tan.f64 (+.f64 z y))) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) |
(/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
(tan.f64 a) |
a |
#s(literal 2 binary64) |
(+.f64 (tan.f64 a) x) |
x |
(/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (sin.f64 z) (*.f64 (cos.f64 y) (cos.f64 z))) (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (sin.f64 z) (*.f64 (cos.f64 y) (cos.f64 z))) (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (sin.f64 z) (*.f64 (cos.f64 y) (cos.f64 z))) (neg.f64 (sin.f64 y)) #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 |
#s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) |
#s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (sin.f64 z) (*.f64 (cos.f64 y) (cos.f64 z))) (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (sin.f64 z) (*.f64 (cos.f64 y) (cos.f64 z))) (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) |
(/.f64 (sin.f64 z) (*.f64 (cos.f64 y) (cos.f64 z))) |
(sin.f64 z) |
(*.f64 (cos.f64 z) (cos.f64 y)) |
(*.f64 (cos.f64 y) (cos.f64 z)) |
(cos.f64 z) |
(cos.f64 y) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.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 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(tan.f64 (+.f64 y z)) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(+.f64 y z) |
(*.f64 (+.f64 z y) (-.f64 z y)) |
(*.f64 (-.f64 z y) (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(-.f64 z y) |
(/.f64 #s(literal 1 binary64) (-.f64 z y)) |
#s(literal 1 binary64) |
(tan.f64 a) |
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 y z)) (-.f64 (tan.f64 a) x)) |
(-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) |
(-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64))) |
(*.f64 x x) |
x |
(pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) |
(pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) |
(tan.f64 (+.f64 z y)) |
(tan.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (tan.f64 (+.f64 y z)) x)) |
#s(literal 1 binary64) |
(-.f64 x (tan.f64 (+.f64 z y))) |
(-.f64 x (tan.f64 (+.f64 y z))) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) |
(tan.f64 (+.f64 z y)) |
(tan.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
(-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) (neg.f64 x) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x))) |
(/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
(tan.f64 a) |
a |
#s(literal 2 binary64) |
(+.f64 (tan.f64 a) x) |
x |
(/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) |
(*.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.21712875976844204 | (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) | |
| accuracy | 0.26171875 | (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) | |
| accuracy | 0.29134750976844204 | (pow.f64 (tan.f64 a) #s(literal 2 binary64)) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.26740362195431466 | (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) | |
| accuracy | 0.311052174297186 | (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))) | |
| accuracy | 0.34279252930532605 | (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.14128876953688405 | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) | |
| accuracy | 0.1425463011575378 | (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) | |
| accuracy | 14.470374345696847 | (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) | |
| accuracy | 28.497422906525216 | (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.28125 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 44.0854625900842 | #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.09375 | (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) | |
| accuracy | 0.14128876953688405 | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) | |
| accuracy | 0.1425463011575378 | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) | |
| accuracy | 0.217128759768442 | (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) |
| 382.0ms | 187× | 1 | valid |
| 28.0ms | 69× | 0 | valid |
Compiled 388 to 55 computations (85.8% saved)
ival-tan: 206.0ms (56.5% of total)adjust: 37.0ms (10.2% of total)ival-div: 20.0ms (5.5% of total)ival-mult: 20.0ms (5.5% of total)ival-sub: 19.0ms (5.2% of total)ival-pow2: 17.0ms (4.7% of total)ival-add: 16.0ms (4.4% of total)ival-sin: 13.0ms (3.6% of total)ival-cos: 12.0ms (3.3% of total)ival-neg: 5.0ms (1.4% 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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (patch (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (patch (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (patch (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (patch (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.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 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) (patch (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) #<representation binary64>) () ()) |
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#s(alt (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) (patch (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) #<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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.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 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z)))))) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (+ (* a (+ (* a (+ (* 1/3 (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 4)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)))) (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z)))))) (taylor 0 a) (#s(alt #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z))))) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z))))))) (taylor 0 a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 a) (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z))))))) (taylor 0 a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z))))))) (taylor 0 a) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) #<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 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) (patch (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) (patch (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) (patch (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) (patch (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) (patch (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin a) 2) (* x (pow (cos a) 2))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin a) 4) (* x (pow (cos a) 4))) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 5) (* x (pow (cos a) 5))) (/ (pow (sin a) 4) (pow (cos a) 4))) x)) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) (patch (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (sin a) (* x (cos a))) 1))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) (patch (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (pow (sin a) 2) (* x (pow (cos a) 2))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) (patch (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 3) (* x (pow (cos a) 3))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) (patch (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | a | @ | 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)) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/ 1 x) (* (* (+ z y) (- z y)) (/ 1 (- z y))) (+ x (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a)) (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (+ (* (- (* x x) (pow (tan (+ z y)) 2)) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (- (* x x) (pow (tan (+ z y)) 2)) (* x x) (pow (tan (+ z y)) 2) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/ (sin z) (* (cos z) (cos y))) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) |
| 12.0ms | 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)) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/ 1 x) (* (* (+ z y) (- z y)) (/ 1 (- z y))) (+ x (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a)) (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (+ (* (- (* x x) (pow (tan (+ z y)) 2)) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (- (* x x) (pow (tan (+ z y)) 2)) (* x x) (pow (tan (+ z y)) 2) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/ (sin z) (* (cos z) (cos y))) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) |
| 9.0ms | 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)) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/ 1 x) (* (* (+ z y) (- z y)) (/ 1 (- z y))) (+ x (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a)) (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (+ (* (- (* x x) (pow (tan (+ z y)) 2)) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (- (* x x) (pow (tan (+ z y)) 2)) (* x x) (pow (tan (+ z y)) 2) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/ (sin z) (* (cos z) (cos y))) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) |
| 9.0ms | x | @ | 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)) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/ 1 x) (* (* (+ z y) (- z y)) (/ 1 (- z y))) (+ x (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a)) (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (+ (* (- (* x x) (pow (tan (+ z y)) 2)) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (- (* x x) (pow (tan (+ z y)) 2)) (* x x) (pow (tan (+ z y)) 2) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/ (sin z) (* (cos z) (cos y))) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) |
| 9.0ms | y | @ | 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)) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/ 1 x) (* (* (+ z y) (- z y)) (/ 1 (- z y))) (+ x (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (tan a)) (tan (* (* (+ z y) (- z y)) (/ 1 (- z y)))) (+ (* (- (* x x) (pow (tan (+ z y)) 2)) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (- (* x x) (pow (tan (+ z y)) 2)) (* x x) (pow (tan (+ z y)) 2) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/ (sin z) (* (cos z) (cos y))) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1143 | 22035 |
| 1 | 3620 | 21405 |
| 0 | 8231 | 21068 |
| 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 (/ (sin (+ y z)) (cos (+ y z))))) |
(+ (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) |
(+ (* a (+ (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z)))))) |
(+ (* a (+ (* a (+ (* a (+ (* 1/3 (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 4)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 3)))) (/ 1 (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2)))) (/ 1 (+ x (/ (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))))) |
(/ (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)))) |
(- (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z))))) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z))))))) |
(- (+ (* -1 a) (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z))))))) |
(- (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z))))))) |
