
Time bar (total: 8.6s)
| 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)
| 1.2s | 8 256× | 0 | valid |
ival-cos: 422.0ms (48.9% of total)ival-sin: 260.0ms (30.1% of total)ival-mult: 118.0ms (13.7% of total)ival-sub: 53.0ms (6.1% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.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 |
| 55.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 13.0ms (35.1% of total)ival-cos: 12.0ms (32.4% of total)ival-mult: 9.0ms (24.3% of total)ival-sub: 2.0ms (5.4% 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 | 35 | 87 |
| 1 | 90 | 84 |
| 2 | 169 | 84 |
| 3 | 375 | 84 |
| 4 | 665 | 84 |
| 5 | 872 | 84 |
| 6 | 1052 | 84 |
| 7 | 1105 | 84 |
| 8 | 1113 | 84 |
| 9 | 1117 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 20 | 9 |
| 2 | 32 | 9 |
| 3 | 44 | 9 |
| 4 | 65 | 9 |
| 5 | 95 | 9 |
| 6 | 153 | 9 |
| 7 | 223 | 9 |
| 8 | 282 | 9 |
| 9 | 311 | 9 |
| 10 | 327 | 9 |
| 0 | 327 | 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 |
|---|---|---|
| ▶ | 99.8% | (-.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 | 20 | 24 |
| 2 | 32 | 24 |
| 3 | 44 | 24 |
| 4 | 65 | 24 |
| 5 | 95 | 24 |
| 6 | 153 | 24 |
| 7 | 223 | 24 |
| 8 | 282 | 24 |
| 9 | 311 | 24 |
| 10 | 327 | 24 |
| 0 | 327 | 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 | 0.1171875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.1328125 | (*.f64 x (cos.f64 y)) |
| 77.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (30.9% of total)ival-mult: 6.0ms (30.9% of total)ival-sin: 6.0ms (30.9% of total)ival-sub: 1.0ms (5.1% 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (+ (* -1 (* z (sin y))) (* 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 (* 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 (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 (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 (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 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 (+ 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 (+ x (* y (- (* -1/2 (* x 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 (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) 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 x (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (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 (* -1 (* 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 (* 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 (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 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 (+ (cos y) (* -1 (/ (* 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 (+ (cos y) (* -1 (/ (* 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 (+ (cos y) (* -1 (/ (* 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 (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (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)))) (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)))) (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)))) (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 (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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 | y | @ | 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 | x | @ | -inf | ((- (* 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 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 840 | 613 |
| 3 | 2068 | 607 |
| 4 | 3600 | 607 |
| 5 | 6269 | 607 |
| 0 | 8467 | 586 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (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)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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)) |
(* -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)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (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)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos 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 (cos y)) z) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (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) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(*.f64 x (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 (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (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) 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 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.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))) |
(- (* 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) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.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)) |
(*.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) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(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) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 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 12 734 to 737 computations (94.2% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 17 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 309 | 17 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.6% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
| ▶ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 73.6% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 84.6% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 60.3% | (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) | |
| 43.2% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 60.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| 43.3% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| 60.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) | |
| 43.2% | (*.f64 (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) | |
| ▶ | 60.4% | (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
| 45.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| 45.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 47.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ▶ | 41.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 59.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
Compiled 724 to 440 computations (39.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 41664 | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 128 | (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) | |
| cost-diff | 27456 | (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 x (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 285 |
| 0 | 58 | 244 |
| 1 | 104 | 242 |
| 2 | 199 | 241 |
| 3 | 596 | 241 |
| 4 | 1716 | 241 |
| 5 | 4684 | 241 |
| 6 | 5927 | 241 |
