
Time bar (total: 31.0s)
| 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)
| 12.3s | 4 359× | 1 | valid |
| 5.5s | 3 897× | 0 | valid |
const: 8.9s (51.4% of total)ival-<=: 4.1s (24% of total)ival-tan: 2.0s (11.5% of total)ival-add: 1.7s (10% of total)adjust: 266.0ms (1.5% of total)ival-sub: 116.0ms (0.7% of total)ival-and: 72.0ms (0.4% of total)ival-==: 34.0ms (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 |
|---|---|---|---|---|---|
| 75 | 122 | (1.4010303233746138 -1.0816426037814827e+57 2.480570099714859e-167 1.2874772530895233e-88) | 0 | - | (tan.f64 (+.f64 y z)) |
| 1 | 0 | - | 1 | (9.450627363523791 1.4114950980130367e+45 1.5267150119121261e+259 -6.302235601266734e-211) | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 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 | - | y |
| 0 | 0 | - | 0 | - | (tan.f64 a) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
tan.f64 | (tan.f64 (+.f64 y z)) | sensitivity | 197 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 74 | 0 |
| - | 123 | 59 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 74 | 0 | 0 |
| - | 123 | 0 | 59 |
| number | freq |
|---|---|
| 0 | 59 |
| 1 | 197 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 94.0ms | 270× | 1 | valid |
| 28.0ms | 242× | 0 | valid |
Compiled 100 to 40 computations (60% saved)
ival-tan: 72.0ms (74.3% of total)ival-add: 13.0ms (13.4% of total)adjust: 7.0ms (7.2% of total)ival-sub: 4.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 |
|---|---|---|
| ▶ | 76.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
Compiled 9 to 9 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 0 | (tan.f64 (+.f64 y z)) | |
| cost-diff | 0 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
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 | 0.00390625 | (tan.f64 a) | |
| accuracy | 0.11166000976844201 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) | |
| accuracy | 0.14946360211860224 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) | |
| accuracy | 16.42388975564561 | (tan.f64 (+.f64 y z)) |
| 47.0ms | 135× | 1 | valid |
| 39.0ms | 121× | 0 | valid |
Compiled 60 to 20 computations (66.7% saved)
ival-tan: 59.0ms (82.4% of total)ival-add: 5.0ms (7% of total)ival-sub: 4.0ms (5.6% of total)adjust: 3.0ms (4.2% 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 | |
|---|---|---|---|---|
| 24.0ms | 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)
38 alts after pruning (37 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 37 | 512 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 475 | 38 | 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 3 binary64)))) (fma.f64 (*.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x (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))) |
| ▶ | 76.5% | (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))) |
| 76.8% | (fma.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (pow.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) #s(literal -1 binary64))) x) | |
| 99.6% | (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))) | |
| 76.8% | (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))) | |
| 76.7% | (fma.f64 x (/.f64 x (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (neg.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))))) | |
| 76.5% | (/.f64 (-.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x))) | |
| 76.3% | (/.f64 (+.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) x) #s(literal 3 binary64))))) | |
| ▶ | 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 76.5% | (-.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 3 binary64)) (fma.f64 (tan.f64 a) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))) (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 a) #s(literal 3 binary64)) (fma.f64 (tan.f64 a) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))) (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64))))) | |
| 76.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| ▶ | 76.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 99.6% | (+.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 3 binary64)))) (fma.f64 (*.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 a)))) | |
| 99.7% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) | |
| 99.6% | (+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) | |
| 99.6% | (+.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))))) | |
| 76.8% | (+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) | |
| 99.6% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)) (-.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)))))) | |
| 76.8% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (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))) |
| 32.6% | (+.f64 x (-.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y)))) (tan.f64 a))) | |
| 70.1% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| ✓ | 76.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 41.8% | (+.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)))) | |
| 27.7% | (+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) | |
| 71.0% | (+.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))) | |
| 41.7% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) | |
| 59.5% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 z y) y y))) (tan.f64 a))) | |
| 65.1% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) | |
| 60.1% | (+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) | |
| 55.5% | (+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) | |
| 51.3% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| 42.2% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a))) | |
| 76.6% | (*.f64 (fma.f64 (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) (pow.f64 (fma.f64 (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (*.f64 x x)) #s(literal -1 binary64)))) | |
| 76.8% | #s(approx (+ x (- (tan (+ y z)) (tan a))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) x x)) | |
| 9.3% | #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)))) | |
| 55.4% | #s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
Compiled 1 727 to 1 097 computations (36.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (tan.f64 z) | |
| 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) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (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))) | |
| 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 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 | 35 | 312 |
| 0 | 67 | 295 |
| 1 | 119 | 295 |
| 2 | 254 | 295 |
| 3 | 647 | 295 |
| 4 | 1650 | 295 |
| 5 | 5158 | 295 |
| 0 | 8360 | 294 |
| 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 |
(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 |
(fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(/.f64 (+.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)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)) |
(*.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)) |
x |
(tan.f64 a) |
a |
| Outputs |
|---|
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (-.f64 x (tan.f64 a)) (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) |
x |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) |
(-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
(neg.f64 (tan.f64 z)) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
(-.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 |
(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 |
(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))) |
(fma.f64 (/.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)))) (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 x (tan.f64 a))) |
(/.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)))) |
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 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) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) |
(*.f64 (tan.f64 z) (tan.f64 y)) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
#s(literal 2 binary64) |
(fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) |
(fma.f64 (tan.f64 y) (tan.f64 z) #s(literal 1 binary64)) |
(-.f64 x (tan.f64 a)) |
x |
(tan.f64 a) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10613251953688403 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.1796875 | (*.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.2063345681037124 | (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))) | |
| accuracy | 0.29916000976844204 | (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)) | |
| accuracy | 0.2804136695687546 | (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) | |
| accuracy | 0.3411712890737681 | (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 | 0.3912887695368841 | (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) | |
| accuracy | 16.42388975564561 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.18945203648305867 | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x))) | |
| accuracy | 0.2734375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) | |
| accuracy | 16.42388975564561 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.00390625 | (tan.f64 a) | |
| accuracy | 0.042216230164287515 | (-.f64 (tan.f64 a) x) | |
| accuracy | 0.18945203648305867 | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) | |
| accuracy | 16.42388975564561 | (tan.f64 (+.f64 z y)) | |
| accuracy | 0.08107377930532605 | (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) | |
| accuracy | 0.10613251953688403 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.11166000976844201 | (-.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 | 0.14946360211860224 | (+.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))) |
| 128.0ms | 131× | 1 | valid |
| 42.0ms | 125× | 0 | valid |
Compiled 634 to 75 computations (88.2% saved)
ival-tan: 47.0ms (36% of total)adjust: 19.0ms (14.5% of total)ival-sub: 13.0ms (9.9% of total)ival-mult: 12.0ms (9.2% of total)ival-add: 12.0ms (9.2% of total)ival-div: 10.0ms (7.6% of total)ival-neg: 9.0ms (6.9% of total)ival-pow2: 7.0ms (5.4% 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)) (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 (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 (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 z) (patch (tan.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (tan.f64 a) (patch (tan.f64 a) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (tan.f64 z) (tan.f64 y)) (patch (*.f64 (tan.f64 z) (tan.f64 y)) #<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 (- (/ (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 (* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) (taylor -inf x) (#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 (* (pow x 2) (+ 1 (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) (taylor -inf x) (#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 (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 96.0ms | 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))) (+ (* (- (* 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) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (+ (* (tan z) (tan y)) 1)) (- x (tan a))) (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (tan z) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (pow (* (tan z) (tan y)) 2) (* (tan z) (tan y))) |
| 34.0ms | 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))) (+ (* (- (* 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) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (+ (* (tan z) (tan y)) 1)) (- x (tan a))) (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (tan z) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (pow (* (tan z) (tan y)) 2) (* (tan z) (tan y))) |
| 22.0ms | 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))) (+ (* (- (* 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) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (+ (* (tan z) (tan y)) 1)) (- x (tan a))) (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (tan z) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (pow (* (tan z) (tan y)) 2) (* (tan z) (tan y))) |
| 16.0ms | 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))) (+ (* (- (* 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) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (+ (* (tan z) (tan y)) 1)) (- x (tan a))) (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (tan z) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (pow (* (tan z) (tan y)) 2) (* (tan z) (tan y))) |
| 16.0ms | z | @ | inf | ((+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (tan z)) (tan y)) 1)) (+ (tan z) (tan y)) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (/ 1 (- (tan (+ z y)) (- (tan a) x))) (+ (* (- (* 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) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (+ (* (tan z) (tan y)) 1)) (- x (tan a))) (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (tan z) (+ (* (neg (tan z)) (tan y)) 1) (tan a) (pow (* (tan z) (tan y)) 2) (* (tan z) (tan y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1065 | 21659 |
| 1 | 3494 | 21101 |
| 0 | 8166 | 20728 |
| 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)))))) |
(- (/ (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 (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2)))))) |
(+ x (+ (* -1 a) (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))))) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos 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)))))))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ x (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (/ (sin a) (cos a)) x) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
(/ 1 (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(/ 1 (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(/ 1 (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(/ 1 (- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a)))) |
(- (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))))) |
(- (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))))) |
(- (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))))) |
(- (/ (pow x 2) (- x (/ (sin (+ y z)) (cos (+ y z))))) (+ (/ (sin a) (cos a)) (/ (pow (sin (+ y z)) 2) (* (pow (cos (+ y z)) 2) (- x (/ (sin (+ y z)) (cos (+ y z)))))))) |
(- (+ x (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2)))))) (/ (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) (+ 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))) |
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1 |
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(/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2)) |