(- (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (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) (- (* a (- (* 1/3 (/ 1 x)) (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))))) 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 (* a (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x)))))))) x) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2/3 (pow a 2)))) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* 17/45 (pow a 2)))))) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* (pow a 2) (+ 17/45 (* 62/315 (pow a 2)))))))) |
(/ (pow a 2) x) |
(* (pow a 2) (+ (* -1 (/ a (pow x 2))) (/ 1 x))) |
(* (pow a 2) (+ (* a (- (* a (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (* a (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3))))) (/ 1 (pow x 2)))) (/ 1 x))) |
x |
(+ x (* -1 a)) |
(+ x (* a (- (/ a x) 1))) |
(+ x (* a (- (* a (+ (* -1 (* a (+ 1/3 (/ 1 (pow x 2))))) (/ 1 x))) 1))) |
(- (+ 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))) |
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(+ y z) |
(+ y z) |
(+ y z) |
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(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(- (/ (pow x 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (- z (* -1 y))) 2) (* (pow (cos (- z (* -1 y))) 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))))))) |
(- (/ (pow x 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (- z (* -1 y))) 2) (* (pow (cos (- z (* -1 y))) 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))))))) |
(- (/ (pow x 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (- z (* -1 y))) 2) (* (pow (cos (- z (* -1 y))) 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))))))) |
(- (/ (pow x 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (- z (* -1 y))) 2) (* (pow (cos (- z (* -1 y))) 2) (- x (/ (sin (- z (* -1 y))) (cos (- z (* -1 y))))))))) |
(- (pow x 2) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(- (pow x 2) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(- (pow x 2) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(- (pow x 2) (/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2))) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(/ (pow (sin (- z (* -1 y))) 2) (pow (cos (- z (* -1 y))) 2)) |
(- (+ (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a)))))) |
(- (+ (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a)))))) |
(- (+ (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a)))))) |
(- (+ (/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (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 z) (* (cos y) (cos z))) |
(/ (sin z) (* (cos y) (cos z))) |
(/ (sin z) (* (cos y) (cos z))) |
(/ (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 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))) |
(/ 1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) |
(+ (* -1 (/ x (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2))) (/ 1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))))) |
(+ (* x (- (/ x (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 3)) (/ 1 (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)))) (/ 1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 4))) (/ 1 (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 3)))) (/ 1 (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)))) (/ 1 (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (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))) |
(* -1 (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(- x (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(- (* x (+ 1 (* x (+ (* -1 (/ (cos (+ y z)) (sin (+ y z)))) (/ (cos (+ y z)) (sin (+ y z))))))) (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(- (* x (+ 1 (* x (+ (* -1 (/ (cos (+ y z)) (sin (+ y z)))) (/ (cos (+ y z)) (sin (+ y z))))))) (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(* -1 (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(- (pow x 2) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(- (pow x 2) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(- (pow x 2) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ (* x (+ 1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a)))))) (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ (* x (+ 1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a)))))) (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ (sin a) (cos a)) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a))))) 1)) (/ (sin a) (cos a))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a))))) 1)) (/ (sin a) (cos a))) |
(/ (sin a) (cos a)) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* x (- (/ (* x (cos a)) (sin a)) 1)) (/ (sin a) (cos a))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos a) 2)) (pow (sin a) 2))) (* -1 (/ (cos a) (sin a))))) 1)) (/ (sin a) (cos a))) |
(/ (* (pow x 2) (cos a)) (sin a)) |
(* (pow x 2) (+ (* -1 (/ (* x (pow (cos a) 2)) (pow (sin a) 2))) (/ (cos a) (sin a)))) |
(* (pow x 2) (+ (* x (- (/ (* x (pow (cos a) 3)) (pow (sin a) 3)) (/ (pow (cos a) 2) (pow (sin a) 2)))) (/ (cos a) (sin a)))) |
(* (pow x 2) (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos a) 4)) (pow (sin a) 4))) (* -1 (/ (pow (cos a) 3) (pow (sin a) 3))))) (/ (pow (cos a) 2) (pow (sin a) 2)))) (/ (cos a) (sin 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))))) |
(/ 1 x) |
(/ (- (+ 1 (/ (sin a) (* x (cos a)))) (/ (sin (+ y z)) (* x (cos (+ y z))))) x) |
(/ (- (+ 1 (+ (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) (pow x 2))) (/ (sin a) (* x (cos a))))) (/ (sin (+ y z)) (* x (cos (+ y z))))) x) |
(/ (- (+ 1 (+ (/ (sin a) (* x (cos a))) (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)) (pow x 3)))) (+ (/ (sin (+ y z)) (* x (cos (+ y z)))) (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) (pow x 2)))) x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
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 (* -1 (/ (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (pow x 2)))) (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a)))))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) (pow x 2)))) (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (- (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) (pow x 2))) (/ (sin (+ y z)) (* x (cos (+ y z)))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) (pow x 2))) (/ (sin (+ y z)) (* x (cos (+ y z)))))) (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
(* x (- (+ (* -1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (+ (/ (sin a) (* x (cos a))) (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2))))) 1)) |
(* x (- (+ (* -1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (+ (/ (sin a) (* x (cos a))) (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2))))) 1)) |
(/ (pow (sin a) 2) (* x (pow (cos a) 2))) |
(/ (+ (* -1 (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) (/ (pow (sin a) 2) (pow (cos a) 2))) x) |
(/ (- (+ (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin a) 4) (* (pow x 2) (pow (cos a) 4)))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x) |
(/ (- (+ (* -1 (/ (pow (sin a) 5) (* (pow x 3) (pow (cos a) 5)))) (/ (pow (sin a) 2) (pow (cos a) 2))) (+ (* -1 (/ (pow (sin a) 4) (* (pow x 2) (pow (cos a) 4)))) (/ (pow (sin a) 3) (* x (pow (cos a) 3))))) x) |
x |
(* x (+ 1 (* -1 (/ (sin a) (* x (cos a)))))) |
(* x (- (+ 1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (* -1 (/ (pow (sin a) 3) (* (pow x 3) (pow (cos a) 3))))) (+ (* -1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (/ (sin a) (* x (cos a)))))) |
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))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (pow (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) 2)) x)) (* -1 (* (- (/ (sin a) (cos a)) (/ (sin (+ y z)) (cos (+ y z)))) (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a)))))) x)) (/ (sin a) (cos a))) (/ (sin (+ y z)) (cos (+ y z)))) x)) 1) x)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
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))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
(/ (pow (sin a) 2) (* x (pow (cos a) 2))) |
(* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin a) 4) (* x (pow (cos a) 4))) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 5) (* x (pow (cos a) 5))) (/ (pow (sin a) 4) (pow (cos a) 4))) x)) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
x |
(* -1 (* x (- (/ (sin a) (* x (cos a))) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow (sin a) 2) (* x (pow (cos a) 2))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 3) (* x (pow (cos a) 3))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x)) 1))) |
| 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 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) (+ (/ (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 (- (* -1/3 (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 (/.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 (- (* (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 (/.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) |
(+ (/ (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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x |
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(/ (sin (+ y z)) (cos (+ y z))) |
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z |
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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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(* -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))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
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 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (sin.f64 a) x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (sin.f64 a) x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.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 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 #s(literal 0 binary64) x)) x))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 #s(literal 0 binary64) x)) x))) |
(/ (pow (sin a) 2) (* x (pow (cos a) 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin a) 4) (* x (pow (cos a) 4))) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 4 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 5) (* x (pow (cos a) 5))) (/ (pow (sin a) 4) (pow (cos a) 4))) x)) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 5 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 5 binary64))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 4 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) (neg.f64 x)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) (pow.f64 (cos.f64 a) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 x)) |
x |
(* -1 (* x (- (/ (sin a) (* x (cos a))) 1))) |
(neg.f64 (fma.f64 (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (/ (pow (sin a) 2) (* x (pow (cos a) 2))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 3) (* x (pow (cos a) 3))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 3 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 x)) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 313 |