| 0 | 8110 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
z |
(*.f64 (cos.f64 y) x) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(-.f64 x (*.f64 z y)) |
(fma.f64 (neg.f64 z) y x) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))) |
(sin.f64 y) |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.2584762695368841 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 0.2858200195368841 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 12.472571482074544 | (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) | |
| accuracy | 0.2858200195368841 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 2.0507709291510294 | (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 25.152477945707528 | (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.1171875 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 37.387608448445796 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0 | (-.f64 x (*.f64 z y)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 33.82810887546292 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.06640625 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.1328125 | (*.f64 (cos.f64 y) x) |
| 142.0ms | 256× | 0 | valid |
Compiled 283 to 34 computations (88% saved)
ival-mult: 38.0ms (34.3% of total)ival-neg: 31.0ms (28% of total)ival-div: 13.0ms (11.7% of total)ival-sin: 7.0ms (6.3% of total)ival-pow2: 7.0ms (6.3% of total)ival-cos: 6.0ms (5.4% of total)ival-sub: 4.0ms (3.6% of total)ival-add: 3.0ms (2.7% 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 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (patch (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | -inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x)))) |
| 10.0ms | z | @ | 0 | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x)))) |
| 8.0ms | y | @ | 0 | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x)))) |
| 8.0ms | y | @ | inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x)))) |
| 6.0ms | y | @ | -inf | ((+ (* (sin y) (neg z)) (* (cos y) x)) (sin y) (neg z) (* (cos y) x) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (* (neg z) (sin y)) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (pow (* (sin y) z) 2) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (/ x (+ (* (sin y) z) (* (cos y) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 761 | 7386 |
| 1 | 2561 | 7057 |
| 0 | 8449 | 6851 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 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 |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 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))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin 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 (* x (cos y))) |
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y)))) |
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* -1 (* 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 (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(/ 1 (cos y)) |
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow x 2) (pow (cos y) 3)))))) (/ (sin y) (* x (pow (cos y) 2))))) (/ 1 (cos y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(/ -1 (* z (sin y))) |
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z) |
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* z (sin y)) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))) |
(/ x (* z (sin y))) |
(/ (+ (* -1 (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) (/ x (sin y))) z) |
(/ (- (+ (/ x (sin y)) (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 4) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (/ x (sin y))) (+ (* -1 (/ (* (pow x 3) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2))))) z) |
(* -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) |
(* -1 z) |
(* -1 z) |
(* -1 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 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* y z) |
(* y z) |
(* y z) |
(* 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 (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -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 (/ (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (pow (sin y) 3)))) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 4)))) (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow (sin y) 3)))) z)) (* -1 (/ (* x (cos y)) (pow (sin y) 2)))) z)) (/ 1 (sin y))) z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(* -1 (* z (+ (sin y) (/ (* x (cos y)) z)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y))))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z))))) |
(/ x (* z (sin y))) |
(* -1 (/ (+ (* -1 (/ x (sin y))) (/ (* (pow x 2) (cos y)) (* z (pow (sin y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ x (sin y))) (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 2)) (* z (pow (sin y) 3))) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z))) z)) |
(* -1 (/ (+ (* -1 (/ x (sin y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 4) (pow (cos y) 3)) (* z (pow (sin y) 4))) (/ (* (pow x 3) (pow (cos y) 2)) (pow (sin y) 3))) z)) (/ (* (pow x 2) (cos y)) (pow (sin y) 2))) z))) z)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(+ x (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x)) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x))))) (* -1 (/ (- (pow z 2) (* -1 (pow x 2))) x))) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) z))) |
(/ -1 x) |
(- (/ (* y z) (pow x 2)) (/ 1 x)) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1 (/ (* z (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3)))) x)) (+ (* -1/2 (/ z (pow x 2))) (* 1/6 (/ z (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (/ (pow z 2) (pow x 3))))) (* -1 (/ z (pow x 2))))) (/ 1 x)) |
(* -1 x) |
(- (* -1 (* y z)) x) |
(- (* y (+ (* -1 z) (* 1/2 (* x y)))) x) |
(- (* y (+ (* -1 z) (* y (- (* 1/6 (* y z)) (* -1/2 x))))) x) |
(* -1 (pow x 2)) |
(- (* (pow y 2) (- (pow z 2) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow z 2)) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow z 2)) (* (pow y 2) (- (* 2/45 (pow z 2)) (* -2/45 (pow x 2))))) (* 1/3 (pow x 2)))) (pow z 2)) (* -1 (pow x 2)))) (pow x 2)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
x |
(+ x (* -1 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
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 y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
(/ (* (pow y 2) (pow z 2)) x) |
(* (pow y 2) (+ (* -1 (/ (* y (pow z 3)) (pow x 2))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