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(/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) |
(/ (sin (- y (* -1 z))) (cos (- y (* -1 z)))) |
z |
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(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(- (+ x (/ (sin (- y (* -1 z))) (cos (- y (* -1 z))))) (/ (sin a) (cos a))) |
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z |
(+ y z) |
(+ y z) |
(+ y z) |
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(- (pow x 2) (/ (pow (sin z) 2) (pow (cos z) 2))) |
(- (+ (* -2 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (pow x 2)) (/ (pow (sin z) 2) (pow (cos z) 2))) |
(- (+ (* y (- (* -1 (* y (+ (* 2 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (pow (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) 2)))) (* 2 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z))))) (pow x 2)) (/ (pow (sin z) 2) (pow (cos z) 2))) |
(- (+ (* y (- (* y (- (* -1 (* y (+ (* -2 (/ (* (sin z) (+ 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))))))) (cos z))) (* 2 (/ (* (sin z) (pow (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) 2)) (cos z)))))) (+ (* 2 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (pow (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) 2)))) (* 2 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z))))) (pow x 2)) (/ (pow (sin z) 2) (pow (cos z) 2))) |
(/ (pow (sin z) 2) (pow (cos z) 2)) |
(+ (* 2 (/ (* y (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))))) (cos z))) (/ (pow (sin z) 2) (pow (cos z) 2))) |
(+ (* y (+ (* 2 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z))) (* y (+ (* 2 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (pow (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) 2))))) (/ (pow (sin z) 2) (pow (cos z) 2))) |
(+ (* y (+ (* 2 (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z))) (* y (+ (* 2 (/ (* (pow (sin z) 2) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (pow (cos z) 2))) (+ (* y (+ (* -2 (/ (* (sin z) (+ 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))))))) (cos z))) (* 2 (/ (* (sin z) (pow (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) 2)) (cos z))))) (pow (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2)))) 2)))))) (/ (pow (sin z) 2) (pow (cos z) 2))) |
(- (+ x (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (+ 1 (+ (* y (- (/ (sin z) (cos z)) (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))))) (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (+ 1 (+ (* y (- (+ (* y (- (+ 1/3 (* 1/3 (/ (pow (sin z) 2) (pow (cos z) 2)))) (* -1 (/ (* (pow (sin z) 2) (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (pow (cos z) 2))))) (/ (sin z) (cos z))) (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))))) (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(/ (sin z) (cos z)) |
(+ y (/ (sin z) (cos z))) |
(+ (* y (+ 1 (/ (* y (pow (sin z) 3)) (pow (cos z) 3)))) (/ (sin z) (cos z))) |
(+ (* y (+ 1 (* y (- (* y (- 1/3 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))))))) (/ (sin z) (cos z))) |
1 |
(+ 1 (* -1 (/ (* y (sin z)) (cos z)))) |
(+ 1 (* y (+ (* -1 (/ (sin z) (cos z))) (* -1/3 (/ (* (pow y 2) (sin z)) (cos z)))))) |
(+ 1 (* y (+ (* -1 (/ (sin z) (cos z))) (* (pow y 2) (+ (* -1/3 (/ (sin z) (cos z))) (* -2/15 (/ (* (pow y 2) (sin z)) (cos z)))))))) |
(/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2)) |
(* (pow y 2) (+ (* 2/3 (/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2))) (/ (pow (sin z) 2) (pow (cos z) 2)))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* 17/45 (/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2))) (* 2/3 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (pow (sin z) 2) (pow (cos z) 2)))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* 2/3 (/ (pow (sin z) 2) (pow (cos z) 2))) (* (pow y 2) (+ (* 62/315 (/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2))) (* 17/45 (/ (pow (sin z) 2) (pow (cos z) 2))))))) (/ (pow (sin z) 2) (pow (cos z) 2)))) |
(/ (* y (sin z)) (cos z)) |
(* y (+ (* 1/3 (/ (* (pow y 2) (sin z)) (cos z))) (/ (sin z) (cos z)))) |
(* y (+ (* (pow y 2) (+ (* 2/15 (/ (* (pow y 2) (sin z)) (cos z))) (* 1/3 (/ (sin z) (cos z))))) (/ (sin z) (cos z)))) |
(* y (+ (* (pow y 2) (+ (* 1/3 (/ (sin z) (cos z))) (* (pow y 2) (+ (* 17/315 (/ (* (pow y 2) (sin z)) (cos z))) (* 2/15 (/ (sin z) (cos z))))))) (/ (sin z) (cos z)))) |
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(* 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 (* -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 (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* x (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* x (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* x (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 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 (* 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))) |
(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 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (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 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 (+.f64 x (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 (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 (+ (* 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 (+.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+ (/ (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 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(+ 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 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x) |
(+ 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 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x) |
(* -1 x) |
(neg.f64 x) |
(- a x) |
(-.f64 a x) |
(- (* a (+ 1 (* 1/3 (pow a 2)))) x) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a) x) |
(- (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) x) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a) x) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (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)))) x) |
(+ 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 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) x) |
(/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)) |
(+ (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) |
(+.f64 (/.f64 a (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x))) |
(+ (* 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)))))) |
(fma.f64 (+.f64 (/.f64 a (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x))) |
(+ (* 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x))) |
(- (/ (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))))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) (/.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 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))))) |
(- (+ (* -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))))))) |
(-.f64 (-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) a) (/.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 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))))) |
(- (+ (* 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))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a (-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) (/.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 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))))))) |
(- (+ (* 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))))))) |
(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 x x) (-.f64 x (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) (/.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 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))))))) |
(+ x (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2)))))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64)))))) x) |
(+ x (+ (* -1 a) (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))))) |
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(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))))) |
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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)))))))) |
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(- (+ 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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(- (+ x (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin a) (cos a))) |
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(- (/ (sin a) (cos a)) x) |
(-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) |
(- (/ (sin a) (cos a)) x) |
(-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) |
(- (/ (sin a) (cos a)) x) |
(-.f64 (/.f64 (sin.f64 a) (cos.f64 a)) x) |
(- (/ (sin a) (cos a)) 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 (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2)))))) (/ (sin a) (cos a))) |
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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))) |
(* -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))) |
(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 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64)))))) (/.f64 (neg.f64 (sin.f64 a)) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (- 1 (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 z) #s(literal 2 binary64)))))) (/.f64 (neg.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 | 35 | 201 |
| 0 | 67 | 220 |
| 1 | 329 | 157 |
| 2 | 3117 | 157 |
| 0 | 8528 | 157 |
| 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))) |
(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)) |
(fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(/.f64 (+.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)))) |
(tan.f64 z) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(tan.f64 a) |
(pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)) |
(*.f64 (tan.f64 z) (tan.f64 y)) |
| Outputs |
|---|
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Compiled 88 624 to 5 312 computations (94% saved)
61 alts after pruning (57 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 797 | 45 | 2 842 |
| Fresh | 20 | 12 | 32 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 819 | 61 | 2 880 |
| Status | Accuracy | Program |
|---|---|---|
| 76.5% | (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))) | |
| 93.7% | (fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.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)) (-.f64 x (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 3 binary64)))) (fma.f64 (*.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 99.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 z) #s(literal 2 binary64)) (pow.f64 (tan.f64 y) #s(literal 2 binary64))))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 99.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (tan.f64 z)) (tan.f64 y)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 99.6% | (fma.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 41.2% | (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 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))))) (neg.f64 (tan.f64 a))) | |
| 59.4% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 76.8% | (fma.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (pow.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) #s(literal -1 binary64))) x) | |
| ▶ | 76.6% | (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
| 36.8% | (fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) | |
| 76.8% | (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))) | |
| 59.8% | (fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 z) (cos.f64 z))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 55.2% | (fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 41.8% | (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))) | |
| 76.5% | (/.f64 (-.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x))) | |
| 99.2% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) | |
| 76.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (neg.f64 (tan.f64 a))) (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 y z)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)))) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) | |
| ✓ | 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) | |
| ▶ | 29.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| 56.1% | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) | |
| 36.8% | (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 a) x)) | |
| 99.6% | (-.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)) | |
| 76.8% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) | |
| 76.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 41.3% | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) (-.f64 (tan.f64 a) x)) | |
| 76.5% | (-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) | |
| ✓ | 76.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 41.7% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 41.8% | (-.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)) | |
| 41.8% | (-.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)) | |
| 9.3% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 42.2% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) | |
| 51.3% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 60.1% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) | |
| 55.5% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) | |
| ▶ | 99.7% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) |
| 99.6% | (+.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))))) | |
| 76.8% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))) | |
| 99.6% | (+.f64 x (-.f64 (/.f64 (fma.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| ▶ | 99.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
| 99.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 z) (sin.f64 z)))) (tan.f64 y) #s(literal 1 binary64))) (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))) |
| 54.1% | (+.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)))) | |
| 54.2% | (+.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)))) | |
| 60.3% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 99.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) (*.f64 (tan.f64 y) (tan.f64 z)))))) (tan.f64 a))) | |
| 99.6% | (+.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))) | |
| 99.6% | (+.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))) | |
| 77.3% | (+.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))) | |