| 0 | 99 | 284 |
| 1 | 423 | 217 |
| 2 | 3863 | 217 |
| 0 | 8312 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) |
(tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(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 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) |
(*.f64 x x) |
(pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
(-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x))) |
(/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) |
(/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)) |
| Outputs |
|---|
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Compiled 56 677 to 3 851 computations (93.2% saved)
59 alts after pruning (51 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 699 | 24 | 1 723 |
| Fresh | 11 | 27 | 38 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 711 | 59 | 1 770 |
| Status | Accuracy | Program |
|---|---|---|
| 79.9% | (fma.f64 (fma.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 (+.f64 y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 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))) | |
| ▶ | 80.1% | (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) |
| 79.8% | (fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (tan.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 a)) (-.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 z y))) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)))) x) | |
| 99.7% | (fma.f64 (-.f64 (*.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)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) x) | |
| ✓ | 79.9% | (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))) |
| 39.0% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) | |
| 80.3% | (fma.f64 (neg.f64 (-.f64 (/.f64 (tan.f64 (+.f64 y z)) (pow.f64 (tan.f64 (+.f64 y z)) #s(literal -1 binary64))) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (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))) | |
| 79.8% | (fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 44.1% | (fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 30.9% | (pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ✓ | 80.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 49.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) | |
| 30.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) | |
| 30.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) | |
| ✓ | 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| 30.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) | |
| 58.5% | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) | |
| 99.4% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.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)) | |
| 99.7% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (tan.f64 z) (cos.f64 y)) (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))) (-.f64 (tan.f64 a) x)) | |
| 80.3% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 99.4% | (-.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))) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) | |
| 80.3% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) | |
| ✓ | 80.3% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 38.4% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) | |
| 49.9% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) | |
| 18.0% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) | |
| 39.1% | (-.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)) | |
| 39.2% | (-.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)) | |
| 8.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 39.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) | |
| ▶ | 49.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
| 66.6% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) | |
| 60.2% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) | |
| 96.1% | (+.f64 x (fma.f64 (pow.f64 (/.f64 #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (tan.f64 z) (cos.f64 y)) (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (+.f64 (pow.f64 (tan.f64 y) #s(literal 3 binary64)) (pow.f64 (tan.f64 z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (tan.f64 y) (-.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (tan.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (tan.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))))) | |
| 46.5% | (+.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))) #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)))) | |
| 46.6% | (+.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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) | |
| ▶ | 99.7% | (+.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))) |
| ✓ | 99.7% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (tan.f64 a))) |
| 80.4% | (+.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))) | |
| 51.2% | (+.f64 x (-.f64 (/.f64 #s(approx (+ (tan z) (tan y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal 1 binary64)) y (/.f64 (sin.f64 z) (cos.f64 z)))) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 99.7% | (+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (tan.f64 z) (cos.f64 y)) (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) | |
| 73.0% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| 80.3% | (+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) | |
| ✓ | 80.3% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 28.8% | (+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 y z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z z)))) (tan.f64 a))) | |
| ▶ | 80.3% | (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) |
| ✓ | 75.5% | (+.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))) |
| ✓ | 45.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| ▶ | 45.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| 60.8% | (+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) | |
| 49.7% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| 80.0% | (*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))))) | |
| 30.9% | (exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) | |
| 80.2% | #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)) |
Compiled 2 142 to 1 641 computations (23.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 a) | |
| cost-diff | 0 | (+.f64 (tan.f64 a) x) | |
| cost-diff | 0 | (/.f64 x (+.f64 (tan.f64 a) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) | |
| cost-diff | 0 | (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) | |
| cost-diff | 7488 | (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) | |
| cost-diff | 7488 | (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) | |
| cost-diff | 0 | (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) | |
| cost-diff | 0 | (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) | |
| cost-diff | 1408 | (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y))) | |
| cost-diff | 0 | #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| cost-diff | 0 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| cost-diff | 0 | (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) | |
| cost-diff | 0 | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) | |
| cost-diff | 0 | (+.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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 445 |
| 0 | 90 | 365 |
| 1 | 155 | 349 |
| 2 | 333 | 313 |
| 3 | 1017 | 313 |
| 4 | 4729 | 313 |
| 0 | 8048 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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))) |
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 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) |
#s(literal 1 binary64) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) |
(tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) |
(*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y))) |
(-.f64 z y) |
z |
y |
(/.f64 (+.f64 y z) (-.f64 z y)) |
(+.f64 y z) |
(tan.f64 a) |
a |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) |
(tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) |
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) |
(pow.f64 (-.f64 z y) #s(literal -1 binary64)) |
(-.f64 z y) |
z |
y |
#s(literal -1 binary64) |
(*.f64 (-.f64 z y) (+.f64 y z)) |
(+.f64 y z) |
(/.f64 #s(literal 1 binary64) (-.f64 z y)) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) |
(/.f64 x (+.f64 (tan.f64 a) x)) |
x |
(+.f64 (tan.f64 a) x) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x))) |
(tan.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
(/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| 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))) |
(-.f64 (/.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 a) x)) |
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 (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)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) |
(/.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 |
(-.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)) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 y z)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 y z)) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) |
(tan.f64 (+.f64 y z)) |
(*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y))) |
(+.f64 y z) |
(-.f64 z y) |
z |
y |
(/.f64 (+.f64 y z) (-.f64 z y)) |
(+.f64 y z) |
(tan.f64 a) |
a |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.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 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
(tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(tan.f64 (+.f64 y z)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(+.f64 y z) |
(*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) |
(*.f64 (+.f64 y z) (-.f64 z y)) |
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) |
(+.f64 y z) |
(pow.f64 (-.f64 z y) #s(literal -1 binary64)) |
(-.f64 z y) |
z |
y |
#s(literal -1 binary64) |
(*.f64 (-.f64 z y) (+.f64 y z)) |
(*.f64 (+.f64 y z) (-.f64 z y)) |
(+.f64 y z) |
(/.f64 #s(literal 1 binary64) (-.f64 z y)) |
(pow.f64 (-.f64 z y) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) |
(-.f64 (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (tan.f64 (+.f64 y z))) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x))) |
(/.f64 x (+.f64 (tan.f64 a) x)) |
x |
(+.f64 (tan.f64 a) x) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x))) |
(tan.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
(/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23791754138909577 | (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) | |
| accuracy | 0.26171875 | (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) | |
| accuracy | 0.29134750976844204 | (pow.f64 (tan.f64 a) #s(literal 2 binary64)) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 y z)) | |