(* (pow y 2) (+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ (pow z 3) (pow x 2))) (+ (* 1/2 (/ (pow z 3) (pow x 2))) (/ (* z (- (* -1/3 (/ (pow z 2) x)) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) x))))) (* -1/3 (/ (pow z 2) x))) (+ (* -1 (/ (pow z 4) (pow x 3))) (* -1/2 (/ (pow z 2) x))))) (/ (pow z 3) (pow x 2)))) (/ (pow z 2) x))) |
1 |
(+ 1 (* -1 (/ (* y z) x))) |
(+ 1 (* y (- (* y (- 1/2 (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(+ 1 (* y (- (* y (- (+ 1/2 (* -1 (* y (+ (* -1/6 (/ z x)) (+ (* 1/2 (/ z x)) (/ (* z (- 1/2 (* -1 (/ (pow z 2) (pow x 2))))) x)))))) (* -1 (/ (pow z 2) (pow x 2))))) (/ z x)))) |
(+ (* -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))) |
(sin y) |
(sin y) |
(sin y) |
(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))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y z) |
(* y z) |
(* y z) |
(* 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))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -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))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin 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))) |
(sin y) |
(sin y) |
(sin y) |
(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))) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* y z) |
(* y z) |
(* y z) |
(* 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))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ (- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -1 (* z (sin y))) (* x (cos y)))) |
(/ 1 (- (* -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))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(- (/ (* (pow x 2) (pow (cos y) 2)) (+ (* x (cos y)) (* z (sin y)))) (/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y))))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(pow (cos y) 2) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ (* (pow z 2) (pow (sin y) 2)) (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin y)))) |
(/ x (+ (* x (cos y)) (* z (sin y)))) |
(* -1 (* z (sin 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)) |
(* x (cos y)) |
(* x (cos 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))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin 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)) (* (pow z 2) (pow (sin y) 2))) (/ 1 (* z (sin y)))) |
(- (* x (- (* -1 (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3)))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(- (* x (- (* x (- (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4))) (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3))))) (* -1 (/ (cos y) (* (pow z 2) (pow (sin y) 2)))))) (/ 1 (* z (sin y)))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(+ (* -1 (* x (cos y))) (* -1 (* z (sin y)))) |
(* (pow z 2) (pow (sin y) 2)) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(+ (* -1 (* (pow x 2) (pow (cos y) 2))) (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y))) |
(- (* x (+ (cos y) (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y))))))) (* z (sin y))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* z (sin y)) |
(+ (* -1 (* x (cos y))) (* z (sin y))) |
(+ (* x (- (/ (* x (pow (cos y) 2)) (* z (sin y))) (cos y))) (* z (sin y))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 2) (pow (sin y) 2)))) (* -1 (/ (pow (cos y) 2) (* z (sin y)))))) (cos y))) (* z (sin y))) |
(/ x (* z (sin y))) |
(* x (+ (* -1 (/ (* x (cos y)) (* (pow z 2) (pow (sin y) 2)))) (/ 1 (* z (sin y))))) |
(* x (+ (* x (- (/ (* x (pow (cos y) 2)) (* (pow z 3) (pow (sin y) 3))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(* x (+ (* x (- (* x (- (* -1 (/ (* x (pow (cos y) 3)) (* (pow z 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow z 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow z 2) (pow (sin y) 2))))) (/ 1 (* z (sin y))))) |
(* x (cos y)) |
(* x (+ (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)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (cos y)) |
(* x (+ (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)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ -1 (* x (cos y))) |
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x) |
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x) |
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* 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))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(/ (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (sin y) 2)) (cos y)) (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 5) (pow (sin y) 5)) (* (pow x 3) (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (+ (* -1 (/ (* (pow z 4) (pow (sin y) 4)) (* (pow x 2) (pow (cos y) 3)))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2))))) x) |
(/ 1 (cos y)) |
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) |
(- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2)))) |
(- (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (/ (* z (sin y)) (* x (pow (cos y) 2))))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(/ -1 (* x (cos y))) |
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (cos y))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(* x (pow (cos y) 2)) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
(/ 1 (cos y)) |
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) |
(+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
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(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(*.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y)) (*.f64 z z)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y))) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x))) (neg.f64 x)) |
(/ 1 (cos y)) |
(/.f64 #s(literal 1 binary64) (cos.f64 y)) |
(+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x))) |
(+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 y) z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 197 |
| 0 | 58 | 156 |
| 1 | 234 | 154 |
| 2 | 1630 | 154 |
| 0 | 8500 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
(neg.f64 z) |
(*.f64 (cos.f64 y) x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
| Outputs |
|---|
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Compiled 106 620 to 3 885 computations (96.4% saved)
30 alts after pruning (27 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 524 | 23 | 2 547 |
| Fresh | 8 | 4 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 534 | 30 | 2 564 |
| Status | Accuracy | Program |
|---|---|---|
| 54.0% | (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) | |
| 84.6% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) x) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| 97.0% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) | |
