
Time bar (total: 8.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 996.0ms | 8 252× | 0 | valid |
| 2.0ms | 2× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-cos: 274.0ms (40.1% of total)ival-sin: 233.0ms (34.1% of total)ival-add: 69.0ms (10.1% of total)ival-mult: 57.0ms (8.3% of total)ival-sub: 39.0ms (5.7% of total)ival-true: 7.0ms (1% of total)ival-assert: 4.0ms (0.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 50.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 12.0ms (35.9% of total)ival-sin: 12.0ms (35.9% of total)ival-mult: 4.0ms (12% of total)ival-add: 3.0ms (9% of total)ival-sub: 2.0ms (6% of total)ival-true: 1.0ms (3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 101 | 84 |
| 2 | 248 | 83 |
| 3 | 583 | 83 |
| 4 | 1151 | 83 |
| 5 | 1530 | 83 |
| 6 | 1814 | 83 |
| 7 | 2069 | 83 |
| 8 | 2092 | 83 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 42 | 9 |
| 3 | 66 | 9 |
| 4 | 97 | 9 |
| 5 | 151 | 9 |
| 6 | 264 | 9 |
| 7 | 398 | 9 |
| 8 | 480 | 9 |
| 9 | 528 | 9 |
| 10 | 558 | 9 |
| 0 | 558 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 22 | 24 |
| 2 | 42 | 24 |
| 3 | 66 | 24 |
| 4 | 97 | 24 |
| 5 | 151 | 24 |
| 6 | 264 | 24 |
| 7 | 398 | 24 |
| 8 | 480 | 24 |
| 9 | 528 | 24 |
| 10 | 558 | 24 |
| 0 | 558 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 (cos.f64 y) x)) |
(+.f64 x (cos.f64 y)) |
(+.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0078125 | (+.f64 x (cos.f64 y)) | |
| accuracy | 0.09765625 | (*.f64 z (sin.f64 y)) |
| 47.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 28.0ms (73.1% of total)ival-sin: 6.0ms (15.7% of total)ival-mult: 2.0ms (5.2% of total)ival-sub: 1.0ms (2.6% of total)ival-add: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) (taylor inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1 (* y z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* -1/2 y) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) (taylor 0 y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) (taylor 0 y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor -inf y) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (cos y) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (cos.f64 y)) (patch (+.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 770 | 605 |
| 3 | 2083 | 601 |
| 4 | 4366 | 601 |
| 5 | 6335 | 601 |
| 0 | 8451 | 579 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1 (* y z)))) |
(-.f64 x (fma.f64 z y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) x) #s(literal 1 binary64)) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y (+.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z) (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 47 | 19 |
| 2 | 388 | 19 |
| 3 | 5630 | 19 |
| 0 | 8225 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(+.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 6 790 to 635 computations (90.6% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 11 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 269 | 11 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 76.8% | (fma.f64 (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 65.0% | (/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) | |
| ▶ | 87.8% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ▶ | 62.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 64.9% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64))) | |
| 48.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 48.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
| 58.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ▶ | 68.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 33.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
Compiled 268 to 218 computations (18.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (+.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 128 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 146 |
| 0 | 39 | 146 |
| 1 | 64 | 146 |
| 2 | 107 | 146 |
| 3 | 197 | 146 |
| 4 | 311 | 146 |
| 5 | 499 | 146 |
| 6 | 865 | 146 |
| 7 | 1403 | 146 |
| 8 | 1965 | 146 |
| 9 | 2188 | 146 |
| 10 | 2244 | 146 |
| 11 | 2244 | 146 |
| 0 | 2244 | 144 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
(+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
x |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z #s(approx (+ x (cos y)) (cos.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.09765625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 29.083210092372028 | #s(approx (+ x (cos y)) (cos.f64 y)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (+.f64 (cos.f64 y) x) | |
| accuracy | 20.128893978968613 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 32.7132161031901 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 27.773213593820543 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0078125 | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.0078125 | (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) | |
| accuracy | 0.09765625 | (*.f64 z (sin.f64 y)) | |
| accuracy | 32.46407885091395 | #s(approx (cos y) #s(literal 1 binary64)) |
| 48.0ms | 256× | 0 | valid |
Compiled 117 to 18 computations (84.6% saved)
ival-cos: 6.0ms (24.3% of total)ival-sin: 6.0ms (24.3% of total)ival-mult: 5.0ms (20.2% of total)ival-add: 4.0ms (16.2% of total)ival-sub: 2.0ms (8.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.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 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) (patch (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (* -1/2 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) (taylor inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (patch (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (patch (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (cos.f64 y) x) (patch (+.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (cos y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (cos y)) (cos.f64 y)) (patch #s(approx (+ x (cos y)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y))) |
| 1.0ms | y | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y))) |
| 1.0ms | z | @ | 0 | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y))) |
| 1.0ms | z | @ | -inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y))) |
| 1.0ms | z | @ | inf | ((- (+ x (cos y)) (* z (sin y))) (+ x (cos y)) (cos y) (* z (sin y)) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (- (* -1/2 y) z) (* -1/2 y) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (- (+ x (cos y)) (* z (sin y))) (+ x (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 166 | 2810 |
| 1 | 476 | 2745 |
| 2 | 1322 | 2733 |
| 3 | 3928 | 2657 |
| 0 | 8426 | 2539 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1/2 y) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ (* -1 z) (* -1/2 y)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* z (- (* -1/2 (/ y z)) 1)) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 z) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (+ 1 (* 1/2 (/ y z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(* -1 z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(- (* -1/2 y) z) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(* (pow y 2) (- (+ (* -1 (/ z y)) (+ (/ 1 (pow y 2)) (/ x (pow y 2)))) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 y) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* y (- (* -1 (/ z y)) 1/2)) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 y) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1 (* y (+ 1/2 (/ z y)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(+ (* -1 z) (* -1/2 y)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)) |