| accuracy | 0.1425463011575378 | (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) | |
| accuracy | 14.470374345696847 | (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) | |
| accuracy | 28.497422906525216 | (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) | |
| accuracy | 28.497422906525216 | (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) | |
| accuracy | 0.03515625 | (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y))) | |
| accuracy | 0.14128876953688405 | (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) | |
| accuracy | 0.1425463011575378 | (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) | |
| accuracy | 14.470374345696847 | (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.15919877930532605 | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| accuracy | 14.470374345696847 | (tan.f64 (+.f64 z y)) | |
| accuracy | 27.327073800427303 | #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) | |
| accuracy | 0.09375 | (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) | |
| accuracy | 0.14128876953688405 | (+.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))) | |
| accuracy | 0.1425463011575378 | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) | |
| accuracy | 0.234375 | (*.f64 (tan.f64 y) (tan.f64 z)) |
| 325.0ms | 187× | 1 | valid |
| 29.0ms | 69× | 0 | valid |
Compiled 442 to 49 computations (88.9% saved)
ival-tan: 117.0ms (50.7% of total)ival-mult: 28.0ms (12.1% of total)adjust: 21.0ms (9.1% of total)ival-div: 18.0ms (7.8% of total)ival-sub: 17.0ms (7.4% of total)ival-add: 16.0ms (6.9% of total)ival-pow: 8.0ms (3.5% of total)ival-pow2: 5.0ms (2.2% of total)ival-neg: 1.0ms (0.4% 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)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) (patch (+.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))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (patch (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.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 (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (patch #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y))) (patch (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (patch (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (patch (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (patch (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) (patch (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 (tan.f64 a) x)) (patch (/.f64 x (+.f64 (tan.f64 a) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 a) x) (patch (+.f64 (tan.f64 a) x) #<representation binary64>) () ()) |
#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 y) (tan.f64 z)) (patch (*.f64 (tan.f64 y) (tan.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (patch (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 a) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) (patch (+.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) (patch (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* a (- (* 1/3 (/ 1 x)) (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))))) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 a) (#s(alt #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (patch #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- a x) (taylor 0 a) (#s(alt #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (patch #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (+ 1 (* 1/3 (pow a 2)))) x) (taylor 0 a) (#s(alt #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (patch #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (+ 1 (* (pow a 2) (+ 1/3 (* a (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x)))))))) x) (taylor 0 a) (#s(alt #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (patch #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (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 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin (+ y z)) (cos (+ y z))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) (patch (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) #<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 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) (patch (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) (patch (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) (patch (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x (+.f64 (tan.f64 a) x)) (patch (/.f64 x (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (sin a) (* x (cos a))))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 (tan.f64 a) x)) (patch (/.f64 x (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (* -1 (/ (sin a) (cos a)))) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 (tan.f64 a) x)) (patch (/.f64 x (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) (* -1 (/ (sin a) (cos a)))) x))) (taylor -inf x) (#s(alt (/.f64 x (+.f64 (tan.f64 a) x)) (patch (/.f64 x (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (tan.f64 a) x) (patch (+.f64 (tan.f64 a) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) (taylor -inf x) (#s(alt (+.f64 (tan.f64 a) x) (patch (+.f64 (tan.f64 a) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) (taylor -inf x) (#s(alt (+.f64 (tan.f64 a) x) (patch (+.f64 (tan.f64 a) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) (taylor -inf x) (#s(alt (+.f64 (tan.f64 a) x) (patch (+.f64 (tan.f64 a) 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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow (sin a) 2) (* x (pow (cos a) 2))) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin a) 4) (* x (pow (cos a) 4))) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 5) (* x (pow (cos a) 5))) (/ (pow (sin a) 4) (pow (cos a) 4))) x)) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (patch (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | a | @ | inf | ((+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (* (- z y) (/ (+ y z) (- z y))) (+ x (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a))) (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a)) (tan (* (- z y) (/ (+ y z) (- z y)))) (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y))) (* (pow (- z y) -1) (* (- z y) (+ y z))) (+ x (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a)) (+ (* (/ x (+ (tan a) x)) x) (- (tan (+ y z)) (/ (pow (tan a) 2) (+ (tan a) x)))) (/ x (+ (tan a) x)) (+ (tan a) x) (tan a) (* (tan y) (tan z)) (neg x) (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan (+ y z)) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x))) |
| 7.0ms | a | @ | -inf | ((+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (* (- z y) (/ (+ y z) (- z y))) (+ x (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a))) (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a)) (tan (* (- z y) (/ (+ y z) (- z y)))) (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y))) (* (pow (- z y) -1) (* (- z y) (+ y z))) (+ x (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a)) (+ (* (/ x (+ (tan a) x)) x) (- (tan (+ y z)) (/ (pow (tan a) 2) (+ (tan a) x)))) (/ x (+ (tan a) x)) (+ (tan a) x) (tan a) (* (tan y) (tan z)) (neg x) (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan (+ y z)) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x))) |
| 7.0ms | y | @ | inf | ((+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (* (- z y) (/ (+ y z) (- z y))) (+ x (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a))) (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a)) (tan (* (- z y) (/ (+ y z) (- z y)))) (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y))) (* (pow (- z y) -1) (* (- z y) (+ y z))) (+ x (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a)) (+ (* (/ x (+ (tan a) x)) x) (- (tan (+ y z)) (/ (pow (tan a) 2) (+ (tan a) x)))) (/ x (+ (tan a) x)) (+ (tan a) x) (tan a) (* (tan y) (tan z)) (neg x) (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan (+ y z)) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x))) |
| 6.0ms | z | @ | inf | ((+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (* (- z y) (/ (+ y z) (- z y))) (+ x (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a))) (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a)) (tan (* (- z y) (/ (+ y z) (- z y)))) (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y))) (* (pow (- z y) -1) (* (- z y) (+ y z))) (+ x (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a)) (+ (* (/ x (+ (tan a) x)) x) (- (tan (+ y z)) (/ (pow (tan a) 2) (+ (tan a) x)))) (/ x (+ (tan a) x)) (+ (tan a) x) (tan a) (* (tan y) (tan z)) (neg x) (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan (+ y z)) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x))) |
| 5.0ms | y | @ | -inf | ((+ x (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))) (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a)) (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x)))) (tan (+ z y)) (+ z y) (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (* (- z y) (/ (+ y z) (- z y))) (+ x (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a))) (- (tan (* (- z y) (/ (+ y z) (- z y)))) (tan a)) (tan (* (- z y) (/ (+ y z) (- z y)))) (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y))) (* (pow (- z y) -1) (* (- z y) (+ y z))) (+ x (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a))) (- (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan a)) (+ (* (/ x (+ (tan a) x)) x) (- (tan (+ y z)) (/ (pow (tan a) 2) (+ (tan a) x)))) (/ x (+ (tan a) x)) (+ (tan a) x) (tan a) (* (tan y) (tan z)) (neg x) (tan (* (* (* (pow (- z y) -1) (* (- z y) (+ y z))) (- z y)) (/ 1 (- z y)))) (tan (+ y z)) (pow (tan a) 2) (/ (pow (tan a) 2) (+ (tan a) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 652 | 16918 |
| 1 | 2011 | 16506 |
| 2 | 6451 | 16383 |
| 0 | 8132 | 16035 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) |
(+ x (+ (* -1 a) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(+ (* -1 a) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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) (- (* a (- (* 1/3 (/ 1 x)) (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))))) 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 (* a (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x)))))))) 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))))) |
(/ (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) (- (* a (- (* 1/3 (/ 1 x)) (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))))) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
1 |
(+ 1 (* -1 (/ a x))) |
(+ 1 (* a (- (/ a (pow x 2)) (/ 1 x)))) |
(+ 1 (* a (- (* a (+ (* -1 (* a (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))))) (/ 1 (pow x 2)))) (/ 1 x)))) |
x |
(+ a x) |
(+ x (* a (+ 1 (* 1/3 (pow a 2))))) |
(+ x (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2))))))) |
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)))))))) |
(pow a 2) |
(* (pow a 2) (+ 1 (* 2/3 (pow a 2)))) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* 17/45 (pow a 2)))))) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* (pow a 2) (+ 17/45 (* 62/315 (pow a 2)))))))) |