| 45.7% | (+.f64 x (-.f64 (/.f64 (+.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z)) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 70.1% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| ✓ | 76.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| ▶ | 41.7% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| 65.1% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) | |
| 51.3% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| 76.7% | #s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x)) |
Compiled 2 393 to 1 786 computations (25.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| cost-diff | 0 | (tan.f64 (+.f64 y z)) | |
| cost-diff | 0 | (+.f64 (tan.f64 (+.f64 y z)) x) | |
| cost-diff | 0 | (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) | |
| cost-diff | 14912 | (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.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 | (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) | |
| cost-diff | 128 | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) | |
| cost-diff | 256 | (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) | |
| cost-diff | 320 | (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 405 |
| 0 | 94 | 409 |
| 1 | 178 | 353 |
| 2 | 394 | 339 |
| 3 | 1240 | 339 |
| 4 | 4436 | 339 |
| 0 | 8162 | 336 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) |
x |
(fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) |
(neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 z) |
z |
(tan.f64 y) |
y |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (tan.f64 z)) |
(neg.f64 (tan.f64 a)) |
(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 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) |
(+.f64 (tan.f64 (+.f64 y z)) x) |
(tan.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
x |
(-.f64 x (tan.f64 (+.f64 y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) |
#s(literal 1 binary64) |
(-.f64 x (tan.f64 (+.f64 z y))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) |
(/.f64 (sin.f64 z) (cos.f64 z)) |
(sin.f64 z) |
(cos.f64 z) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
| Outputs |
|---|
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)))) (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)))) (neg.f64 (tan.f64 a))) |
(neg.f64 (+.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (tan.f64 a))) |
(neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) |
(neg.f64 (+.f64 (tan.f64 y) (tan.f64 z))) |
(+.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) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) |
(fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) |
(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)) |
(neg.f64 (tan.f64 a)) |
(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 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.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 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) |
(*.f64 (-.f64 x (tan.f64 (+.f64 y z))) (+.f64 (tan.f64 (+.f64 y z)) x)) |
(+.f64 (tan.f64 (+.f64 y z)) x) |
(tan.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
x |
(-.f64 x (tan.f64 (+.f64 y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 y z)))) |
#s(literal 1 binary64) |
(-.f64 x (tan.f64 (+.f64 z y))) |
(-.f64 x (tan.f64 (+.f64 y z))) |
(tan.f64 (+.f64 z y)) |
(tan.f64 (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.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 (/.f64 (tan.f64 y) (cos.f64 z)) (sin.f64 z) #s(literal -1 binary64)))) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.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 (/.f64 (tan.f64 y) (cos.f64 z)) (sin.f64 z) #s(literal -1 binary64)))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (fma.f64 (/.f64 (tan.f64 y) (cos.f64 z)) (sin.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 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (/.f64 (tan.f64 y) (cos.f64 z)) (sin.f64 z) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) |
(/.f64 (neg.f64 (sin.f64 z)) (cos.f64 z)) |
(/.f64 (sin.f64 z) (cos.f64 z)) |
(sin.f64 z) |
(cos.f64 z) |
#s(literal 1 binary64) |
(tan.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.10613251953688403 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.11166000976844201 | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) | |
| accuracy | 0.14946360211860224 | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| accuracy | 0.19140625 | (/.f64 (sin.f64 z) (cos.f64 z)) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) | |
| accuracy | 0.3372650390737681 | (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| accuracy | 16.214516830437812 | (tan.f64 (+.f64 z y)) | |
| accuracy | 16.214516830437812 | (tan.f64 (+.f64 y z)) | |
| accuracy | 0.11166000976844201 | (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a)) | |
| accuracy | 0.14946360211860224 | (+.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 | 16.214516830437812 | (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) | |
| accuracy | 30.852485908541773 | (*.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 | 0.2734375 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 44.60033528922537 | #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) | |
| accuracy | 0.10613251953688403 | (+.f64 (tan.f64 z) (tan.f64 y)) | |
| accuracy | 0.14946360211860224 | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) | |
| accuracy | 0.16015625 | (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) |
| 375.0ms | 158× | 1 | valid |
| 57.0ms | 96× | 0 | valid |
| 4.0ms | 2× | 5 | exit |
Compiled 794 to 98 computations (87.7% saved)
ival-mult: 141.0ms (36.1% of total)ival-tan: 128.0ms (32.8% of total)ival-add: 34.0ms (8.7% of total)adjust: 23.0ms (5.9% of total)ival-div: 19.0ms (4.9% of total)ival-sub: 16.0ms (4.1% of total)ival-neg: 12.0ms (3.1% of total)ival-sin: 8.0ms (2% of total)ival-cos: 7.0ms (1.8% 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 (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) (patch (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (patch (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) (patch (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (patch (neg.f64 (+.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 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) (patch (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (patch (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 (+.f64 y z)) x) (patch (+.f64 (tan.f64 (+.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (patch (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.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 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 z) (cos.f64 z)) (patch (/.f64 (sin.f64 z) (cos.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#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 (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) (patch (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) #<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 (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) (patch (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | x | @ | inf | ((+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a))) (neg (+ (* (neg (tan z)) (tan y)) 1)) (+ x (+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a)))) (neg (+ (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)))) (+ (* (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (+ (tan (+ y z)) x) (tan (+ y z)) (+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (+ (tan z) (tan y)) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) (tan (+ z y)) (/ 1 (- x (tan (+ z y)))) (/ (sin z) (cos z))) |
| 11.0ms | a | @ | inf | ((+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a))) (neg (+ (* (neg (tan z)) (tan y)) 1)) (+ x (+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a)))) (neg (+ (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)))) (+ (* (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (+ (tan (+ y z)) x) (tan (+ y z)) (+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (+ (tan z) (tan y)) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) (tan (+ z y)) (/ 1 (- x (tan (+ z y)))) (/ (sin z) (cos z))) |
| 10.0ms | z | @ | 0 | ((+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a))) (neg (+ (* (neg (tan z)) (tan y)) 1)) (+ x (+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a)))) (neg (+ (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)))) (+ (* (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (+ (tan (+ y z)) x) (tan (+ y z)) (+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (+ (tan z) (tan y)) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) (tan (+ z y)) (/ 1 (- x (tan (+ z y)))) (/ (sin z) (cos z))) |
| 9.0ms | y | @ | -inf | ((+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a))) (neg (+ (* (neg (tan z)) (tan y)) 1)) (+ x (+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a)))) (neg (+ (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)))) (+ (* (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (+ (tan (+ y z)) x) (tan (+ y z)) (+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (+ (tan z) (tan y)) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) (tan (+ z y)) (/ 1 (- x (tan (+ z y)))) (/ (sin z) (cos z))) |
| 8.0ms | z | @ | -inf | ((+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a))) (neg (+ (* (neg (tan z)) (tan y)) 1)) (+ x (+ (* (neg (+ (tan z) (tan y))) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1)))) (neg (tan a)))) (neg (+ (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)))) (+ (* (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (/ 1 (- x (tan (+ z y))))) (neg (tan a))) (* (+ (tan (+ y z)) x) (- x (tan (+ y z)))) (+ (tan (+ y z)) x) (tan (+ y z)) (+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a))) (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a)) (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (+ (tan z) (tan y)) (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) (tan (+ z y)) (/ 1 (- x (tan (+ z y)))) (/ (sin z) (cos z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 879 | 22286 |
| 1 | 2742 | 21324 |
| 0 | 8324 | 20973 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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y |
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(/ (sin y) (cos y)) |
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-1 |
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z |
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(* z (+ 1 (* (pow z 2) (+ 1/3 (* 2/15 (pow z 2)))))) |
(* z (+ 1 (* (pow z 2) (+ 1/3 (* (pow z 2) (+ 2/15 (* 17/315 (pow z 2)))))))) |
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(* x (+ 1 (/ (sin (+ y z)) (* x (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))))) |
(/ 1 x) |
(/ (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) x) |
(/ (- (+ 1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))) (* -1 (/ (sin (+ y z)) (* x (cos (+ y z)))))) x) |
(/ (- (+ 1 (/ (pow (sin (+ y z)) 3) (* (pow x 3) (pow (cos (+ y z)) 3)))) (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) 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))) |
(* -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 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin (+ y z)) (* x (cos (+ y z))))))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin (+ y z)) (cos (+ y z))))) (/ (pow (sin (+ y z)) 2) (* x (pow (cos (+ y z)) 2)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin (+ y z)) (cos (+ y z))))) (/ (pow (sin (+ y z)) 2) (* x (pow (cos (+ y z)) 2)))) x)))) |
x |
(* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) |
(* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) |
(* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))))))) (/ (sin a) (cos a))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (+ y z)) 2) (* x (pow (cos (+ y z)) 2))) (* -1 (/ (sin (+ y z)) (cos (+ y z))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin (+ y z)) 3) (* x (pow (cos (+ y z)) 3)))) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) x)) (* -1 (/ (sin (+ y z)) (cos (+ y z))))) x)) 1) x)) |
| Outputs |
|---|
(+ (/ (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 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) |
(+ (* -1 a) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(-.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) a) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (+ (/ (sin y) (* (cos y) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))) (/ (sin z) (* (cos z) (+ 1 (* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))))) |
(+ 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)) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x)) |
(+ (/ 1 (+ x (/ (sin (+ y z)) (cos (+ y z))))) (/ a (pow (+ x (/ (sin (+ y z)) (cos (+ y z)))) 2))) |
(+.f64 (/.f64 a (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x))) |
(+ (* 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)))))) |
(fma.f64 (+.f64 (/.f64 a (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x))) |
(+ (* 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)))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 3 binary64)))) a (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) #s(literal 2 binary64)))) a (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(/ (sin (+ y z)) (cos (+ y z))) |
(/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) |
(+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z)))) |
(-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) a) |
(+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(+ x (+ (/ (sin 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)))))))))) |
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(* 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))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) x) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (cos.f64 y)))) (-.f64 (/.f64 (/.f64 (sin.f64 z) x) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (cos.f64 z))) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 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))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 y) x) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (cos.f64 y)))) (-.f64 (/.f64 (/.f64 (sin.f64 z) x) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)) (cos.f64 z))) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (/ (sin (+ y z)) (* x (cos (+ y z))))) x) |
(/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))) (* -1 (/ (sin (+ y z)) (* x (cos (+ y z)))))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x))) x) |