(* z (+ (* -1 y) (+ (* -1/2 (/ (pow y 2) z)) (+ (/ 1 z) (/ x z))))) |
(fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(* z (- (* -1/2 (/ y z)) 1)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* z (+ y (* -1 (/ (+ 1 (+ x (* -1/2 (pow y 2)))) z))))) |
(neg.f64 (fma.f64 z y (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y (-.f64 #s(literal -1 binary64) x)))) |
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(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
1 |
#s(literal 1 binary64) |
(+ 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 (* y (- (* -1/2 y) z))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y #s(literal 1 binary64)) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(-.f64 x (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64))) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(- (cos y) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(- (+ x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(cos y) |
(cos.f64 y) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
(* x (+ 1 (/ (cos y) x))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(-.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y z) y #s(literal -1 binary64)) #s(literal 1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(+.f64 (cos.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 118 |
| 0 | 39 | 118 |
| 1 | 161 | 118 |
| 2 | 1432 | 118 |
| 0 | 8258 | 118 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(+.f64 x #s(approx (cos y) #s(literal 1 binary64))) |
#s(approx (cos y) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(+.f64 (cos.f64 y) x) |
(cos.f64 y) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (+ x (cos y)) (cos.f64 y)) |
| Outputs |
|---|
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Compiled 15 477 to 1 531 computations (90.1% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 797 | 14 | 811 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 801 | 21 | 822 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.8% | (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
| ✓ | 62.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 52.8% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 99.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
| 48.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) | |
| ▶ | 24.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
| 48.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) | |
| 58.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 68.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| ▶ | 37.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ▶ | 38.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| ✓ | 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 35.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) | |
| 33.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 48.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) | |
| 3.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) | |
| 31.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| ▶ | 19.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 516 to 415 computations (19.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| cost-diff | 128 | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 192 | (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) | |
| cost-diff | 704 | (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) | |
| cost-diff | 384 | (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 439 |
| 0 | 82 | 439 |
| 1 | 157 | 439 |
| 2 | 332 | 436 |
| 3 | 1104 | 436 |
| 4 | 3721 | 424 |
| 5 | 6340 | 424 |
| 0 | 8272 | 420 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) |
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) y z) |
#s(literal -1/2 binary64) |
y |
z |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 #s(literal 1 binary64) (cos.f64 y) x))) |
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 #s(literal 1 binary64) (cos.f64 y) x)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) (+.f64 #s(literal 1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) (+.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1/2 binary64) y z) |
#s(literal -1/2 binary64) |
y |
z |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y)) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
(*.f64 (neg.f64 z) z) |
(neg.f64 z) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.941383544132265 | (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) | |
| accuracy | 5.0727299580227605 | (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) | |
| accuracy | 27.75974267196281 | (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) | |
| accuracy | 32.7132161031901 | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| accuracy | 0.05859375 | (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 0.0703125 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 20.128893978968613 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 35.48783079341729 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.06478500976844201 | (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.08984375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 20.128893978968613 | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| accuracy | 35.50158111956384 | #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 27.773213593820543 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) | |
| accuracy | 29.042417922783592 | #s(approx (+ 1 x) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) | |
| accuracy | 0.015625 | (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) | |
| accuracy | 0.1015625 | (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) | |
| accuracy | 0.10546875 | (/.f64 (cos.f64 y) z) |
| 118.0ms | 256× | 0 | valid |
Compiled 312 to 47 computations (84.9% saved)
ival-mult: 24.0ms (33.6% of total)ival-add: 13.0ms (18.2% of total)ival-cos: 10.0ms (14% of total)const: 8.0ms (11.2% of total)ival-sin: 7.0ms (9.8% of total)ival-sub: 5.0ms (7% of total)ival-div: 3.0ms (4.2% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1 x) #s(literal 1 binary64)) (patch #s(approx (+ 1 x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) (patch (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) (patch (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (patch (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x x) #s(literal 1 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (patch (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) (patch (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (cos y) (* -1 (* z (sin y)))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (patch (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (cos y) z) (taylor 0 z) (#s(alt (/.f64 (cos.f64 y) z) (patch (/.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (cos y) (* -1 (* z (sin y))))) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 5.0ms | y | @ | inf | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 5.0ms | x | @ | -inf | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 5.0ms | y | @ | 0 | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 3.0ms | y | @ | -inf | ((+ (* (- (/ (cos y) z) (sin y)) z) x) (- (+ x (cos y)) (* z (sin y))) (- (/ (cos y) z) (sin y)) (/ (cos y) z) (- (+ x (cos y)) (* z (sin y))) (+ 1 x) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* 1/24 (* y y)) -1/2) (* y y)) 1) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (* y y)) 1) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (- (* x x) 1) (- (+ x (cos y)) (* z (sin y))) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (+ (* (+ (* -1/720 (* y y)) 1/24) (* y y)) -1/2) (+ (* 1/4 (* y y)) (* (neg z) z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 6721 |