(/ (pow a 2) x) |
(* (pow a 2) (+ (* -1 (/ a (pow x 2))) (/ 1 x))) |
(* (pow a 2) (+ (* a (- (* a (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
(* (pow a 2) (+ (* a (- (* a (+ (* -1 (* a (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3))))) (/ 1 (pow x 2)))) (/ 1 x))) |
(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
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(/ (sin (- z (* -1 y))) (cos (- z (* -1 y)))) |
(- (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (+ 1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a)))))) (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ (* x (+ 1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a)))))) (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ (sin a) (cos a)) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a))))) 1)) (/ (sin a) (cos a))) |
(+ (* x (- (* -1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a))))) 1)) (/ (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 (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ (* x (+ 1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a)))))) (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ (* x (+ 1 (* x (+ (* -1 (/ (cos a) (sin a))) (/ (cos a) (sin a)))))) (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ (* x (cos a)) (sin a)) |
(* x (+ (* -1 (/ (* x (pow (cos a) 2)) (pow (sin a) 2))) (/ (cos a) (sin a)))) |
(* x (+ (* x (- (/ (* x (pow (cos a) 3)) (pow (sin a) 3)) (/ (pow (cos a) 2) (pow (sin a) 2)))) (/ (cos a) (sin a)))) |
(* x (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos a) 4)) (pow (sin a) 4))) (* -1 (/ (pow (cos a) 3) (pow (sin a) 3))))) (/ (pow (cos a) 2) (pow (sin a) 2)))) (/ (cos a) (sin a)))) |
(/ (sin a) (cos a)) |
(+ x (/ (sin a) (cos a))) |
(+ x (/ (sin a) (cos a))) |
(+ x (/ (sin a) (cos a))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (sin a) (cos a)) |
(+ (* -1 x) (/ (sin a) (cos a))) |
(+ (* x (- (/ (* x (cos a)) (sin a)) 1)) (/ (sin a) (cos a))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos a) 2)) (pow (sin a) 2))) (* -1 (/ (cos a) (sin a))))) 1)) (/ (sin a) (cos a))) |
x |
(* x (- (+ 1 (+ (/ (sin y) (* x (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* x (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (/ (sin y) (* x (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* x (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (/ (sin y) (* x (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* x (* (cos z) (- 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 (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) (pow x 2))) (/ (sin (+ y z)) (* x (cos (+ y z)))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) (pow x 2))) (/ (sin (+ y z)) (* x (cos (+ y z)))))) (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* x (- (/ (sin a) (* x (cos a))) 1)) |
(* x (- (+ (* -1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (+ (/ (sin a) (* x (cos a))) (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2))))) 1)) |
(* x (- (+ (* -1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (+ (/ (sin a) (* x (cos a))) (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2))))) 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 (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) (pow x 2))) (/ (sin (+ y z)) (* x (cos (+ y z)))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) (pow x 2))) (/ (sin (+ y z)) (* x (cos (+ y z)))))) (/ (sin a) (* x (cos a))))) |
1 |
(+ 1 (* -1 (/ (sin a) (* x (cos a))))) |
(- (+ 1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (/ (sin a) (* x (cos a)))) |
(- (+ 1 (* -1 (/ (pow (sin a) 3) (* (pow x 3) (pow (cos a) 3))))) (+ (* -1 (/ (pow (sin a) 2) (* (pow x 2) (pow (cos a) 2)))) (/ (sin a) (* x (cos a))))) |
x |
(* x (+ 1 (/ (sin a) (* x (cos a))))) |
(* x (+ 1 (/ (sin a) (* x (cos a))))) |
(* x (+ 1 (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (pow (sin a) 2) (* x (pow (cos a) 2))) |
(/ (+ (* -1 (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) (/ (pow (sin a) 2) (pow (cos a) 2))) x) |
(/ (- (+ (/ (pow (sin a) 2) (pow (cos a) 2)) (/ (pow (sin a) 4) (* (pow x 2) (pow (cos a) 4)))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x) |
(/ (- (+ (* -1 (/ (pow (sin a) 5) (* (pow x 3) (pow (cos a) 5)))) (/ (pow (sin a) 2) (pow (cos a) 2))) (+ (* -1 (/ (pow (sin a) 4) (* (pow x 2) (pow (cos a) 4)))) (/ (pow (sin a) 3) (* x (pow (cos a) 3))))) x) |
x |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (sin a) (* x (cos a))))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
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 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
1 |
(+ 1 (* -1 (/ (sin a) (* x (cos a))))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (* -1 (/ (sin a) (cos a)))) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) (* -1 (/ (sin a) (cos a)))) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) |
(* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) |
(* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (pow (sin a) 2) (* x (pow (cos a) 2))) |
(* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin a) 4) (* x (pow (cos a) 4))) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 5) (* x (pow (cos a) 5))) (/ (pow (sin a) 4) (pow (cos a) 4))) x)) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
| Outputs |
|---|
(+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(+.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a 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 (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 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)))) |
(+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) |
(+.f64 (/.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)))) |
(+ (* -1 a) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/.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)))) a) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/.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))))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 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 (/.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 (/ (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 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* (pow a 2) (- (* a (- (* 1/3 (/ 1 x)) (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))))) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2/3 binary64) x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) x))) a #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(* -1 x) |
(neg.f64 x) |
(- a x) |
(-.f64 a x) |
(- (* a (+ 1 (* 1/3 (pow a 2)))) x) |
(-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a) x) |
(- (* a (+ 1 (* (pow a 2) (+ 1/3 (* a (- (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x)))))))) x) |
(-.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2/3 binary64) x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) x)) (/.f64 #s(literal 1/3 binary64) x)) a #s(literal 1/3 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 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x) (/.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 (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 (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 (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))))) |
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(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y 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 x) (/.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 (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))))) |
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(+ x (+ (* a (- (* (pow a 2) (- (* a (- (* 1/3 (/ 1 x)) (+ (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))))) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2/3 binary64) x)) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64)) x))) a #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ a x))) |
(-.f64 #s(literal 1 binary64) (/.f64 a x)) |
(+ 1 (* a (- (/ a (pow x 2)) (/ 1 x)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 a x) x) (/.f64 #s(literal 1 binary64) x)) a #s(literal 1 binary64)) |
(+ 1 (* a (- (* a (+ (* -1 (* a (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))))) (/ 1 (pow x 2)))) (/ 1 x)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (fma.f64 (/.f64 a x) #s(literal 1/3 binary64) (/.f64 a (pow.f64 x #s(literal 3 binary64))))) a (/.f64 #s(literal -1 binary64) x)) a #s(literal 1 binary64)) |
x |
(+ a x) |
(+.f64 a x) |
(+ x (* a (+ 1 (* 1/3 (pow a 2))))) |
(+.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/3 binary64) a) x) |
(+ x (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2))))))) |
(+.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)) a) x) |
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) |
(pow a 2) |
(*.f64 a a) |
(* (pow a 2) (+ 1 (* 2/3 (pow a 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a) a) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* 17/45 (pow a 2)))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 17/45 binary64) (*.f64 a a) #s(literal 2/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a) a) |
(* (pow a 2) (+ 1 (* (pow a 2) (+ 2/3 (* (pow a 2) (+ 17/45 (* 62/315 (pow a 2)))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/315 binary64) (*.f64 a a) #s(literal 17/45 binary64)) (*.f64 a a) #s(literal 2/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a) a) |
(/ (pow a 2) x) |
(*.f64 a (/.f64 a x)) |
(* (pow a 2) (+ (* -1 (/ a (pow x 2))) (/ 1 x))) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 a x) x)) a) a) |
(* (pow a 2) (+ (* a (- (* a (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x))) |
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(* (pow a 2) (+ (* a (- (* a (+ (* -1 (* a (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 2/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))) (+ (* 2/3 (/ 1 x)) (/ 1 (pow x 3))))) (/ 1 (pow x 2)))) (/ 1 x))) |
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(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
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(- (+ x (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
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(- (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin a) (cos a))) |
(+.f64 (-.f64 (/.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 (sin.f64 a) (cos.f64 a))) (/.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)))) |
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(fma.f64 x (/.f64 x (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))) |
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(fma.f64 x (/.f64 x (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))) |
(- (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a)))))) |
(fma.f64 x (/.f64 x (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))) |
(- (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a)))))) |