(/ (- (+ 1 (/ (pow (sin (+ y z)) 3) (* (pow x 3) (pow (cos (+ y z)) 3)))) (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (* -1 (/ (pow (sin (+ y z)) 2) (* (pow x 2) (pow (cos (+ y z)) 2)))))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (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) |
(/.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 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) 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 (fma.f64 (fma.f64 (/.f64 (sin.f64 a) (cos.f64 a)) #s(literal -1 binary64) (/.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))) x) (/.f64 (sin.f64 a) (cos.f64 a))) #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) 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) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #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 (- (* -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))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) (/ (sin (+ y z)) (* x (cos (+ y z))))))) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin (+ y z)) (cos (+ y z))))) (/ (pow (sin (+ y z)) 2) (* x (pow (cos (+ y z)) 2)))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) x)) #s(literal 0 binary64)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ (* -1 (/ (sin (+ y z)) (cos (+ y z)))) (/ (sin (+ y z)) (cos (+ y z))))) (/ (pow (sin (+ y z)) 2) (* x (pow (cos (+ y z)) 2)))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) x)) #s(literal 0 binary64)) x)) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) |
(fma.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) x x) |
(* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) |
(fma.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) x x) |
(* -1 (* x (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1))) |
(fma.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) 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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (sin (+ y z)) (* x (cos (+ y z))))) 1) x)) |
(/.f64 (+.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin (+ y z)) 2) (* x (pow (cos (+ y z)) 2))) (* -1 (/ (sin (+ y z)) (cos (+ y z))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)) x)) (/.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 (/ (pow (sin (+ y z)) 3) (* x (pow (cos (+ y z)) 3)))) (/ (pow (sin (+ y z)) 2) (pow (cos (+ y z)) 2))) x)) (* -1 (/ (sin (+ y z)) (cos (+ y z))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 3 binary64)) x) (neg.f64 (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (sin.f64 (+.f64 z y)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal 2 binary64)))) x) #s(literal -1 binary64) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 290 |
| 0 | 94 | 272 |
| 1 | 450 | 164 |
| 2 | 3780 | 164 |
| 0 | 8270 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a))) |
(neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) |
(neg.f64 (+.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 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) |
(+.f64 (tan.f64 (+.f64 y z)) x) |
(tan.f64 (+.f64 y z)) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.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 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) |
(/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) |
(+.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)))) |
(tan.f64 (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) |
(/.f64 (sin.f64 z) (cos.f64 z)) |
| Outputs |
|---|
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Compiled 71 001 to 4 240 computations (94% saved)
68 alts after pruning (60 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 278 | 14 | 2 292 |
| Fresh | 6 | 46 | 52 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 285 | 68 | 2 353 |
| Status | Accuracy | Program |
|---|---|---|
| 76.5% | (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))) | |
| 93.7% | (fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.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)) (-.f64 x (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 3 binary64)))) (fma.f64 (*.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 99.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 z) #s(literal 2 binary64)) (pow.f64 (tan.f64 y) #s(literal 2 binary64))))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 99.6% | (fma.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 41.2% | (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 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))))) (neg.f64 (tan.f64 a))) | |
| 59.4% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 76.8% | (fma.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (pow.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) #s(literal -1 binary64))) x) | |
| ✓ | 76.6% | (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
| 38.5% | (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) | |
| 36.8% | (fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) | |
| 76.8% | (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))) | |
| 59.8% | (fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 z) (cos.f64 z))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 55.2% | (fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 41.8% | (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))) | |
| 29.5% | (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)) | |
| 76.5% | (/.f64 (-.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x))) | |
| 99.2% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) | |
| 76.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (neg.f64 (tan.f64 a))) (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 y z)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) | |
| ▶ | 56.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)))) |
| 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) | |
| ✓ | 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) | |
| 29.5% | (/.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)))) | |
| 29.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) | |
| ✓ | 29.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| 29.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) | |
| 56.1% | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) | |
| 36.8% | (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 a) x)) | |
| 99.6% | (-.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)) | |
| 76.8% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) | |
| 76.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 41.3% | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) (-.f64 (tan.f64 a) x)) | |
| 76.5% | (-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) | |
| ✓ | 76.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 41.7% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 41.8% | (-.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)) | |
| 41.8% | (-.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)) | |
| 9.3% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 42.2% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) | |
| ▶ | 51.3% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
| 55.5% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) | |
| ▶ | 99.7% | (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) |
| ▶ | 99.7% | (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
| 99.6% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (pow.f64 (cos.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (tan.f64 a)))) | |
| 99.6% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 z) (*.f64 (pow.f64 (cos.f64 z) #s(literal -1 binary64)) (tan.f64 y)) #s(literal -1 binary64))) (neg.f64 (tan.f64 a)))) | |
| 99.6% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 1 binary64))) (neg.f64 (tan.f64 a)))) | |
| 77.3% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) #s(approx (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) | |
| 99.6% | (+.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))))) | |
| 76.8% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))) | |
| 99.6% | (+.f64 x (-.f64 (/.f64 (fma.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| ✓ | 99.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
| 99.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 z) (sin.f64 z)))) (tan.f64 y) #s(literal 1 binary64))) (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))) |
| 54.1% | (+.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)))) | |
| 54.2% | (+.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)))) | |
| 60.3% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (/ (sin z) (cos z)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 99.6% | (+.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))) | |
| 99.6% | (+.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))) | |
| 45.7% | (+.f64 x (-.f64 (/.f64 (+.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z)) (tan.f64 y)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| ▶ | 70.1% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
| ✓ | 76.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| ✓ | 41.7% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| 65.1% | (+.f64 x (-.f64 (tan.f64 #s(approx (+ y z) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) | |
| 51.3% | (+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) | |
| 76.6% | #s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.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)) | |
| 99.5% | #s(approx (+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a))) (+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))) |
Compiled 2 582 to 1 950 computations (24.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) | |
| cost-diff | 128 | (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)))) | |
| cost-diff | 12800 | (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) | |
| cost-diff | 0 | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) | |
| cost-diff | 0 | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) | |
| cost-diff | 0 | #s(approx (- (tan a) x) (neg.f64 x)) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (tan.f64 (+.f64 z y)) | |
| cost-diff | 0 | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) | |
| cost-diff | 128 | (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) | |
| cost-diff | 128 | (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) | |
| cost-diff | 6272 | (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 403 |
| 0 | 88 | 379 |
| 1 | 165 | 369 |
| 2 | 413 | 365 |
| 3 | 1353 | 364 |
| 4 | 3799 | 364 |
| 5 | 6737 | 364 |
| 0 | 8420 | 356 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) |
x |
(fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a))) |
(/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(tan.f64 y) |
y |
(tan.f64 z) |
z |
(+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) |
(neg.f64 (tan.f64 z)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
(pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (- (tan a) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
x |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) |
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(tan.f64 a) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.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 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) |
(tan.f64 (+.f64 y z)) |
(+.f64 y z) |
y |
z |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (tan.f64 a) x) |
(tan.f64 a) |
a |
x |
(+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
x |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) |
(tan.f64 y) |
y |
(tan.f64 z) |
z |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
| Outputs |
|---|
(+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) |
(fma.f64 (fma.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 1 binary64)) (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 3 binary64)))) (-.f64 x (tan.f64 a))) |
x |
(fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 1 binary64)) (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 3 binary64)))) (neg.f64 (tan.f64 a))) |
(/.f64 (+.f64 (tan.f64 y) (tan.f64 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 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 3 binary64)))) |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(tan.f64 y) |
y |
(tan.f64 z) |
z |
(+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) |
(neg.f64 (tan.f64 z)) |
#s(literal 3 binary64) |
#s(literal 1 binary64) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) |
(fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) |
(*.f64 (tan.f64 y) (tan.f64 z)) |
(*.f64 (tan.f64 z) (tan.f64 y)) |
(pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (- (tan a) x) (neg.f64 x)) |
(neg.f64 x) |
x |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
x |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) |
(-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) |
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(tan.f64 (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
(+.f64 z y) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
(tan.f64 a) |
a |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) x))) |
(-.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 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) x)) |
(pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fabs.f64 (tan.f64 (+.f64 z y))) |
(pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) |
(pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64)) |
(tan.f64 (+.f64 y z)) |
(tan.f64 (+.f64 z y)) |
(+.f64 y z) |
(+.f64 z y) |
y |
z |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
(-.f64 (tan.f64 a) x) |
(tan.f64 a) |
a |
x |
(+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(-.f64 (-.f64 x (tan.f64 a)) (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) |
x |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) |
(-.f64 (neg.f64 (tan.f64 a)) (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) |
(fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)) |
(tan.f64 y) |
y |
(tan.f64 z) |
z |
(+.f64 (tan.f64 y) (tan.f64 z)) |
(+.f64 (tan.f64 z) (tan.f64 y)) |
(neg.f64 (tan.f64 a)) |
(tan.f64 a) |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) | |
| accuracy | 0.10613251953688403 | (+.f64 (tan.f64 y) (tan.f64 z)) | |
| accuracy | 0.14946360211860224 | (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) | |
| accuracy | 0.16015625 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) | |
| accuracy | 0.265625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)))) | |
| accuracy | 0.3873825195368841 | (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) | |
| accuracy | 3.1719703624245015 | (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) | |