| 1 | 1547 | 6518 |
| 2 | 5296 | 6436 |
| 0 | 8255 | 6073 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ (cos y) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- (+ 2 (* 2 (/ (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y)))) y))) (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) |
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (pow x 2) 1)))) |
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (+ (* -1 (* y (* z (- x 1)))) (pow x 2)) 1)))) |
(+ (* -1/2 (* y (- (pow x 2) 1))) (+ (* 1/4 (* (pow y 3) (- x 1))) (* z (- (+ (* -1 (* y (* z (- x 1)))) (pow x 2)) 1)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* 1/4 (pow y 2)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (* y z)) |
(* z (- (+ (* -1 y) (/ (pow x 2) (* z (- x 1)))) (+ (* 1/2 (/ (pow y 2) z)) (/ 1 (* z (- x 1)))))) |
(* z (- (+ (* -1 y) (+ (* -1/2 (/ (* y (- (pow x 2) 1)) (* (pow z 2) (- x 1)))) (+ (* 1/4 (/ (pow y 3) (pow z 2))) (/ (pow x 2) (* z (- x 1)))))) (+ (* -1/2 (/ (* y (- (/ (pow x 2) (- x 1)) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1))))) (pow z 2))) (+ (* 1/2 (/ (pow y 2) z)) (/ 1 (* z (- x 1))))))) |
(* z (- (+ (* -1 y) (+ (* -1/2 (/ (* y (- (pow x 2) 1)) (* (pow z 2) (- x 1)))) (+ (* 1/4 (/ (pow y 3) (pow z 2))) (+ (* 1/2 (/ (* y (- (+ (* -1/2 (/ (* y (- (pow x 2) 1)) (- x 1))) (* 1/4 (pow y 3))) (* -1/2 (* y (- (/ (pow x 2) (- x 1)) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1)))))))) (pow z 3))) (/ (pow x 2) (* z (- x 1))))))) (+ (* -1/2 (/ (* y (- (/ (pow x 2) (- x 1)) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1))))) (pow z 2))) (+ (* 1/2 (/ (pow y 2) z)) (/ 1 (* z (- x 1))))))) |
(* -1 (* y (* (pow z 2) (- x 1)))) |
(* (pow z 2) (- (+ (* -1 (* y (- x 1))) (/ (pow x 2) z)) (/ 1 z))) |
(* (pow z 2) (- (+ (* -1 (* y (- x 1))) (+ (* -1/2 (/ (* y (- (pow x 2) 1)) (pow z 2))) (+ (* 1/4 (/ (* (pow y 3) (- x 1)) (pow z 2))) (/ (pow x 2) z)))) (/ 1 z))) |
(* (pow z 2) (- (+ (* -1 (* y (- x 1))) (+ (* -1/2 (/ (* y (- (pow x 2) 1)) (pow z 2))) (+ (* 1/4 (/ (* (pow y 3) (- x 1)) (pow z 2))) (/ (pow x 2) z)))) (/ 1 z))) |
(* -1 (* z (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* z (- (+ (/ x z) (/ (cos y) z)) (sin y))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (+ x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ (- (/ (pow x 2) (- x 1)) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (- x 1))) (* 1/2 (* y (- (/ (pow x 2) (- x 1)) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1))))))) z)) (/ (pow x 2) (- x 1))) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1)))) z))))) |
(* -1 (* z (+ y (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (- x 1))) (* 1/2 (/ (* y (- (* -1 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (- x 1))) (* 1/2 (* y (- (/ (pow x 2) (- x 1)) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1)))))))) z))) (* 1/2 (* y (- (/ (pow x 2) (- x 1)) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1))))))) z)) (/ (pow x 2) (- x 1))) (+ (* 1/2 (pow y 2)) (/ 1 (- x 1)))) z))))) |
(* -1 (* y (* (pow z 2) (- x 1)))) |
(* (pow z 2) (- (+ (* -1 (* y (- x 1))) (/ (pow x 2) z)) (/ 1 z))) |
(* (pow z 2) (+ (* -1 (* y (- x 1))) (* -1 (/ (+ (* -1 (- (pow x 2) 1)) (* -1 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) z))) z)))) |
(* (pow z 2) (+ (* -1 (* y (- x 1))) (* -1 (/ (+ (* -1 (- (pow x 2) 1)) (* -1 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) z))) z)))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(* (pow z 2) (- (* 1/4 (/ (pow y 2) (pow z 2))) 1)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (+ (* -1 z) (* -1/2 y))))) |
(+ 1 (+ x (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) 1/2)))))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(/ 1 z) |
(+ (* -1 y) (/ 1 z)) |
(+ (* y (- (* -1/2 (/ y z)) 1)) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/6 y) (* 1/2 (/ 1 z)))) 1)) (/ 1 z)) |
(/ 1 z) |
(+ (* -1/2 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/24 (/ (pow y 2) z)) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/720 (/ (pow y 2) z)) (* 1/24 (/ 1 z)))) (* 1/2 (/ 1 z)))) (/ 1 z)) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 x) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(+ 1 (+ x (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(/ (- (pow x 2) 1) (- x 1)) |
(- (+ (* -1 (* y z)) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))) |
(- (+ (* y (+ (* -1 z) (* -1/2 y))) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))) |
(- (+ (* y (+ (* -1 z) (* -1/2 y))) (/ (pow x 2) (- x 1))) (/ 1 (- x 1))) |
(* z (- (pow x 2) 1)) |
(+ (* y (+ (* -1 (* (pow z 2) (- x 1))) (* -1/2 (- (pow x 2) 1)))) (* z (- (pow x 2) 1))) |
(+ (* y (+ (* -1 (* (pow z 2) (- x 1))) (+ (* -1/2 (- (pow x 2) 1)) (* 1/4 (* (pow y 2) (- x 1)))))) (* z (- (pow x 2) 1))) |
(+ (* y (+ (* -1 (* (pow z 2) (- x 1))) (+ (* -1/2 (- (pow x 2) 1)) (* 1/4 (* (pow y 2) (- x 1)))))) (* z (- (pow x 2) 1))) |
(+ 1 x) |
(+ 1 (+ x (* -1 (* y z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ (* -1 (pow z 2)) (* 1/4 (pow y 2))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -2 (/ (+ (* -1 (* (pow z 2) (- x 1))) (* -1/2 (- (pow x 2) 1))) (* (pow y 2) (- x 1)))) (+ 1/2 (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y))))) |
(* (pow y 2) (- (+ (* -2 (/ (* z (- (pow x 2) 1)) (* (pow y 3) (- x 1)))) (* -2 (/ (+ (* -1 (* (pow z 2) (- x 1))) (* -1/2 (- (pow x 2) 1))) (* (pow y 2) (- x 1))))) (+ 1/2 (+ (* -2 (/ (* z (- (* -2 (/ (+ (* -1 (* (pow z 2) (- x 1))) (* -1/2 (- (pow x 2) 1))) (- x 1))) (* 2 (pow z 2)))) (pow y 3))) (+ (* 2 (/ (pow z 2) (pow y 2))) (/ z y)))))) |
(* 1/4 (* (pow y 3) (- x 1))) |
(* (pow y 3) (+ (* -1 (/ (* (pow z 2) (- x 1)) (pow y 2))) (+ (* -1/2 (/ (- (pow x 2) 1) (pow y 2))) (* 1/4 (- x 1))))) |
(* (pow y 3) (+ (* -1 (/ (* (pow z 2) (- x 1)) (pow y 2))) (+ (* -1/2 (/ (- (pow x 2) 1) (pow y 2))) (+ (* 1/4 (- x 1)) (/ (* z (- (pow x 2) 1)) (pow y 3)))))) |
(* (pow y 3) (+ (* -1 (/ (* (pow z 2) (- x 1)) (pow y 2))) (+ (* -1/2 (/ (- (pow x 2) 1) (pow y 2))) (+ (* 1/4 (- x 1)) (/ (* z (- (pow x 2) 1)) (pow y 3)))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(- (/ (cos y) z) (sin y)) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(/ (cos y) z) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* 1/24 (pow y 4)) |
(* (pow y 4) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/24 (/ 1 (pow y 4))) (* 1/2 (/ 1 (pow y 2))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ (+ (* 1/2 (- (pow x 2) 1)) (* (pow z 2) (- x 1))) (- x 1))) (* 2 (pow z 2))) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ (* z (- (pow x 2) 1)) (- x 1))) (* 2 (* z (- (* 2 (/ (+ (* 1/2 (- (pow x 2) 1)) (* (pow z 2) (- x 1))) (- x 1))) (* 2 (pow z 2)))))) y)) (* 2 (/ (+ (* 1/2 (- (pow x 2) 1)) (* (pow z 2) (- x 1))) (- x 1)))) (* 2 (pow z 2))) y)) (* -1 z)) y)) 1/2)) |
(* 1/4 (* (pow y 3) (- x 1))) |
(* -1 (* (pow y 3) (+ (* -1/4 (- x 1)) (+ (* 1/2 (/ (- (pow x 2) 1) (pow y 2))) (/ (* (pow z 2) (- x 1)) (pow y 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (pow x 2) 1)) (pow y 3))) (+ (* -1/4 (- x 1)) (+ (* 1/2 (/ (- (pow x 2) 1) (pow y 2))) (/ (* (pow z 2) (- x 1)) (pow y 2))))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (* z (- (pow x 2) 1)) (pow y 3))) (+ (* -1/4 (- x 1)) (+ (* 1/2 (/ (- (pow x 2) 1) (pow y 2))) (/ (* (pow z 2) (- x 1)) (pow y 2))))))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* 1/4 (pow y 2)) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1/4 (* -1 (/ (pow z 2) (pow y 2))))) |