(fma.f64 x (/.f64 x (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)))) |
(- (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a))))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))) |
(- (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a))))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) |
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(- (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a))))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))) |
(- (/ (pow (sin a) 2) (* (pow (cos a) 2) (+ x (/ (sin a) (cos a))))) (/ (pow x 2) (+ x (/ (sin a) (cos a))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x))) |
(- (+ 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))) |
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(- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) |
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(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))) (/ (sin z) (* (cos z) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 (/.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 (sin.f64 a) (cos.f64 a))) (/.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))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (sin.f64 a) x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (sin.f64 a) x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x))) |
(* -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 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 2) (pow (cos a) 2))) x)) (/ (sin a) (cos a))) x))))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) x) (/.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))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #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))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (sin.f64 a) x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (+ (/ (sin (+ y z)) (cos (+ y z))) (/ (pow (sin a) 2) (* x (pow (cos a) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 a) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (sin.f64 a) x) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (/.f64 (sin.f64 a) (cos.f64 a))) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (sin a) (* x (cos a))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin a) 2) (* x (pow (cos a) 2)))) (* -1 (/ (sin a) (cos a)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) x)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) (* -1 (/ (sin a) (cos a)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64)) x)) x)) x)) |
x |
(* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 (* x (- (* -1 (/ (sin a) (* x (cos a)))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (pow (sin a) 2) (* x (pow (cos a) 2))) |
(/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) |
(* -1 (/ (+ (* -1 (/ (pow (sin a) 2) (pow (cos a) 2))) (/ (pow (sin a) 3) (* x (pow (cos a) 3)))) x)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (pow.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64)) x)) x) |
(* -1 (/ (+ (* -1 (/ (- (/ (pow (sin a) 4) (* x (pow (cos a) 4))) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 4 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 4 binary64))) (pow.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64))) (neg.f64 x)) (/.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64)) (pow.f64 (cos.f64 a) #s(literal 2 binary64)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sin a) 5) (* x (pow (cos a) 5))) (/ (pow (sin a) 4) (pow (cos a) 4))) x)) (/ (pow (sin a) 3) (pow (cos a) 3))) x)) (* -1 (/ (pow (sin a) 2) (pow (cos a) 2)))) x)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 a) #s(literal 2 binary64))) (pow.f64 (cos.f64 a) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 a) #s(literal 5 binary64)) x) (pow.f64 (cos.f64 a) #s(literal 5 binary64))) (/.f64 (pow.f64 (sin.f64 a) #s(literal 4 binary64)) (pow.f64 (cos.f64 a) #s(literal 4 binary64)))) x)) x)) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 335 |
| 0 | 90 | 163 |
| 1 | 421 | 145 |
| 2 | 4045 | 145 |
| 0 | 9055 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.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 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
#s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) |
(*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a)) |
(tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) |
(/.f64 x (+.f64 (tan.f64 a) x)) |
(+.f64 (tan.f64 a) x) |
(tan.f64 a) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
(neg.f64 x) |
(tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(tan.f64 (+.f64 y z)) |
(pow.f64 (tan.f64 a) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) |
| Outputs |
|---|
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Compiled 73 725 to 4 199 computations (94.3% saved)
69 alts after pruning (58 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 331 | 19 | 2 350 |
| Fresh | 7 | 39 | 46 |
| Picked | 0 | 5 | 5 |
| Done | 2 | 6 | 8 |
| Total | 2 340 | 69 | 2 409 |
| Status | Accuracy | Program |
|---|---|---|
| 79.9% | (fma.f64 (fma.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 (+.f64 y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 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))) | |
| 99.5% | (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (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 (tan.f64 a) x)))) | |
| ✓ | 80.1% | (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) |
| 50.0% | (fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))))) | |
| 79.8% | (fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (tan.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 a)) (-.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 z y))) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)))) x) | |
| 99.7% | (fma.f64 (-.f64 (*.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)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) x) | |
| 39.0% | (fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) | |
| 80.3% | (fma.f64 (neg.f64 (-.f64 (/.f64 (tan.f64 (+.f64 y z)) (pow.f64 (tan.f64 (+.f64 y z)) #s(literal -1 binary64))) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (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))) | |
| 50.1% | (fma.f64 #s(approx (/ x (+ (tan a) x)) #s(literal 1 binary64)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) | |
| 79.8% | (fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 44.1% | (fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 30.9% | (pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| 49.6% | (/.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (tan.f64 (+.f64 y z)))) | |
| ✓ | 80.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 49.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) | |
| 30.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) | |
| 30.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) | |
| ✓ | 31.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| 30.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) | |
| 58.5% | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) | |
| 49.7% | (-.f64 (/.f64 (+.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 57.3% | (-.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)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) | |
| 57.3% | (-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 99.7% | (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (tan.f64 z) (cos.f64 y)) (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))) (-.f64 (tan.f64 a) x)) | |
| 80.3% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 99.4% | (-.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))) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) | |
| 27.7% | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 80.3% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) | |
| ✓ | 80.3% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 49.9% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) | |
| 39.1% | (-.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)) | |
| 39.2% | (-.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)) | |
| 49.6% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) | |
| 49.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)))) | |
| 8.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 39.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) | |
| ✓ | 49.7% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
| 25.8% | (-.f64 (tan.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 49.7% | (-.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (-.f64 z y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 42.3% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 66.6% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) (-.f64 (tan.f64 a) x)) | |
| 42.2% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 60.2% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) | |
| 41.0% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 39.5% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) | |
| 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))))) | |
| 46.5% | (+.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))) #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)))) | |
| 46.6% | (+.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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) | |
| 99.7% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))) | |
| ✓ | 99.7% | (+.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))) |
| 80.4% | (+.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))) | |
| 51.2% | (+.f64 x (-.f64 (/.f64 #s(approx (+ (tan z) (tan y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal 1 binary64)) y (/.f64 (sin.f64 z) (cos.f64 z)))) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 99.7% | (+.f64 x (-.f64 (/.f64 #s(approx (+ (tan z) (tan y)) (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) | |
| 99.7% | (+.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (tan.f64 z) (cos.f64 y)) (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) | |
| 73.0% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| 80.3% | (+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) | |
| ✓ | 80.3% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| ✓ | 80.3% | (+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (tan.f64 a))) |
| ✓ | 75.5% | (+.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))) |
| ✓ | 45.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| ✓ | 45.6% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| 60.8% | (+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) | |
| 80.0% | (*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))))) | |
| 30.9% | (exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) | |
| 80.2% | #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)) |
Compiled 3 396 to 1 482 computations (56.4% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