| accuracy | 16.214516830437812 | (tan.f64 (+.f64 y z)) | |
| accuracy | 0.11166000976844201 | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) | |
| accuracy | 0.14946360211860224 | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) | |
| accuracy | 16.214516830437812 | (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.18945203648305867 | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) | |
| accuracy | 16.214516830437812 | (tan.f64 (+.f64 z y)) | |
| accuracy | 22.987213911752708 | #s(approx (- (tan a) x) (neg.f64 x)) | |
| accuracy | 0.1796875 | (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) | |
| accuracy | 0.18654252930532605 | (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a))) | |
| accuracy | 0.29525375976844204 | (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) | |
| accuracy | 0.2956238281475361 | (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) |
| 207.0ms | 158× | 1 | valid |
| 125.0ms | 96× | 0 | valid |
| 33.0ms | 2× | 5 | exit |
Compiled 802 to 97 computations (87.9% saved)
ival-div: 102.0ms (35.2% of total)ival-tan: 92.0ms (31.7% of total)adjust: 26.0ms (9% of total)ival-add: 24.0ms (8.3% of total)ival-pow2: 10.0ms (3.4% of total)ival-mult: 10.0ms (3.4% of total)ival-sub: 8.0ms (2.8% of total)ival-pow: 7.0ms (2.4% of total)ival-sqrt: 5.0ms (1.7% of total)ival-neg: 5.0ms (1.7% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (patch (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) (patch (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (patch (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (patch (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 z y)) (patch (tan.f64 (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) (patch (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) #<representation binary64>) () ()) |
#s(alt (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (patch (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (patch (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) (patch (-.f64 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) (patch (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) (patch (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a))) (patch (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) (patch (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (tan.f64 (+.f64 y z)) (patch (tan.f64 (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) (patch (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (tan.f64 y) (tan.f64 z)) (patch (+.f64 (tan.f64 y) (tan.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3))))))) (taylor 0 a) (#s(alt (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) (patch (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) (taylor 0 a) (#s(alt (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) (patch (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) (taylor 0 a) (#s(alt (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) (patch (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) (taylor 0 a) (#s(alt (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) (patch (+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (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 (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) (patch (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 a) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- a x) (taylor 0 a) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (+ 1 (* 1/3 (pow a 2)))) x) (taylor 0 a) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) x) (taylor 0 a) (#s(alt #s(approx (- (tan a) x) (neg.f64 x)) (patch #s(approx (- (tan a) x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (sin (+ y z)) (cos (+ y z)))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) (taylor 0 a) (#s(alt (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) (patch (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | a | @ | inf | ((+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2)) (+ x (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a)))) (+ (pow (* (neg (tan z)) (tan y)) 3) 1) (+ 1 (* (tan y) (tan z))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (pow (pow (tan (+ y z)) 2) 1/2) (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x))) (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)) (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a))) (+ x (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a)))) (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (* (tan y) (tan z)) -1) (pow (* (neg (tan z)) (tan y)) 3) (pow (* (tan y) (tan z)) 2) (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a))) (* (neg (tan z)) (tan y)) (neg x) (tan (+ y z)) (pow (tan (+ y z)) 2) (+ (tan y) (tan z))) |
| 26.0ms | x | @ | -inf | ((+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2)) (+ x (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a)))) (+ (pow (* (neg (tan z)) (tan y)) 3) 1) (+ 1 (* (tan y) (tan z))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (pow (pow (tan (+ y z)) 2) 1/2) (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x))) (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)) (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a))) (+ x (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a)))) (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (* (tan y) (tan z)) -1) (pow (* (neg (tan z)) (tan y)) 3) (pow (* (tan y) (tan z)) 2) (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a))) (* (neg (tan z)) (tan y)) (neg x) (tan (+ y z)) (pow (tan (+ y z)) 2) (+ (tan y) (tan z))) |
| 24.0ms | z | @ | -inf | ((+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2)) (+ x (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a)))) (+ (pow (* (neg (tan z)) (tan y)) 3) 1) (+ 1 (* (tan y) (tan z))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (pow (pow (tan (+ y z)) 2) 1/2) (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x))) (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)) (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a))) (+ x (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a)))) (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (* (tan y) (tan z)) -1) (pow (* (neg (tan z)) (tan y)) 3) (pow (* (tan y) (tan z)) 2) (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a))) (* (neg (tan z)) (tan y)) (neg x) (tan (+ y z)) (pow (tan (+ y z)) 2) (+ (tan y) (tan z))) |
| 22.0ms | a | @ | -inf | ((+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2)) (+ x (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a)))) (+ (pow (* (neg (tan z)) (tan y)) 3) 1) (+ 1 (* (tan y) (tan z))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (pow (pow (tan (+ y z)) 2) 1/2) (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x))) (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)) (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a))) (+ x (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a)))) (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (* (tan y) (tan z)) -1) (pow (* (neg (tan z)) (tan y)) 3) (pow (* (tan y) (tan z)) 2) (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a))) (* (neg (tan z)) (tan y)) (neg x) (tan (+ y z)) (pow (tan (+ y z)) 2) (+ (tan y) (tan z))) |
| 14.0ms | y | @ | inf | ((+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2)) (+ x (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a)))) (+ (pow (* (neg (tan z)) (tan y)) 3) 1) (+ 1 (* (tan y) (tan z))) (- (tan (+ z y)) (- (tan a) x)) (tan (+ z y)) (+ z y) (- (tan a) x) (/ 1 (/ 1 (+ z y))) (+ x (- (tan (/ 1 (/ 1 (+ z y)))) (tan a))) (- (tan (/ 1 (/ 1 (+ z y)))) (tan a)) (tan (/ 1 (/ 1 (+ z y)))) (pow (pow (tan (+ y z)) 2) 1/2) (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x))) (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)) (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a))) (+ x (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a)))) (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (* (tan y) (tan z)) -1) (pow (* (neg (tan z)) (tan y)) 3) (pow (* (tan y) (tan z)) 2) (+ (* (/ (+ (tan y) (tan z)) (+ (pow (* (neg (tan z)) (tan y)) 3) 1)) (+ (+ 1 (* (tan y) (tan z))) (pow (* (tan y) (tan z)) 2))) (neg (tan a))) (* (neg (tan z)) (tan y)) (neg x) (tan (+ y z)) (pow (tan (+ y z)) 2) (+ (tan y) (tan z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 862 | 23493 |
| 1 | 2828 | 23013 |
| 0 | 8398 | 22327 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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1 |
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1 |
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1 |
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(/ (sin y) (cos y)) |
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y |
(+ y z) |
(+ y z) |
(+ y z) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
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(/ (sin y) (cos y)) |
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(/ (sin y) (cos y)) |
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(- (+ 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)))))))) (/ (* (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 (/ (pow (sin y) 2) (pow (cos y) 2)))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ (* z (+ 1 (+ (/ (* z (* (sin y) (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)) (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ (* z (+ 1 (+ (* z (+ (* z (+ 1/3 (+ (* 1/3 (/ (pow (sin y) 2) (pow (cos y) 2))) (/ (* (pow (sin y) 2) (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2)))) (pow (cos y) 2))))) (/ (* (sin y) (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2)))) (cos y)))) (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2)))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (+ 1 (+ (/ (* z (* (sin y) (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (cos y)) (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* z (+ 1 (+ (* z (+ (* z (+ 1/3 (+ (* 1/3 (/ (pow (sin y) 2) (pow (cos y) 2))) (/ (* (pow (sin y) 2) (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2)))) (pow (cos y) 2))))) (/ (* (sin y) (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2)))) (cos y)))) (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y)))) (/ (sin a) (cos a))) |
1 |
(+ 1 (/ (* z (sin y)) (cos y))) |
(+ 1 (* z (- (/ (* z (pow (sin y) 2)) (pow (cos y) 2)) (* -1 (/ (sin y) (cos y)))))) |
(+ 1 (* z (- (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 3) (pow (cos y) 3))) (* -1/3 (/ (sin y) (cos y)))))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 2))))) (* -1 (/ (sin y) (cos y)))))) |
-1 |
(- (/ (* z (sin y)) (cos y)) 1) |
(- (* z (+ (* 1/3 (/ (* (pow z 2) (sin y)) (cos y))) (/ (sin y) (cos y)))) 1) |
(- (* z (+ (* (pow z 2) (+ (* 2/15 (/ (* (pow z 2) (sin y)) (cos y))) (* 1/3 (/ (sin y) (cos y))))) (/ (sin y) (cos y)))) 1) |
(* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 3))) |
(* (pow z 3) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 3)) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 3) (pow (cos y) 3))))) |
(* (pow z 3) (+ (* -1 (/ (pow (sin y) 3) (pow (cos y) 3))) (* (pow z 2) (+ (* -1 (/ (pow (sin y) 3) (pow (cos y) 3))) (* -11/15 (/ (* (pow z 2) (pow (sin y) 3)) (pow (cos y) 3))))))) |
(* (pow z 3) (+ (* -1 (/ (pow (sin y) 3) (pow (cos y) 3))) (* (pow z 2) (+ (* -1 (/ (pow (sin y) 3) (pow (cos y) 3))) (* (pow z 2) (+ (* -11/15 (/ (pow (sin y) 3) (pow (cos y) 3))) (* -88/189 (/ (* (pow z 2) (pow (sin y) 3)) (pow (cos y) 3))))))))) |
(/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2)) |
(* (pow z 2) (+ (* 2/3 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2))) (/ (pow (sin y) 2) (pow (cos y) 2)))) |
(* (pow z 2) (+ (* (pow z 2) (+ (* 17/45 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2))) (* 2/3 (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (pow (cos y) 2)))) |
(* (pow z 2) (+ (* (pow z 2) (+ (* 2/3 (/ (pow (sin y) 2) (pow (cos y) 2))) (* (pow z 2) (+ (* 62/315 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 2))) (* 17/45 (/ (pow (sin y) 2) (pow (cos y) 2))))))) (/ (pow (sin y) 2) (pow (cos y) 2)))) |
(- (/ (sin y) (cos y)) (/ (sin a) (cos a))) |
(- (+ (* z (+ 1 (/ (pow (sin y) 2) (pow (cos y) 2)))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ (* z (+ 1 (+ (* z (+ (/ (sin y) (cos y)) (/ (pow (sin y) 3) (pow (cos y) 3)))) (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(- (+ (* z (+ 1 (+ (* z (+ (* z (- (+ 1/3 (+ (* 1/3 (/ (pow (sin y) 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 4) (pow (cos y) 4))))) (+ (/ (sin y) (cos y)) (/ (pow (sin y) 3) (pow (cos y) 3))))) (/ (pow (sin y) 2) (pow (cos y) 2))))) (/ (sin y) (cos y))) (/ (sin a) (cos a))) |
(* -1 (/ (* z (sin y)) (cos y))) |
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(/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))) |
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(/ (pow (sin (- y (* -1 z))) 2) (pow (cos (- y (* -1 z))) 2)) |
(/ (pow (sin (- y (* -1 z))) 2) (pow (cos (- y (* -1 z))) 2)) |
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1 |
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1 |
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1 |
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z |
(+ y z) |
(+ y z) |
(+ y z) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
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(/ (sin z) (cos z)) |
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(- (+ 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)))))))) (/ (* (sin z) (- 1 (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
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(- (+ (* y (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
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(- (+ (* y (+ 1 (+ (* y (+ (* y (+ 1/3 (+ (* 1/3 (/ (pow (sin z) 2) (pow (cos z) 2))) (/ (* (pow (sin z) 2) (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (pow (cos z) 2))))) (/ (* (sin z) (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (cos z)))) (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (+ 1 (+ (/ (* y (* (sin z) (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (cos z)) (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
(- (+ x (+ (* y (+ 1 (+ (* y (+ (* y (+ 1/3 (+ (* 1/3 (/ (pow (sin z) 2) (pow (cos z) 2))) (/ (* (pow (sin z) 2) (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (pow (cos z) 2))))) (/ (* (sin z) (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (cos z)))) (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z)))) (/ (sin a) (cos a))) |
1 |
(+ 1 (/ (* y (sin z)) (cos z))) |
(+ 1 (* y (- (/ (* y (pow (sin z) 2)) (pow (cos z) 2)) (* -1 (/ (sin z) (cos z)))))) |