(* z (- (/ (cos y) z) (sin y))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(+ x (* z (- (/ (cos y) z) (sin y)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y)))) |
(+ x (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y))))) |
(+ x (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y))))) |
(+ x (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y))))) |
(+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) |
(+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (+ (* -1 (+ z (* -1/2 y))) (* x (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))))) |
(+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (+ (* -1 (+ z (* -1/2 y))) (* x (+ (* x (+ z (* -1/2 y))) (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))))))) |
(+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (+ (* -1 (+ z (* -1/2 y))) (* x (+ (* x (+ z (* -1/2 y))) (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))))))) |
-1 |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (pow x 2) 1) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
x |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
(* x (+ 1 (/ (* z (- (/ (cos y) z) (sin y))) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (/ 1 (pow x 2))))) |
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 3) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y)))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))) |
(* (pow x 2) (+ z (* -1/2 y))) |
(* (pow x 2) (+ z (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))) |
(* (pow x 2) (+ z (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (pow x 2))) (+ (* -1 (/ (+ z (* -1/2 y)) (pow x 2))) (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))))) |
(* (pow x 2) (+ z (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (pow x 2))) (+ (* -1 (/ (+ z (* -1/2 y)) (pow x 2))) (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(* (pow x 2) (+ z (* -1/2 y))) |
(* (pow x 2) (+ z (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))) |
(* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y)))) |
(* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y)))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
| Outputs |
|---|
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z) |
(/ (+ (cos y) (* -1 (* z (sin y)))) z) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(/ (cos y) z) |
(/.f64 (cos.f64 y) z) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) |
(*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) y) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y))) z)) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
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(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) (*.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* (pow x 2) (+ z (* -1/2 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x) |
(* (pow x 2) (+ z (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x)) |
(* (pow x 2) (+ z (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (pow x 2))) (+ (* -1 (/ (+ z (* -1/2 y)) (pow x 2))) (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z)) (*.f64 x x)) |
(* (pow x 2) (+ z (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (pow x 2))) (+ (* -1 (/ (+ z (* -1/2 y)) (pow x 2))) (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))))) |
(*.f64 (+.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* z (- (/ (cos y) z) (sin y))) x)) 1))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (cos.f64 y) x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x) |
(* (pow x 2) (+ z (* -1/2 y))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x) |
(* (pow x 2) (+ z (+ (* -1/2 y) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) x)))) |
(*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x)) |
(* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y)))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y z) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (fma.f64 #s(literal -1/2 binary64) y z)) x)) x)) (*.f64 x x)) |
(* (pow x 2) (+ z (+ (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) x))) x)) (* -1/2 y)))) |
(*.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) y z) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 z y) z)) (fma.f64 #s(literal -1/2 binary64) y z)) x)) x)) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 355 |
| 0 | 82 | 355 |
| 1 | 357 | 355 |
| 2 | 3053 | 355 |
| 0 | 8909 | 351 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
(-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) |
(/.f64 (cos.f64 y) z) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (+ 1 x) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
(+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z))) |
(fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) |
| Outputs |
|---|
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Compiled 38 272 to 3 753 computations (90.2% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 077 | 19 | 1 096 |
| Fresh | 4 | 8 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 086 | 31 | 1 117 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 52.8% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))) | |
| ▶ | 48.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) | |
| 73.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) #s(literal -1 binary64))) z x)) | |
| 58.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64))) z x)) | |
| 48.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) | |
| 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) | |
| 70.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) | |
| 7.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| 16.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| 11.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| ▶ | 48.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
| 58.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 68.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 37.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 37.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 37.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) | |
| 38.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| ✓ | 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 35.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) | |
| ▶ | 90.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) |
| 33.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 30.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) | |
| 3.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) | |
| ▶ | 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
| 86.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) | |
| 62.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z))) | |
| 48.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 31.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
| ✓ | 19.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 898 to 710 computations (20.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | #s(approx (+ (cos y) x) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 128 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| cost-diff | 0 | (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) | |