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(fma.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (tan.f64 a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (tan.f64 a)) (-.f64 (neg.f64 (tan.f64 a)) (tan.f64 (+.f64 z y))) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)))) x) |
(fma.f64 (-.f64 (*.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)) (sin.f64 a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a))) x) |
(-.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))) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (fma.f64 (pow.f64 (/.f64 #s(approx (+ (* (neg (tan z)) (tan y)) 1) (fma.f64 (/.f64 (tan.f64 z) (cos.f64 y)) (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (+.f64 (pow.f64 (tan.f64 y) #s(literal 3 binary64)) (pow.f64 (tan.f64 z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (tan.f64 y) (-.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (tan.f64 z) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (tan.f64 (+.f64 y z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(-.f64 (/.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 x (+.f64 (tan.f64 a) x) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (fma.f64 x (+.f64 (tan.f64 a) x) (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) (/.f64 (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (fma.f64 x (+.f64 (tan.f64 a) x) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))) |
9 calls:
| 66.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 60.0ms | (+.f64 y z) |
| 48.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 44.0ms | z |
| 41.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | a |
| 99.7% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 99.7% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 99.7% | 1 | (tan.f64 (+.f64 y z)) |
| 99.7% | 1 | (+.f64 y z) |
| 99.7% | 1 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) |
(+.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 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(-.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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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)) |
(+.f64 x (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (tan.f64 (+.f64 z y)))) |
(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 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(fma.f64 #s(approx (/ x (+ (tan a) x)) #s(literal 1 binary64)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) 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 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (tan.f64 (+.f64 y z)))) |
#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)))) |
(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))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (*.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(fma.f64 (fma.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 (+.f64 y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (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)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
#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)) |
(+.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))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 y z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z 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))) #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)))) |
(-.f64 (/.f64 (+.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (/.f64 #s(approx (+ (tan z) (tan y)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/3 binary64) #s(literal 1 binary64)) y (/.f64 (sin.f64 z) (cos.f64 z)))) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(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) |
(fma.f64 (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (/.f64 (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) (+.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) x) |
(*.f64 (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 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))) |
9 calls:
| 50.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 50.0ms | (+.f64 y z) |
| 43.0ms | (tan.f64 a) |
| 41.0ms | a |
| 41.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | a |
| 99.7% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 99.7% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 99.7% | 1 | (tan.f64 (+.f64 y z)) |
| 99.7% | 1 | (+.f64 y z) |
| 99.7% | 1 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) |
(+.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 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(-.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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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)) |
(+.f64 x (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (tan.f64 (+.f64 z y)))) |
(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 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(fma.f64 #s(approx (/ x (+ (tan a) x)) #s(literal 1 binary64)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) 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 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (tan.f64 (+.f64 y z)))) |
#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)))) |
(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))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (*.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(fma.f64 (fma.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 (+.f64 y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (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)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
#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)) |
(+.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))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 y z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z 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))) #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)))) |
(-.f64 (/.f64 (+.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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))) |
| 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:
| 109.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 53.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 41.0ms | y |
| 30.0ms | (+.f64 y z) |
| 28.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | a |
| 99.7% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 99.7% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 99.7% | 1 | (tan.f64 (+.f64 y z)) |
| 99.7% | 1 | (+.f64 y z) |
| 99.7% | 1 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) |
(+.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 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(-.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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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)) |
(+.f64 x (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (tan.f64 (+.f64 z y)))) |
(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 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(fma.f64 #s(approx (/ x (+ (tan a) x)) #s(literal 1 binary64)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) 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 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (tan.f64 (+.f64 y z)))) |
#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)))) |
(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))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (*.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(fma.f64 (fma.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 (+.f64 y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (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)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
#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)) |
(+.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))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 y z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z 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))) #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)))) |
(-.f64 (/.f64 (+.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) z)) (tan.f64 (*.f64 (/.f64 (+.f64 y z) (-.f64 z y)) (neg.f64 y)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
| Outputs |
|---|
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(+.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))) #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)))) |
(+.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:
| 102.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 94.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 84.0ms | x |
| 48.0ms | (tan.f64 (+.f64 y z)) |
| 47.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | x |
| 83.2% | 2 | y |
| 80.4% | 1 | z |
| 87.8% | 3 | a |
| 80.4% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 80.4% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 80.4% | 1 | (tan.f64 (+.f64 y z)) |
| 80.4% | 1 | (+.f64 y z) |
| 87.9% | 3 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) |
(+.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 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(-.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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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)) |
(+.f64 x (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (tan.f64 (+.f64 z y)))) |
(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 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(fma.f64 #s(approx (/ x (+ (tan a) x)) #s(literal 1 binary64)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) 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 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (tan.f64 (+.f64 y z)))) |
#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)))) |
(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))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (*.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)))) |
(fma.f64 (fma.f64 (tan.f64 (+.f64 y z)) (neg.f64 (tan.f64 (+.f64 y z))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (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)))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
#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)) |
(+.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))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 y z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z z)))) (tan.f64 a))) |
| Outputs |
|---|
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(+.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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) 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))) |
1 calls:
| 21.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 3 | (tan.f64 a) |
Compiled 2 to 5 computations (-150% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) |