| 72.1% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 73.6% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 84.6% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 33.3% | (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x)))) | |
| ▶ | 25.2% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
| 33.8% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 45.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) | |
| 45.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 20.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))))) | |
| 47.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) | |
| ✓ | 47.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 93.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) | |
| 88.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)) | |
| 26.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (sin.f64 y))) | |
| ✓ | 41.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 14.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) | |
| ▶ | 59.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| ▶ | 41.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
| 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) | |
| 46.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) | |
| ▶ | 14.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| 14.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) | |
| 14.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 32.5% | #s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) | |
| 25.4% | #s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x)) |
Compiled 963 to 693 computations (28% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) | |
| cost-diff | 192 | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| cost-diff | 320 | (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) | |
| 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 | (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| cost-diff | 1024 | (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 289 |
| 0 | 67 | 293 |
| 1 | 118 | 277 |
| 2 | 204 | 277 |
| 3 | 417 | 276 |
| 4 | 804 | 276 |
| 5 | 1919 | 264 |
| 6 | 3870 | 264 |
| 7 | 5266 | 264 |
| 8 | 6478 | 264 |
| 9 | 7325 | 264 |
| 10 | 7700 | 264 |
| 11 | 7884 | 264 |
| 0 | 8008 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 y (/.f64 z x) #s(literal -1 binary64)) |
y |
(/.f64 z x) |
z |
x |
#s(literal -1 binary64) |
(neg.f64 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 (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 y (neg.f64 z)))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
#s(approx (- x (* z y)) (*.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 y) z) |
(*.f64 y (neg.f64 z)) |
(neg.f64 y) |
y |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 y (neg.f64 z) x))) |
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) |
#s(approx (- x (* z y)) (fma.f64 y (neg.f64 z) x)) |
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 y (neg.f64 z) x) |
(fma.f64 y (/.f64 z x) #s(literal -1 binary64)) |
y |
(/.f64 z x) |
z |
x |
#s(literal -1 binary64) |
(neg.f64 x) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) |
#s(literal 1 binary64) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(neg.f64 (fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.6551683832932005 | (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) | |
| accuracy | 3.6450057100999658 | (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) | |
| accuracy | 25.152477945707528 | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| accuracy | 32.20311537079496 | #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.1328125 | (*.f64 (cos.f64 y) x) | |
| accuracy | 25.883892976369378 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0 | #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) | |
| accuracy | 3.3475341052521466 | (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) | |
| accuracy | 5.476611470308779 | (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) | |
| accuracy | 33.82810887546292 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 29.82896788432116 | #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 33.82810887546292 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.06640625 | (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0.1328125 | (*.f64 (cos.f64 y) x) | |
| accuracy | 0.1796875 | (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.28515625 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
| 108.0ms | 256× | 0 | valid |
Compiled 231 to 38 computations (83.5% saved)
ival-sub: 32.0ms (36.3% of total)ival-mult: 21.0ms (23.8% of total)ival-sin: 7.0ms (7.9% of total)ival-pow2: 7.0ms (7.9% of total)ival-cos: 6.0ms (6.8% of total)ival-div: 5.0ms (5.7% of total)ival-pow: 4.0ms (4.5% of total)ival-neg: 3.0ms (3.4% of total)ival-add: 2.0ms (2.3% 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 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (patch (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) #<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 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (patch (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) (patch (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (cos y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) (patch (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) (patch #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 z) (#s(alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (patch (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* y z) x) 1) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (patch (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* y z) x) 1) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (patch (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* y z) x) 1) (taylor 0 z) (#s(alt (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (patch (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#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 (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#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 (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#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 (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#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 (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (patch (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (patch (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (patch (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (patch (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#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 (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) (patch (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* x (cos y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (cos y))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (patch (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 2) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) (taylor -inf x) (#s(alt #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (patch #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z)) |