| cost-diff | 1024 | (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 350 |
| 0 | 78 | 342 |
| 1 | 152 | 340 |
| 2 | 360 | 336 |
| 3 | 1210 | 336 |
| 4 | 4260 | 316 |
| 5 | 7319 | 316 |
| 0 | 8178 | 308 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(neg.f64 z) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (+ (cos y) x) (cos.f64 y)) |
(cos.f64 y) |
y |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 (cos.f64 y) x)) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) x) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(cos.f64 y) |
x |
#s(literal 1 binary64) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 x (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 z y) #s(literal 1/2 binary64)) y z) y #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 z y) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(neg.f64 z) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (+ (cos y) x) (cos.f64 y)) |
(cos.f64 y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 20.128893978968613 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) | |
| accuracy | 29.083210092372028 | #s(approx (+ (cos y) x) (cos.f64 y)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.140625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.5443727726931906 | (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 32.7132161031901 | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0390625 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) | |
| accuracy | 0.16796875 | (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) | |
| accuracy | 32.71722524339336 | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (*.f64 (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 32.7132161031901 | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) | |
| accuracy | 47.22965394690408 | #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) | |
| accuracy | 0 | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) | |
| accuracy | 0.05859375 | (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) | |
| accuracy | 0.140625 | (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) | |
| accuracy | 6.044233460029645 | (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
| 142.0ms | 256× | 0 | valid |
Compiled 260 to 50 computations (80.8% saved)
ival-mult: 41.0ms (38.4% of total)ival-add: 36.0ms (33.7% of total)ival-cos: 7.0ms (6.6% of total)ival-div: 6.0ms (5.6% of total)ival-sin: 6.0ms (5.6% of total)ival-sub: 5.0ms (4.7% of total)const: 4.0ms (3.7% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) (patch (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) (patch (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) (patch #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) (patch (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (cos y) x) (cos.f64 y)) (patch #s(approx (+ (cos y) x) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (+ 1 (/ (cos y) x))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) (taylor 0 z) (#s(alt (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) (patch #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | -inf | ((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y)) |
| 6.0ms | y | @ | -inf | ((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y)) |
| 4.0ms | y | @ | inf | ((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y)) |
| 4.0ms | x | @ | 0 | ((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y)) |
| 4.0ms | x | @ | -inf | ((* (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) x) (- (+ x (cos y)) (* z (sin y))) (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (/ (+ (* (neg z) (sin y)) (cos y)) x) (- (+ x (cos y)) (* z (sin y))) (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (* (neg z) y) (neg z) (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (+ (* 1/6 (* z y)) -1/2) (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (- (+ x (cos y)) (* z (sin y))) (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (- (+ x (cos y)) (* z (sin y))) (+ (cos y) x) (cos y) (+ (* (neg z) (sin y)) (cos y)) (* -1/2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 730 | 8772 |
| 1 | 2341 | 8112 |
| 2 | 7918 | 8099 |
| 0 | 8527 | 7670 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (/ (cos y) x))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ 1 (/ (cos y) x)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(/ (cos y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- (+ 2 (* 2 (/ (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y)))) y))) (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ 1 (+ x (+ (* -1/2 (pow y 2)) (* y (* z (- (* 1/6 (pow y 2)) 1)))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(* -1/2 y) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
(+ (* -1/2 y) (* z (- (* 1/6 (pow y 2)) 1))) |
-1/2 |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(- (* 1/6 (* y z)) 1/2) |
(+ 1 (+ x (* -1/2 (pow y 2)))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ 1 (+ x (+ (* -1 (* y z)) (* -1/2 (pow y 2))))) |
(+ x (cos y)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(/ 1 (+ 1 (+ x (* -1/2 (pow y 2))))) |
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(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ (+ (* 1/2 (- (pow x 2) 1)) (* (pow z 2) (- x 1))) (- x 1))) (* 2 (pow z 2))) y)) (* -1 z)) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ (* z (- (pow x 2) 1)) (- x 1))) (* 2 (* z (- (* 2 (/ (+ (* 1/2 (- (pow x 2) 1)) (* (pow z 2) (- x 1))) (- x 1))) (* 2 (pow z 2)))))) y)) (* 2 (/ (+ (* 1/2 (- (pow x 2) 1)) (* (pow z 2) (- x 1))) (- x 1)))) (* 2 (pow z 2))) y)) (* -1 z)) y)) 1/2)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* 1/6 (* (pow y 3) z)) |
(* -1 (* (pow y 3) (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ z y)) 1/2) y)) (* -1/6 z)))) |
(* -1 (* (pow y 3) (+ (* -1 (/ (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2) y)) (* -1/6 z)))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* 1/6 (* (pow y 2) z)) |
(* (pow y 2) (- (* 1/6 z) (* 1/2 (/ 1 y)))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* (pow y 2) (+ (* -1 (/ (+ 1/2 (/ z y)) y)) (* 1/6 z))) |
(* 1/6 (* y z)) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1 (* y (+ (* -1/6 z) (* 1/2 (/ 1 y))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(/ -2 (pow y 2)) |
(/ (- (* 4 (/ z y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (- (+ (* 4 (/ (+ 1 x) y)) (* 8 (/ (pow z 2) y))) (* 4 z)) y)) 2) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* z (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 8 (/ (* z (+ 1 x)) y))) (+ (* 4 (+ 1 x)) (* 8 (pow z 2)))) y)) (* 4 z)) y)) 2) (pow y 2)) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ z y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(* (pow y 2) (- (* -1 (/ (+ z (* -1 (/ (+ 1 x) y))) y)) 1/2)) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ (cos y) (* -1 (* z (sin y)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ (cos y) (* -1 (* z (sin y)))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x) |
(/ (+ x (+ (cos y) (* -1 (* z (sin y))))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y)))) |
(+ x (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y))))) |
(+ x (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y))))) |
(+ x (* -1 (/ (+ (* -1 (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2))))) (* -1 (+ z (* -1/2 y)))) (+ z (* -1/2 y))))) |
(+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(+ 1 (+ x (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(/ 1 (+ 1 (* y (- (* -1/2 y) z)))) |