(+.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 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(-.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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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)) |
(+.f64 x (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (tan.f64 (+.f64 z y)))) |
(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 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(fma.f64 #s(approx (/ x (+ (tan a) x)) #s(literal 1 binary64)) x (-.f64 (tan.f64 (+.f64 y z)) (/.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (+.f64 (tan.f64 a) 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 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) #s(literal 2 binary64))) (+.f64 #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x)) (tan.f64 (+.f64 y z)))) |
#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)))) |
(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))) |
(fma.f64 (/.f64 x (+.f64 (tan.f64 a) x)) x (-.f64 (tan.f64 (+.f64 y z)) #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (sin.f64 a) (cos.f64 a))) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(fma.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) #s(approx (pow (tan a) 2) (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))))) x) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (*.f64 (-.f64 y z) (+.f64 y z))) (*.f64 (-.f64 y z) (pow.f64 (-.f64 y z) #s(literal -1 binary64))))) (tan.f64 a))) |
| Outputs |
|---|
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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))) |
2 calls:
| 42.0ms | a |
| 24.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 3 | a |
| 87.6% | 3 | (tan.f64 a) |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) |
(+.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 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(-.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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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)) |
(+.f64 x (fma.f64 (sin.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 a))) (tan.f64 (+.f64 z y)))) |
(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 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (*.f64 (+.f64 y z) (-.f64 z y))))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) 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))) |
4 calls:
| 130.0ms | (tan.f64 a) |
| 17.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 16.0ms | a |
| 16.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 80.4% | 1 | y |
| 80.4% | 1 | a |
| 80.4% | 1 | (tan.f64 a) |
Compiled 11 to 21 computations (-90.9% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (-.f64 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)))) |
(+.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 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(-.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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
9 calls:
| 28.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 15.0ms | x |
| 15.0ms | (tan.f64 (+.f64 y z)) |
| 14.0ms | (+.f64 y z) |
| 14.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 1 | a |
| 80.3% | 1 | x |
| 80.3% | 1 | y |
| 80.3% | 1 | z |
| 80.3% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 80.3% | 1 | (tan.f64 (+.f64 y z)) |
| 80.3% | 1 | (+.f64 y z) |
| 80.3% | 1 | (tan.f64 a) |
| 80.3% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 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)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(+.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(+.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 (+ 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)) |
(fma.f64 #s(approx (- (* x x) (pow (tan (+ z y)) 2)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (-.f64 z y) (/.f64 (+.f64 y z) (-.f64 z y)))) (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 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.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)))))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (/ (pow (tan a) 2) (+ (tan a) x)) (/.f64 (*.f64 a a) x)) (/.f64 (*.f64 x x) (+.f64 (tan.f64 a) x)))) |
| Outputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
9 calls:
| 12.0ms | x |
| 11.0ms | a |
| 10.0ms | y |
| 10.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 10.0ms | (+.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 1 | x |
| 80.3% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 80.3% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 80.3% | 1 | y |
| 80.3% | 1 | (+.f64 y z) |
| 80.3% | 1 | a |
| 80.3% | 1 | (tan.f64 (+.f64 y z)) |
| 80.3% | 1 | z |
| 80.3% | 1 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (-.f64 a x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (/.f64 (*.f64 (neg.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) |
(-.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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (tan a) x))) (neg.f64 x))) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
9 calls:
| 6.0ms | x |
| 6.0ms | y |
| 5.0ms | (+.f64 y z) |
| 5.0ms | z |
| 5.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 1 | x |
| 49.7% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 49.7% | 1 | y |
| 49.7% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 49.7% | 1 | (tan.f64 (+.f64 y z)) |
| 49.7% | 1 | z |
| 49.7% | 1 | a |
| 49.7% | 1 | (+.f64 y z) |
| 49.7% | 1 | (tan.f64 a) |
Compiled 29 to 49 computations (-69% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
9 calls:
| 3.0ms | z |
| 3.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 3.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 3.0ms | (+.f64 y z) |
| 2.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.0% | 1 | a |
| 31.0% | 1 | (tan.f64 a) |
| 31.0% | 1 | x |
| 31.0% | 1 | (tan.f64 (+.f64 y z)) |
| 31.0% | 1 | y |
| 31.0% | 1 | z |
| 31.0% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 31.0% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 31.0% | 1 | (+.f64 y z) |
Compiled 29 to 49 computations (-69% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5232269664962828e-40 | 3.196543540500951e-40 |
| 0.0ms | -0.014534300576434001 | -0.00740857192614181 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5232269664962828e-40 | 3.196543540500951e-40 |
| 0.0ms | -0.014534300576434001 | -0.00740857192614181 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5232269664962828e-40 | 3.196543540500951e-40 |
| 0.0ms | -1.2281702659462028e-12 | -5.072241193301302e-16 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 399 |
| 1 | 171 | 399 |
| 2 | 231 | 399 |
| 3 | 282 | 399 |
| 4 | 338 | 399 |
| 5 | 374 | 399 |
| 6 | 561 | 399 |
| 7 | 998 | 399 |
| 8 | 1268 | 399 |
| 9 | 1330 | 399 |
| 10 | 1412 | 399 |
| 11 | 1509 | 399 |
| 12 | 1685 | 399 |
| 13 | 1848 | 399 |
| 14 | 1997 | 399 |
| 15 | 2094 | 399 |
| 16 | 2129 | 399 |
| 17 | 2135 | 399 |
| 18 | 2135 | 399 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.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 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 -5764607523034235/576460752303423488 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) (+.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))) #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)))) (+.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 -5764607523034235/576460752303423488 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) (+.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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) 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))))) |
(if (<=.f64 (tan.f64 a) #s(literal -4951760157141521/4951760157141521099596496896 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (cos.f64 z)))) (tan.f64 a))) |
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 z) (tan.f64 y)) (cos.f64 z)))) (tan.f64 a)) x) |
(+.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 x (-.f64 (tan.f64 a) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))))) |
(+.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 -5764607523034235/576460752303423488 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) (+.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))) #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)))) (+.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 -5764607523034235/576460752303423488 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 z y) (/.f64 (-.f64 z y) (-.f64 y z))) (/.f64 (+.f64 y z) (-.f64 y z)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) (-.f64 x (-.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)) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 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 -5764607523034235/576460752303423488 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) (+.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))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) 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))))) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/576460752303423488 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 z y) (/.f64 (-.f64 z y) (-.f64 y z))) (/.f64 (+.f64 y z) (-.f64 y z)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 binary64)) (-.f64 x (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 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 -4951760157141521/4951760157141521099596496896 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 y z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (-.f64 z y)))) (/.f64 (+.f64 y z) (-.f64 z y)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 -4951760157141521/4951760157141521099596496896 binary64)) (-.f64 (tan.f64 (*.f64 (/.f64 (-.f64 z y) (/.f64 (-.f64 z y) (-.f64 y z))) (/.f64 (+.f64 y z) (-.f64 y z)))) (-.f64 (tan.f64 a) x)) (if (<=.f64 (tan.f64 a) #s(literal 1225996432692711/6129982163463555433433388108601236734474956488734408704 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 (- (/ (pow (tan a) 2) (+ (tan a) x)) (/ (* x x) (+ (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 (*.f64 y (/.f64 y (-.f64 y z))) (*.f64 z (/.f64 z (-.f64 y z))))) (tan.f64 a))) |
(+.f64 (-.f64 (tan.f64 (-.f64 (*.f64 (/.f64 y (-.f64 y z)) y) (*.f64 (/.f64 z (-.f64 y z)) z))) (tan.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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 335 |
| 0 | 90 | 163 |
| 1 | 421 | 145 |
| 2 | 4045 | 145 |
| 0 | 9055 | 145 |
| 0 | 937 | 22664 |
| 1 | 2937 | 22041 |
| 0 | 8339 | 21691 |
| 0 | 37 | 244 |
| 0 | 69 | 248 |
| 1 | 320 | 149 |
| 2 | 3000 | 149 |
| 0 | 8577 | 149 |
| 0 | 1143 | 22035 |
| 1 | 3620 | 21405 |
| 0 | 8231 | 21068 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 064 to 578 computations (45.7% saved)
Compiled 1 014 to 462 computations (54.4% saved)
Loading profile data...