(+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))) (* -1/3 (/ (sin z) (cos z)))))) (* -1 (/ (pow (sin z) 2) (pow (cos z) 2))))) (* -1 (/ (sin z) (cos z)))))) |
-1 |
(- (/ (* y (sin z)) (cos z)) 1) |
(- (* y (+ (* 1/3 (/ (* (pow y 2) (sin z)) (cos z))) (/ (sin z) (cos z)))) 1) |
(- (* y (+ (* (pow y 2) (+ (* 2/15 (/ (* (pow y 2) (sin z)) (cos z))) (* 1/3 (/ (sin z) (cos z))))) (/ (sin z) (cos z)))) 1) |
(* -1 (/ (* (pow y 3) (pow (sin z) 3)) (pow (cos z) 3))) |
(* (pow y 3) (+ (* -1 (/ (* (pow y 2) (pow (sin z) 3)) (pow (cos z) 3))) (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))))) |
(* (pow y 3) (+ (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))) (* (pow y 2) (+ (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))) (* -11/15 (/ (* (pow y 2) (pow (sin z) 3)) (pow (cos z) 3))))))) |
(* (pow y 3) (+ (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))) (* (pow y 2) (+ (* -1 (/ (pow (sin z) 3) (pow (cos z) 3))) (* (pow y 2) (+ (* -11/15 (/ (pow (sin z) 3) (pow (cos z) 3))) (* -88/189 (/ (* (pow y 2) (pow (sin z) 3)) (pow (cos z) 3))))))))) |
(/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2)) |
(* (pow y 2) (+ (* 2/3 (/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2))) (/ (pow (sin z) 2) (pow (cos z) 2)))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* 17/45 (/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2))) (* 2/3 (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (pow (sin z) 2) (pow (cos z) 2)))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* 2/3 (/ (pow (sin z) 2) (pow (cos z) 2))) (* (pow y 2) (+ (* 62/315 (/ (* (pow y 2) (pow (sin z) 2)) (pow (cos z) 2))) (* 17/45 (/ (pow (sin z) 2) (pow (cos z) 2))))))) (/ (pow (sin z) 2) (pow (cos z) 2)))) |
(- (/ (sin z) (cos z)) (/ (sin a) (cos a))) |
(- (+ (* y (+ 1 (/ (pow (sin z) 2) (pow (cos z) 2)))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ (* y (+ 1 (+ (* y (+ (/ (sin z) (cos z)) (/ (pow (sin z) 3) (pow (cos z) 3)))) (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(- (+ (* y (+ 1 (+ (* y (+ (* y (- (+ 1/3 (+ (* 1/3 (/ (pow (sin z) 2) (pow (cos z) 2))) (/ (pow (sin z) 2) (pow (cos z) 2)))) (* -1 (/ (pow (sin z) 4) (pow (cos z) 4))))) (+ (/ (sin z) (cos z)) (/ (pow (sin z) 3) (pow (cos z) 3))))) (/ (pow (sin z) 2) (pow (cos z) 2))))) (/ (sin z) (cos z))) (/ (sin a) (cos a))) |
(* -1 (/ (* y (sin z)) (cos z))) |
(* y (+ (* -1 (/ (sin z) (cos z))) (* -1/3 (/ (* (pow y 2) (sin z)) (cos z))))) |
(* y (+ (* -1 (/ (sin z) (cos z))) (* (pow y 2) (+ (* -1/3 (/ (sin z) (cos z))) (* -2/15 (/ (* (pow y 2) (sin z)) (cos z))))))) |
(* y (+ (* -1 (/ (sin z) (cos z))) (* (pow y 2) (+ (* -1/3 (/ (sin z) (cos z))) (* (pow y 2) (+ (* -2/15 (/ (sin z) (cos z))) (* -17/315 (/ (* (pow y 2) (sin z)) (cos z))))))))) |
(/ (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))) |
(/ (pow (sin z) 2) (pow (cos z) 2)) |
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(- (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))) (/ (sin a) (cos a))) |
(* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) |
(* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) |
(* -1 (/ (* (sin y) (sin z)) (* (cos y) (cos z)))) |
(* -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)) (/ (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))) |
(- (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))) (/ (sin a) (cos a))) |
(- (+ x (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3))))))) (/ (sin a) (cos a))) |
(- (+ x (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3))))))) (/ (sin a) (cos a))) |
(- (+ x (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3))))))) (/ (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))) |
(- (/ (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 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))) (/ (sin a) (cos a))) |
(- (+ x (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1)))) (/ (sin a) (cos a))) |
(- (+ x (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1)))) (/ (sin a) (cos a))) |
(- (+ x (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1)))) (/ (sin a) (cos a))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (- (+ 1 (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* x (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* x (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (* x (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) (/ (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))))) |
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 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (* x (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (* x (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))))) (/ (sin a) (* x (cos a))))) |
(* x (- (+ 1 (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (* x (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))))) (/ (sin a) (* x (cos a))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))) (/ (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))) |
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 (- (* -1 (/ (- (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))) (/ (sin a) (cos a))) x)) 1))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(+ x (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3))))))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64))) x) |
(+ x (+ (* -1 a) (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64))) (fma.f64 a #s(literal -1 binary64) x)) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (* (+ 1 (+ (/ (* (sin y) (sin z)) (* (cos y) (cos z))) (/ (* (pow (sin y) 2) (pow (sin z) 2)) (* (pow (cos y) 2) (pow (cos z) 2))))) (+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))) (+ 1 (* -1 (/ (* (pow (sin y) 3) (pow (sin z) 3)) (* (pow (cos y) 3) (pow (cos z) 3)))))))) |
(fma.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (pow.f64 (sin.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 z) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) #s(literal 1 binary64))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
(+ x (+ (* a (- (* -1/3 (pow a 2)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/3 binary64) #s(literal -1 binary64)) a x)) |
(+ x (+ (* a (- (* (pow a 2) (- (* -2/15 (pow a 2)) 1/3)) 1)) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -2/15 binary64) (*.f64 a a) #s(literal -1/3 binary64)) (*.f64 a a) #s(literal -1 binary64)) a x)) |
(* -1 x) |
(neg.f64 x) |
(- a x) |
(-.f64 a x) |
(- (* a (+ 1 (* 1/3 (pow a 2)))) x) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a) x) |
(- (* a (+ 1 (* (pow a 2) (+ 1/3 (* 2/15 (pow a 2)))))) x) |
(-.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a) x) |
(+ x (/ (sin (+ y z)) (cos (+ y z)))) |
(+.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) x) |
(+ x (+ (* -1 a) (/ (sin (+ y z)) (cos (+ y z))))) |
(+.f64 (-.f64 x a) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y)))) |
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (/ (sin (+ y z)) (cos (+ y z))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ 1 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 (- (* -1 (/ (- (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal -1 binary64))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal -1 binary64))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (+ (/ (sin y) (cos y)) (/ (sin z) (cos z))) (- (/ (* (sin y) (sin z)) (* (cos y) (cos z))) 1))) (/ (sin a) (cos a))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y)))) (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal -1 binary64))) (/.f64 (sin.f64 a) (cos.f64 a))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 310 |
| 0 | 88 | 424 |
| 1 | 436 | 422 |
| 2 | 3829 | 196 |
| 0 | 8641 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) |
(+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) |
(+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
(tan.f64 (+.f64 z y)) |
(+.f64 z y) |
#s(approx (- (tan a) x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a)) |
(tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (-.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 (pow.f64 (pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (tan.f64 a) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) |
(+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) |
(fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a))) |
(*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) |
(neg.f64 x) |
(tan.f64 (+.f64 y z)) |
(pow.f64 (tan.f64 (+.f64 y z)) #s(literal 2 binary64)) |
(+.f64 (tan.f64 y) (tan.f64 z)) |
| Outputs |
|---|
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Compiled 102 709 to 7 105 computations (93.1% saved)
77 alts after pruning (66 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 139 | 29 | 3 168 |
| Fresh | 18 | 37 | 55 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 3 159 | 77 | 3 236 |
| Status | Accuracy | Program |
|---|---|---|
| 63.8% | (fma.f64 (fma.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 1 binary64)) (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 3 binary64)))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 76.5% | (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))) | |
| 93.7% | (fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.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)) (-.f64 x (tan.f64 a))) | |
| 99.6% | (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 z) #s(literal 2 binary64)) (pow.f64 (tan.f64 y) #s(literal 2 binary64))))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 99.6% | (fma.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 59.4% | (fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) | |
| 76.8% | (fma.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (pow.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) #s(literal -1 binary64))) x) | |
| ✓ | 76.6% | (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
| 38.5% | (fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) | |
| 36.8% | (fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) | |
| 51.3% | (fma.f64 (sin.f64 (+.f64 z y)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) | |
| 59.8% | (fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 z) (cos.f64 z))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 55.2% | (fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) | |
| 41.8% | (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))) | |
| 29.5% | (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)) | |
| 76.6% | (/.f64 (-.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) x)) | |
| 99.2% | (/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) | |
| 76.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (neg.f64 (tan.f64 a))) (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 y z)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) | |
| 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) (-.f64 (tan.f64 a) x)))) | |
| ✓ | 76.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)))) |
| 42.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))))) | |
| 51.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))))) | |
| 56.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) x)))) | |
| 29.5% | (/.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)))) | |
| 29.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))) | |
| ✓ | 29.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (/.f64 #s(literal 1 binary64) x))) |
| 29.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) | |
| 23.9% | (-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 63.8% | (-.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 (- (tan a) x) (neg.f64 x))) | |
| 63.8% | (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 99.6% | (-.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)) | |
| 63.7% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 51.3% | (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 63.8% | (-.f64 (+.f64 (/.f64 (tan.f64 y) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) (/.f64 (neg.f64 (tan.f64 z)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 76.8% | (-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) | |
| 19.4% | (-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 41.3% | (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))) (-.f64 (tan.f64 a) x)) | |
| 47.5% | (-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 76.5% | (-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) | |
| ✓ | 76.8% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
| 41.7% | (-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) | |
| 41.8% | (-.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)) | |
| 41.8% | (-.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)) | |
| 51.3% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) | |
| 9.3% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) | |
| 42.2% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a x))) | |
| ✓ | 51.3% | (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
| 15.6% | (-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 40.3% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 43.3% | (-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 y z) z z))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 39.1% | (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 40.9% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| 39.3% | (-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) #s(approx (- (tan a) x) (neg.f64 x))) | |
| ✓ | 99.7% | (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
| 59.5% | (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 (tan.f64 z) (tan.f64 y))) (sqrt.f64 (*.f64 (tan.f64 z) (tan.f64 y))) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) | |
| 99.6% | (+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) | |
| 99.6% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (pow.f64 (cos.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (tan.f64 a)))) | |
| 99.6% | (+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 z) (*.f64 (pow.f64 (cos.f64 z) #s(literal -1 binary64)) (tan.f64 y)) #s(literal -1 binary64))) (neg.f64 (tan.f64 a)))) | |
| 77.3% | (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) | |
| 76.8% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a))))) | |
| ✓ | 99.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
| 99.6% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 z) (sin.f64 z)))) (tan.f64 y) #s(literal 1 binary64))) (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))) |
| 54.1% | (+.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)))) | |