(+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 2))) (/ 1 (+ 1 (* y (- (* -1/2 y) z))))) |
(+ (* x (- (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 3)) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 2)))) (/ 1 (+ 1 (* y (- (* -1/2 y) z))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ 1 (* y (- (* -1/2 y) z))) 4))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 3)))) (/ 1 (pow (+ 1 (* y (- (* -1/2 y) z))) 2)))) (/ 1 (+ 1 (* y (- (* -1/2 y) z))))) |
(+ 1 (* y (- (* -1/2 y) z))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(+ 1 (+ x (* y (- (* -1/2 y) z)))) |
(- (cos y) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(- (+ x (cos y)) (* z (sin y))) |
(cos y) |
(+ x (cos y)) |
(+ x (cos y)) |
(+ x (cos y)) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
1 |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) |
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (/ 1 (pow x 2))))) |
(* x (- (+ 1 (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 2) (+ z (* -1/2 y))))) (+ (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* (pow x 3) (+ z (* -1/2 y))))) (+ (/ 1 x) (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y)))))))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 2))) (+ (* -1 (/ (+ 1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (+ z (* -1/2 y)))) (pow x 3))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x))) x) |
(/ (- (+ 1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
x |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
(* x (+ 1 (/ (cos y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
1 |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) x) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) x) (pow (+ 1 (* y (- (* -1/2 y) z))) 2)) x)) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
| Outputs |
|---|
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x)) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x)) |
(+ (* -1 (* z (sin y))) (* x (+ 1 (/ (cos y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (fma.f64 (/.f64 (cos.f64 y) x) x x)) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ 1 (/ (cos y) x)) |
(+.f64 (/.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(/ (cos y) x) |
(/.f64 (cos.f64 y) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(+ x (cos y)) |
(+.f64 (cos.f64 y) x) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(+ x (+ (cos y) (* -1 (* z (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (+.f64 (cos.f64 y) x)) |
(* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) |
(*.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) y) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal 1 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) #s(literal -1/2 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) y))) z)) |
(+ (* -2 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* y (- x 1)))) (* z (- (+ (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* z (- 2 (* -2 (/ (- (* -2 (/ (- (pow x 2) 1) (* y (- x 1)))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))) y))))) (* 4 (/ (+ (* -1/2 (* y (- (pow x 2) 1))) (* 1/4 (* (pow y 3) (- x 1)))) (* (pow y 2) (- x 1))))))) |
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x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x)) x) |
(/ (- (+ 1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64))) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) (pow x 2))) (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) #s(literal 2 binary64)) x) x))) x) |
x |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x) |
x |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
(* x (- (+ 1 (/ (cos y) x)) (/ (* z (sin y)) x))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) x x) |
x |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
(* x (+ 1 (/ (cos y) x))) |
(fma.f64 (/.f64 (cos.f64 y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* -1 (* z (sin y)))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* z (sin y)) x)) (/ (cos y) x))) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
(/ (+ (cos y) (* -1 (* z (sin y)))) x) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
x |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ (* y (+ (* -1 (pow z 2)) (* 1/4 (pow y 2)))) (* x (+ z (* -1/2 y))))) (+ 1 (/ 1 x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal -1/2 binary64) y z)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 (*.f64 y y) #s(literal 1/4 binary64))) x) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* y (- (* 1/6 (* y z)) 1/2)) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ 1 x) (/ (* y (- (* -1/2 y) z)) x)) 1) x)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 2) x) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* y (- (* -1/2 y) z))) 3) x) (pow (+ 1 (* y (- (* -1/2 y) z))) 2)) x)) (+ 1 (* y (- (* -1/2 y) z)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* y (- (* -1/2 y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) y #s(literal 1 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
(* -1 (* x (- (* -1 (/ (- (cos y) (* z (sin y))) x)) 1))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) (neg.f64 x)) x (neg.f64 x))) |
x |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
(* -1 (* x (- (* -1 (/ (cos y) x)) 1))) |
(neg.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 310 |
| 0 | 78 | 302 |
| 1 | 346 | 300 |
| 2 | 3125 | 246 |
| 0 | 9428 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) |
(+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (+ (cos y) x) (cos.f64 y)) |
(cos.f64 y) |
(fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) |
(*.f64 #s(literal -1/2 binary64) y) |
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Compiled 32 784 to 3 336 computations (89.8% saved)
40 alts after pruning (34 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 218 | 18 | 1 236 |
| Fresh | 6 | 16 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 227 | 40 | 1 267 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.6% | (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 52.8% | (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))) | |
| 48.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) | |
| 48.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) | |
| 34.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) | |
| 73.1% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) #s(literal -1 binary64))) z x)) | |
| 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) | |
| 70.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) | |
| 50.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) | |
| 40.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) | |
| 7.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| 16.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| 11.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) | |
| 2.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) | |
| 2.9% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) | |
| 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) | |
| 58.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) | |
| ✓ | 68.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| 37.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 37.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) | |
| ✓ | 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
| 56.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) | |
| 90.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) #s(literal 1 binary64)) x)) | |
| 53.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) | |
| 33.7% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 24.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) | |
| 39.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) | |
| 30.8% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) | |
| 4.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) | |
| 3.0% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) | |
| ✓ | 12.4% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
| 43.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) | |
| 86.3% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) | |
| 62.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z))) | |
| 48.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) | |
| 43.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) | |
| ✓ | 31.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
| 18.6% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| 18.2% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| ✓ | 19.5% | #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Compiled 1 519 to 796 computations (47.6% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (/ (cos y) z) (sin y)) z) x) (*.f64 (fma.f64 (-.f64 (/.f64 (cos.f64 y) z) (sin.f64 y)) (/.f64 z x) #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(approx (cos y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) z))))) |
(fma.f64 (pow.f64 (-.f64 x (cos.f64 y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) x)) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (neg.f64 z) (sin.f64 y) (cos.f64 y))) #s(literal -1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) #s(literal -1 binary64))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (-.f64 (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (+.f64 (sin.f64 y) (/.f64 (cos.f64 y) z)) (pow.f64 (/.f64 z (cos.f64 y)) #s(literal -2 binary64))) #s(literal -1 binary64))) z x)) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 22.0ms | y |
| 19.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 18.0ms | z |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
4 calls:
| 16.0ms | y |
| 15.0ms | z |
| 14.0ms | x |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 87.8% | 1 | y |
| 99.6% | 3 | z |
| 99.6% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) (*.f64 (/.f64 (sin.f64 y) x) (neg.f64 z))) x)) |
| Outputs |
|---|
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
(-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
2 calls:
| 15.0ms | z |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | z |
| 99.5% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) |
3 calls:
| 15.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 15.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 81.7% | 5 | x |
| 94.2% | 3 | z |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
3 calls:
| 14.0ms | y |
| 14.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | y |
| 82.3% | 3 | z |
| 73.0% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) |
3 calls:
| 16.0ms | x |
| 13.0ms | z |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | y |
| 68.5% | 1 | x |
| 76.1% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
4 calls:
| 17.0ms | y |
| 16.0ms | x |
| 12.0ms | z |
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 4 | x |
| 70.7% | 3 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 64.1% | 3 | z |
| 68.4% | 4 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) y #s(literal -1/2 binary64)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (fma.f64 (*.f64 y (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) #s(literal -1 binary64))) z (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ 1 (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x)))) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 #s(approx (/ (+ (* (neg z) (sin y)) (cos y)) x) (fma.f64 (/.f64 (neg.f64 z) x) y (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) -1/2) (*.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) z)) y (neg.f64 z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) y) (+ 1 x)) (+.f64 (fma.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y (neg.f64 z)) x) y) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal -1/2 binary64) z)) y #s(literal -1 binary64)) y (/.f64 #s(literal 1 binary64) z))) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal 4 binary64) #s(literal -2 binary64)) y) y)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (+.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (fma.f64 #s(literal -1/2 binary64) y z) x))) x #s(literal 1 binary64)) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 z)) (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(approx (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (*.f64 (fma.f64 y (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) y) y (*.f64 (neg.f64 z) z)) x) #s(literal -1/2 binary64)) z) (*.f64 x x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 (fma.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 y y) (*.f64 (neg.f64 z) z)) y))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) y z)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -4 binary64) z (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 8 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) y))) y) #s(literal -1 binary64) #s(literal -2 binary64)) y) y)))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
3 calls:
| 16.0ms | x |
| 12.0ms | y |
| 12.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | y |
| 63.5% | 3 | x |
| 58.6% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (/.f64 (*.f64 (neg.f64 z) z) (+.f64 #s(literal 0 binary64) z)) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (- (* -1/2 y) z) y) (+ 1 x))) (/.f64 #s(literal -1 binary64) (*.f64 z y))))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 #s(literal -1/2 binary64) y) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (/.f64 #s(literal 1 binary64) z)) z x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) y) z) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (+.f64 (/.f64 #s(approx (+ (* (neg z) (sin y)) (cos y)) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/6 binary64))) y (+.f64 #s(literal 1 binary64) x))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 #s(approx (+ (/ (+ (* (neg z) (sin y)) (cos y)) x) 1) #s(literal 1 binary64)) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (* (- (* -1/2 y) z) y) (+ 1 x)) (*.f64 (neg.f64 z) y))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (/ (+ (* (- (* x x) 1) (+ (* -1/2 y) z)) (* (- x 1) (* (+ (* 1/4 (* y y)) (* (neg z) z)) y))) (* (- x 1) (+ (* -1/2 y) z))) (*.f64 (neg.f64 z) y))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
4 calls:
| 2.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 56.6% | 1 | x |
| 56.6% | 1 | z |
| 56.6% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.5% | 1 | z |
| 19.5% | 1 | y |
| 19.5% | 1 | x |
| 19.5% | 1 | (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9978924706734901 | 0.9996436948835368 |
| 0.0ms | -1413.361909237017 | -3.2096480679283843 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.228418659664289e-29 | 1.803594432878996e-25 |
| 24.0ms | -4.8379357707448345e+38 | -53919922994171.086 |
| 29.0ms | 304× | 0 | valid |
Compiled 278 to 337 computations (-21.2% saved)
ival-cos: 8.0ms (38.1% of total)ival-sin: 7.0ms (33.3% of total)ival-add: 2.0ms (9.5% of total)ival-mult: 2.0ms (9.5% of total)ival-sub: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000037192 | 163776107267.0893 |