| 54.2% | (+.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)))) | |
| 60.3% | (+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (/ (sin z) (cos z)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) | |
| 99.6% | (+.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))) | |
| 99.6% | (+.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))) | |
| ✓ | 70.1% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
| 21.2% | (+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 z y)))))) (tan.f64 a))) | |
| ✓ | 76.9% | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| ✓ | 41.7% | (+.f64 x (-.f64 (tan.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) (tan.f64 a))) |
| 21.2% | (+.f64 x (-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) (tan.f64 a))) | |
| 65.1% | (+.f64 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) | |
| 56.1% | (+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (tan.f64 a))) | |
| 76.6% | #s(approx (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (*.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)) | |
| 99.3% | #s(approx (+ x (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a)))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (*.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal -1 binary64)) x))) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a))) x)) |
Compiled 3 984 to 1 681 computations (57.8% 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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ 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 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 (-.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)) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) #s(approx (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (sin.f64 (+.f64 z y)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 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))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (exp.f64 (log.f64 (+.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 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 z y)))))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y)))) (tan.f64 a))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) 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)) (fma.f64 (neg.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (/ (sin z) (cos z)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #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 (- (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)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x)) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.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)) |
#s(approx (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (*.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)) |
(+.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)))) |
(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 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))))) (neg.f64 (tan.f64 a))) |
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 z) (cos.f64 z))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (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))) |
(+.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)) |
(+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 1 binary64))) (neg.f64 (tan.f64 a)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) x)) |
(fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (-.f64 x (tan.f64 a))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)))) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (neg.f64 (tan.f64 a))) (-.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 y z)) x) #s(literal 2 binary64)) (pow.f64 (tan.f64 a) #s(literal 2 binary64))))) |
(-.f64 (+.f64 (/.f64 (tan.f64 y) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) (/.f64 (neg.f64 (tan.f64 z)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 z) (sin.f64 z)))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(fma.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (pow.f64 (+.f64 (tan.f64 a) (tan.f64 (+.f64 z y))) #s(literal -1 binary64))) x) |
(+.f64 x (-.f64 (/.f64 (fma.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal -1 binary64)) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 z) (*.f64 (pow.f64 (cos.f64 z) #s(literal -1 binary64)) (tan.f64 y)) #s(literal -1 binary64))) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (tan.f64 y) (sin.f64 z)) (pow.f64 (cos.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (tan.f64 a)))) |
(+.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))) |
(fma.f64 x (/.f64 x (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))) (neg.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 2 binary64)) (-.f64 x (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)))))) |
(+.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (*.f64 (tan.f64 z) (tan.f64 y))) (sqrt.f64 (*.f64 (tan.f64 z) (tan.f64 y))) #s(literal -1 binary64))) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 2 binary64)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(+.f64 x (/.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))))) |
(fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (tan.f64 z) #s(literal 2 binary64)) (pow.f64 (tan.f64 y) #s(literal 2 binary64))))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (tan.f64 y) (tan.f64 z)) (tan.f64 z)) (tan.f64 y)))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(fma.f64 (fma.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 1 binary64)) (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 3 binary64)))) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(+.f64 x (/.f64 (fma.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (cos.f64 a) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 a)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (cos.f64 a)) (-.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)))))) |
(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 3 binary64)))) (fma.f64 (*.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 z) (tan.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (tan.f64 a)))) |
(/.f64 (-.f64 (*.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (tan.f64 a) x)) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64)) (+.f64 (tan.f64 a) x))) |
#s(approx (+ x (+ (* (/ -1 (+ (* (tan y) (tan z)) -1)) (+ (tan y) (tan z))) (neg (tan a)))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (/.f64 (sin.f64 y) (cos.f64 y))) (*.f64 (fma.f64 (/.f64 (sin.f64 z) (cos.f64 y)) (/.f64 (sin.f64 y) (cos.f64 z)) #s(literal -1 binary64)) x))) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a))) x)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (tan.f64 y) (tan.f64 z) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(+.f64 x (fma.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (+.f64 (pow.f64 (*.f64 (neg.f64 (tan.f64 z)) (tan.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z))) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64))) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (tan.f64 y) (tan.f64 z)) #s(literal 2 binary64)) (*.f64 (tan.f64 y) (tan.f64 z)))))) (tan.f64 a))) |
(*.f64 (fma.f64 (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (*.f64 x x)) (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) (pow.f64 (fma.f64 (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (*.f64 x x)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 (tan.f64 z)) (tan.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)) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 3 binary64)) (fma.f64 (tan.f64 a) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))) (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (tan.f64 a) #s(literal 3 binary64)) (fma.f64 (tan.f64 a) (+.f64 (tan.f64 (+.f64 z y)) (+.f64 x (tan.f64 a))) (pow.f64 (+.f64 (tan.f64 (+.f64 z y)) x) #s(literal 2 binary64))))) |
#s(approx (+ x (- (/ (+ (tan z) (tan y)) (+ (* (neg (/ (sin z) (cos z))) (tan y)) 1)) (tan a))) (+.f64 (+.f64 (/.f64 (/.f64 (sin.f64 z) (cos.f64 z)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64))) (/.f64 (/.f64 (sin.f64 y) (cos.f64 y)) (fma.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 z) (*.f64 (cos.f64 z) (cos.f64 y))) #s(literal 1 binary64)))) (-.f64 x (/.f64 (sin.f64 a) (cos.f64 a))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (tan.f64 (+.f64 z y)) (+.f64 (tan.f64 a) x)) (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 (tan.f64 (+.f64 z y)) (tan.f64 a)) x) #s(literal 3 binary64))))) |
| 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:
| 68.0ms | z |
| 45.0ms | y |
| 37.0ms | x |
| 35.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 34.0ms | (tan.f64 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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ 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 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 (-.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)) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) #s(approx (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (sin.f64 (+.f64 z y)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 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))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (exp.f64 (log.f64 (+.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 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 z y)))))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y)))) (tan.f64 a))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) 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)) (fma.f64 (neg.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (/ (sin z) (cos z)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #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 (- (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)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x)) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.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)) |
#s(approx (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (*.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)) |
(+.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)))) |
(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 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))))) (neg.f64 (tan.f64 a))) |
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 z) (cos.f64 z))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (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))) |
| 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:
| 40.0ms | (tan.f64 (+.f64 y z)) |
| 27.0ms | (tan.f64 a) |
| 27.0ms | y |
| 25.0ms | z |
| 25.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | z |
| 99.6% | 1 | a |
| 99.6% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 99.6% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 99.6% | 1 | (tan.f64 (+.f64 y z)) |
| 99.6% | 1 | (+.f64 y z) |
| 99.6% | 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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ 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 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 (-.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)) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) #s(approx (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (sin.f64 (+.f64 z y)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 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))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (exp.f64 (log.f64 (+.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 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 z y)))))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y)))) (tan.f64 a))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) 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)) (fma.f64 (neg.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (/ (sin z) (cos z)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #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 (- (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)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x)) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.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)) |
#s(approx (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (*.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)) |
(+.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)))) |
(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 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y z) (-.f64 z y))))))) (neg.f64 (tan.f64 a))) |
(+.f64 x (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 a))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (tan.f64 a))))) |
(fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 y) (cos.f64 y))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
(fma.f64 #s(approx (/ (+ (tan z) (tan y)) (- 1 (pow (* (tan z) (tan y)) 2))) (/.f64 (sin.f64 z) (cos.f64 z))) (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal 1 binary64)) (-.f64 x (tan.f64 a))) |
| Outputs |
|---|
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (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 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
9 calls:
| 33.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 26.0ms | (+.f64 y z) |
| 24.0ms | x |
| 24.0ms | (tan.f64 (+.f64 y z)) |
| 23.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | x |
| 83.3% | 3 | y |
| 79.9% | 2 | z |
| 89.5% | 3 | a |
| 77.3% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 77.3% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 79.3% | 2 | (tan.f64 (+.f64 y z)) |
| 79.5% | 2 | (+.f64 y z) |
| 89.5% | 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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ 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 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 (-.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)) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) #s(approx (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (sin.f64 (+.f64 z y)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 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))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (exp.f64 (log.f64 (+.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 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 z y)))))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y)))) (tan.f64 a))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) 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)) (fma.f64 (neg.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (/ (sin z) (cos z)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #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 (- (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)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (tan.f64 (*.f64 (/.f64 (*.f64 (-.f64 y z) (+.f64 z y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (tan.f64 a))) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (*.f64 (cos.f64 (+.f64 z y)) x)) (/.f64 (/.f64 (sin.f64 a) x) (cos.f64 a)))) x)) |