| 0.0ms | -2757051560.6942677 | -789669.3916820851 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.80915701537396e+90 | 9.529698317608487e+92 |
| 26.0ms | -3.3628725331738957e+140 | -1.6174287318030393e+135 |
| 30.0ms | 256× | 0 | valid |
Compiled 188 to 254 computations (-35.1% saved)
ival-mult: 9.0ms (38.4% of total)ival-cos: 6.0ms (25.6% of total)ival-sin: 6.0ms (25.6% of total)ival-sub: 1.0ms (4.3% of total)ival-add: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.076091930251461e-5 | 65915.798209098 |
| 29.0ms | -3.1207669247261454e+24 | -16872888355427774000.0 |
| 32.0ms | 304× | 0 | valid |
Compiled 392 to 413 computations (-5.4% saved)
ival-cos: 13.0ms (53% of total)ival-sin: 6.0ms (24.5% of total)ival-add: 2.0ms (8.2% of total)ival-mult: 2.0ms (8.2% of total)ival-sub: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9978924706734901 | 0.9996436948835368 |
| 0.0ms | -1413.361909237017 | -3.2096480679283843 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2.0822585176972679e+27 | 4.424363116685349e+30 |
| 27.0ms | -7.707199412393888e+42 | -3.1207669247261454e+24 |
| 35.0ms | 288× | 0 | valid |
Compiled 372 to 392 computations (-5.4% saved)
ival-cos: 10.0ms (37.5% of total)ival-sin: 9.0ms (33.8% of total)ival-mult: 5.0ms (18.8% of total)ival-sub: 1.0ms (3.8% of total)ival-add: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 27609605617281148.0 | 3.845212810907855e+22 |
| 11.0ms | -7.707199412393888e+42 | -3.1207669247261454e+24 |
| 25.0ms | 208× | 0 | valid |
Compiled 373 to 413 computations (-10.7% saved)
ival-cos: 9.0ms (47.1% of total)ival-sin: 7.0ms (36.7% of total)ival-sub: 1.0ms (5.2% of total)ival-add: 1.0ms (5.2% of total)ival-mult: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.845212810907855e+22 | 2.0822585176972679e+27 |
| 16.0ms | -2.7346145512159194e+152 | -4.102095977488447e+151 |
| 27.0ms | 224× | 0 | valid |
Compiled 166 to 224 computations (-34.9% saved)
ival-cos: 8.0ms (39.2% of total)ival-sin: 7.0ms (34.3% of total)ival-mult: 3.0ms (14.7% of total)ival-sub: 1.0ms (4.9% of total)ival-add: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 601 |
| 1 | 137 | 601 |
| 2 | 155 | 601 |
| 3 | 161 | 601 |
| 4 | 163 | 601 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -55000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3920052866929211/21778071482940061661655974875633165533184 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -2000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)))) |
(if (<=.f64 z #s(literal -7499999999999999471636755242964368695626842646793525417430612848173548702543103004385723262155597206236015301841068836068912087932338176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 879999999999999968696767795275166490352867120744961882414770135231444371668368972880487120896 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -17000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3512807709348987/18014398509481984 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -6499999999999999622512640 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 5499999999999999660764692480 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -3199999999999999731564544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 43000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -109999999999999988806431525273025073096495602943278387819511120525475258823777154369401708130310285138509092707234791088930853478105700265123150729052160 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 40000000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 z (sin.f64 y))) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 4494592428115755/4503599627370496 binary64)) (-.f64 #s(approx (+ x (cos y)) (cos.f64 y)) (*.f64 (sin.f64 y) z)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 z #s(literal -55000000000000 binary64)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) (if (<=.f64 z #s(literal 3920052866929211/21778071482940061661655974875633165533184 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))))) |
(if (<=.f64 z #s(literal -55000000000000 binary64)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) (if (<=.f64 z #s(literal 3920052866929211/21778071482940061661655974875633165533184 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (-.f64 (+.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -2000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)))) |
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -2000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 2 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (- (/ (cos y) z) (sin y)) (neg.f64 (sin.f64 y))) z x)))) |
(if (<=.f64 z #s(literal -7499999999999999471636755242964368695626842646793525417430612848173548702543103004385723262155597206236015301841068836068912087932338176 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 879999999999999968696767795275166490352867120744961882414770135231444371668368972880487120896 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) #s(approx (- (+ x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -17000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 3512807709348987/18014398509481984 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 (cos.f64 y) x)))) |
(if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal -1000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))) |
(if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal -1000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (+.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) #s(literal 4494592428115755/4503599627370496 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ (cos y) x) (cos.f64 y))) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))))) |
(if (<=.f64 y #s(literal -6499999999999999622512640 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 5499999999999999660764692480 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) #s(literal -1/2 binary64)) y) z) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -3199999999999999731564544 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 43000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (fma.f64 #s(approx (+ (* (+ (* 1/6 (* z y)) -1/2) y) (neg z)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal -1 binary64)) z)) y (+.f64 #s(literal 1 binary64) x))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 y #s(literal -109999999999999988806431525273025073096495602943278387819511120525475258823777154369401708130310285138509092707234791088930853478105700265123150729052160 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) (if (<=.f64 y #s(literal 40000000000000000000000 binary64)) #s(approx (- (+ x (cos y)) (* z (sin y))) (-.f64 x (fma.f64 z y #s(literal -1 binary64)))) #s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (+ x (cos y)) (* z (sin y))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (+ x (cos y)) (* z (sin y))) #s(approx (+ 1 x) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 6721 |
| 1 | 1547 | 6518 |
| 2 | 5296 | 6436 |
| 0 | 8255 | 6073 |
| 0 | 103 | 612 |
| 1 | 287 | 607 |
| 2 | 770 | 605 |
| 3 | 2083 | 601 |
| 4 | 4366 | 601 |
| 5 | 6335 | 601 |
| 0 | 8451 | 579 |
| 0 | 730 | 8772 |
| 1 | 2341 | 8112 |
| 2 | 7918 | 8099 |
| 0 | 8527 | 7670 |
| 0 | 166 | 2810 |
| 1 | 476 | 2745 |
| 2 | 1322 | 2733 |
| 3 | 3928 | 2657 |
| 0 | 8426 | 2539 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 474 to 273 computations (42.4% saved)
Compiled 674 to 208 computations (69.1% saved)
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