#s(approx (/ 1 (/ 1 (- (tan (+ z y)) (- (tan a) x)))) (*.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)) |
#s(approx (/ 1 (/ 1 (- (pow (pow (tan (+ y z)) 2) 1/2) (- (tan a) x)))) (*.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)) |
| Outputs |
|---|
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (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)))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
2 calls:
| 106.0ms | a |
| 22.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | a |
| 89.4% | 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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ 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 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 (-.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)) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) #s(approx (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (sin.f64 (+.f64 z y)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 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))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (exp.f64 (log.f64 (+.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 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (+.f64 (/.f64 (sin.f64 y) (cos.f64 y)) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
#s(approx (+ x (- (tan (+ y z)) (tan a))) (-.f64 (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(+.f64 x (-.f64 (tan.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (+.f64 z y)))))) (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.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 x (-.f64 (tan.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 z y) z (*.f64 y y)))) (tan.f64 a))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 (tan.f64 (+.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)) (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tan.f64 a) x) (-.f64 (pow.f64 (tan.f64 a) #s(literal 2 binary64)) (*.f64 x x))))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (tan.f64 (+.f64 z y)))) (neg.f64 (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) 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)) (fma.f64 (neg.f64 #s(approx (tan z) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (fma.f64 (neg.f64 #s(approx (/ (sin z) (cos z)) (*.f64 (fma.f64 (*.f64 z z) #s(literal 1/3 binary64) #s(literal 1 binary64)) z))) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
| Outputs |
|---|
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
2 calls:
| 19.0ms | (tan.f64 a) |
| 18.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 3 | a |
| 89.1% | 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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ 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 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 (-.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)) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (fma.f64 (neg.f64 (+.f64 (tan.f64 z) (tan.f64 y))) #s(approx (/ 1 (neg (+ (* (neg (tan z)) (tan y)) 1))) #s(literal -1 binary64)) (neg.f64 (tan.f64 a)))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 y) (cos.f64 y))) (tan.f64 a))) |
(+.f64 x (-.f64 #s(approx (tan (+ y z)) (/.f64 (sin.f64 z) (cos.f64 z))) (tan.f64 a))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 y) (cos.f64 y))) (-.f64 (tan.f64 a) x)) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) (-.f64 (tan.f64 a) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (sin.f64 a) (cos.f64 a)))) |
(fma.f64 (sin.f64 (+.f64 z y)) (pow.f64 (cos.f64 (+.f64 z y)) #s(literal -1 binary64)) (neg.f64 #s(approx (- (tan a) x) (neg.f64 x)))) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) #s(approx (+ (* (neg (tan z)) (tan y)) 1) #s(literal 1 binary64))) (tan.f64 a))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) #s(literal 2 binary64)) (-.f64 (tan.f64 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))) |
(fma.f64 (neg.f64 (sin.f64 (+.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 z y)))) (-.f64 x (tan.f64 a))) |
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)) |
(fma.f64 (sqrt.f64 (tan.f64 (+.f64 y z))) (sqrt.f64 (tan.f64 (+.f64 y z))) (-.f64 x (tan.f64 a))) |
(fma.f64 (*.f64 (+.f64 (tan.f64 (+.f64 y z)) x) (-.f64 x (tan.f64 (+.f64 y z)))) #s(approx (/ 1 (- x (tan (+ z y)))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (tan.f64 a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 y z)) (sin.f64 (+.f64 y z)))) (-.f64 (tan.f64 a) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) (-.f64 (tan.f64 a) x)))) |
(+.f64 x (-.f64 (tan.f64 (exp.f64 (log.f64 (+.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 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
6 calls:
| 54.0ms | z |
| 30.0ms | (tan.f64 a) |
| 15.0ms | a |
| 15.0ms | (tan.f64 (+.f64 y z)) |
| 15.0ms | (+.f64 y z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 1 | (tan.f64 (+.f64 y z)) |
| 77.3% | 1 | (+.f64 y z) |
| 77.3% | 1 | z |
| 77.3% | 1 | y |
| 77.3% | 1 | a |
| 77.3% | 1 | (tan.f64 a) |
Compiled 12 to 28 computations (-133.3% 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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 (tan.f64 a) x)) |
(-.f64 (+.f64 (tan.f64 (+.f64 z y)) x) (tan.f64 a)) |
(+.f64 x (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 #s(approx (tan (+ z y)) (/.f64 (sin.f64 z) (cos.f64 z))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (- (tan (+ z y)) (- (tan a) x))) (exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))) |
(-.f64 (pow.f64 (sqrt.f64 (tan.f64 (+.f64 z y))) #s(literal 2 binary64)) #s(approx (- (tan a) x) (neg.f64 x))) |
(+.f64 x #s(approx (- (tan (+ y z)) (tan a)) (/.f64 (sin.f64 (+.f64 z y)) (cos.f64 (+.f64 z y))))) |
(+.f64 x #s(approx (- (tan (+ 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 x (-.f64 (tan.f64 #s(approx (/ 1 (/ 1 (+ z y))) (fma.f64 (/.f64 y z) z z))) (tan.f64 a))) |
(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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) (tan.f64 a))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.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 (/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (+.f64 z y)) (sin.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 (tan.f64 (+.f64 z y))) (-.f64 (tan.f64 a) 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 #s(literal 1 binary64) (/.f64 (-.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)) |
(-.f64 (tan.f64 (exp.f64 (log.f64 (+.f64 z y)))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(approx (- (tan a) x) (neg.f64 x))) |
| Outputs |
|---|
(+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
9 calls:
| 41.0ms | (tan.f64 (+.f64 y z)) |
| 40.0ms | a |
| 11.0ms | (+.f64 y z) |
| 11.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 11.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.9% | 1 | (tan.f64 (+.f64 y z)) |
| 76.9% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 76.9% | 1 | x |
| 76.9% | 1 | y |
| 76.9% | 1 | a |
| 76.9% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 76.9% | 1 | (tan.f64 a) |
| 76.9% | 1 | z |
| 76.9% | 1 | (+.f64 y z) |
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 (- (tan a) x) (-.f64 a x))) |
(-.f64 (fabs.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))) (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 (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 #s(approx (+ z y) (fma.f64 (/.f64 z y) y y))) #s(approx (- (tan a) x) (neg.f64 x))) |
(-.f64 (tan.f64 (+.f64 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)))) |
(-.f64 (tan.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z y)))) #s(approx (- (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (-.f64 a 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 z y)) (-.f64 #s(approx (tan a) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 a a) #s(literal 2/15 binary64)) (*.f64 a a) #s(literal 1/3 binary64)) (*.f64 a a) #s(literal 1 binary64)) a)) x)) |
| Outputs |
|---|
(-.f64 (tan.f64 (+.f64 z y)) #s(approx (- (tan a) x) (neg.f64 x))) |
9 calls:
| 39.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 5.0ms | (tan.f64 (+.f64 y z)) |
| 5.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 5.0ms | (+.f64 y z) |
| 4.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.3% | 1 | y |
| 51.3% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 51.3% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 51.3% | 1 | (tan.f64 (+.f64 y z)) |
| 51.3% | 1 | x |
| 51.3% | 1 | z |
| 51.3% | 1 | (tan.f64 a) |
| 51.3% | 1 | a |
| 51.3% | 1 | (+.f64 y z) |
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:
| 1.0ms | a |
| 1.0ms | (tan.f64 (+.f64 y z)) |
| 1.0ms | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 1.0ms | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 1.0ms | (tan.f64 a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.6% | 1 | (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a)) |
| 29.6% | 1 | y |
| 29.6% | 1 | a |
| 29.6% | 1 | z |
| 29.6% | 1 | (+.f64 y z) |
| 29.6% | 1 | (tan.f64 a) |
| 29.6% | 1 | x |
| 29.6% | 1 | (+.f64 x (-.f64 (tan.f64 (+.f64 y z)) (tan.f64 a))) |
| 29.6% | 1 | (tan.f64 (+.f64 y z)) |
Compiled 29 to 49 computations (-69% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0016650492781670981 | 0.007879311575894747 |
| 0.0ms | -0.04748106968652986 | -8.694727741064285e-16 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0016650492781670981 | 0.007879311575894747 |
| 0.0ms | -0.04748106968652986 | -8.694727741064285e-16 |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00858698719691296 | 0.014358961262104378 |
| 0.0ms | -8.694727741064285e-16 | -1.912354843417096e-16 |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 338 |
| 1 | 120 | 338 |
| 2 | 156 | 338 |
| 3 | 181 | 338 |
| 4 | 193 | 338 |
| 5 | 195 | 338 |
| 1× | saturated |
| 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 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 -5764607523034235/144115188075855872 binary64)) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) (if (<=.f64 (tan.f64 a) #s(literal 1152921504606847/576460752303423488 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 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))))) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) (if (<=.f64 (tan.f64 a) #s(literal 1152921504606847/576460752303423488 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 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))))) |
(if (<=.f64 (tan.f64 a) #s(literal -2535301200456459/5070602400912917605986812821504 binary64)) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) (if (<=.f64 (tan.f64 a) #s(literal 5764607523034235/576460752303423488 binary64)) (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (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)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a))) |
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) (tan.f64 a)) x) |
(+.f64 x (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a))) |
(+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 y) (tan.f64 z)))) (tan.f64 a)) x) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) (if (<=.f64 (tan.f64 a) #s(literal 1152921504606847/576460752303423488 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 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))))) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) x) (if (<=.f64 (tan.f64 a) #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (tan a) (*.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 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) x))) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) (if (<=.f64 (tan.f64 a) #s(literal 1152921504606847/576460752303423488 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 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))))) |
(if (<=.f64 (tan.f64 a) #s(literal -5764607523034235/144115188075855872 binary64)) (+.f64 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) x) (if (<=.f64 (tan.f64 a) #s(literal 1152921504606847/576460752303423488 binary64)) (+.f64 (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (fma.f64 (neg.f64 (tan.f64 z)) (tan.f64 y) #s(literal 1 binary64))) #s(approx (tan a) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 a a) #s(literal 1 binary64)) a))) x) (+.f64 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) x))) |
(if (<=.f64 (tan.f64 a) #s(literal -2535301200456459/5070602400912917605986812821504 binary64)) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) (if (<=.f64 (tan.f64 a) #s(literal 5764607523034235/576460752303423488 binary64)) (-.f64 (/.f64 (+.f64 (tan.f64 z) (tan.f64 y)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) (+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))))) |
(if (<=.f64 (tan.f64 a) #s(literal -2535301200456459/5070602400912917605986812821504 binary64)) (+.f64 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) x) (if (<=.f64 (tan.f64 a) #s(literal 5764607523034235/576460752303423488 binary64)) (-.f64 (/.f64 (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (fma.f64 (tan.f64 z) (tan.f64 y) #s(literal -1 binary64)))) #s(approx (- (tan a) x) (neg.f64 x))) (+.f64 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a))) x))) |
(+.f64 x (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (tan.f64 a)))) |
(+.f64 (fma.f64 #s(approx (/ -1 (+ (* (tan y) (tan z)) -1)) #s(literal 1 binary64)) (+.f64 (tan.f64 y) (tan.f64 z)) (neg.f64 (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 | 1065 | 21659 |
| 1 | 3494 | 21101 |
| 0 | 8166 | 20728 |
| 0 | 9 | 25 |
| 0 | 14 | 25 |
| 1 | 70 | 25 |
| 2 | 599 | 25 |
| 3 | 7878 | 25 |
| 0 | 8007 | 25 |
| 0 | 35 | 201 |
| 0 | 67 | 220 |
| 1 | 329 | 157 |
| 2 | 3117 | 157 |
| 0 | 8528 | 157 |
| 0 | 49 | 310 |
| 0 | 88 | 424 |
| 1 | 436 | 422 |
| 2 | 3829 | 196 |
| 0 | 8641 | 193 |
| 0 | 51 | 290 |
| 0 | 94 | 272 |
| 1 | 450 | 164 |
| 2 | 3780 | 164 |
| 0 | 8270 | 162 |
| 0 | 862 | 23493 |
| 1 | 2828 | 23013 |
| 0 | 8398 | 22327 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 758 to 432 computations (43% saved)
(sort y z)
Compiled 738 to 318 computations (56.9% saved)
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