| 9.0ms | z | @ | 0 | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z)) |
| 4.0ms | y | @ | -inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z)) |
| 4.0ms | y | @ | inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z)) |
| 4.0ms | z | @ | -inf | ((/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (+ (* (neg z) (sin y)) (* (cos y) x)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (* (+ (* y (/ z x)) -1) (neg x)) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (+ (* y (/ z x)) -1) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (* (* (pow (sin y) 2) z) z) (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (- (* (neg z) (sin y)) (* (cos y) x)) (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (* (pow (sin y) 2) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 530 | 6597 |
| 1 | 1746 | 6432 |
| 2 | 5859 | 6389 |
| 0 | 8476 | 6206 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (* x (cos y))) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos 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))) (* x (cos y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 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 |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* 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 |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
-1 |
(- (/ (* y z) x) 1) |
(- (/ (* y z) x) 1) |
(- (/ (* y z) x) 1) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* 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 (* x (cos y))) |
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y)))) |
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(* -1 (* 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 (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(/ -1 (* z (sin y))) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ x z))) |
(* z (+ (* -1 y) (/ x z))) |
(* z (+ (* -1 y) (/ x z))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(/ (* y z) x) |
(* z (- (/ y x) (/ 1 z))) |
(* z (- (/ y x) (/ 1 z))) |
(* z (- (/ y x) (/ 1 z))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(/ -1 (* z (sin y))) |
(/ (- (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ 1 (sin y))) z) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y)))) z) |
(/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4))) (+ (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (+ (/ 1 (sin y)) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* z (+ (* -1 (sin y)) (* -1 (/ (* x (cos y)) z)))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (pow z 2))) (pow (sin y) 2))) |
(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
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(* x (cos y)) |
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(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
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(* -1 y) |
(* -1 y) |
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(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
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(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
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(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
(* z (pow (sin y) 2)) |
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(/ -1 (* z (sin y))) |
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(/ (+ (* -1 x) (* y z)) x) |
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(* x (cos y)) |
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(/ 1 (* x (cos y))) |
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(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
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(* x (cos y)) |
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x |
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x |
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x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
-1 |
(- (/ (* y z) x) 1) |
(- (/ (* y z) x) 1) |
(- (/ (* y z) x) 1) |
(* x (cos y)) |
(* x (+ (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)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(/ -1 (* x (cos y))) |
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x) |
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x) |
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(* -1 (* 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))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(/ 1 (* x (cos y))) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
-1 |
(- (/ (* y z) x) 1) |
(- (/ (* y z) x) 1) |
(- (/ (* y z) x) 1) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(/ -1 (* x (cos y))) |
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(* -1 (* x (cos y))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(+ (/ 1 (* x (cos y))) (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2)))) |
(fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 y) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
x |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
(+ x (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y x) |
-1 |
#s(literal -1 binary64) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(* (pow z 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ -1 (* x (cos y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x) |
(- (/ (* z (sin y)) (* (pow x 2) (pow (cos y) 2))) (/ 1 (* x (cos y)))) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x) |
(- (* z (- (* -1 (/ (* z (pow (sin y) 2)) (* (pow x 3) (pow (cos y) 3)))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x)) |
(- (* z (- (* z (- (/ (* z (pow (sin y) 3)) (* (pow x 4) (pow (cos y) 4))) (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3))))) (* -1 (/ (sin y) (* (pow x 2) (pow (cos y) 2)))))) (/ 1 (* x (cos y)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) z (/.f64 (sin.f64 y) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x)) |
(* -1 (* x (cos y))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(- (* -1 (* z (sin y))) (* x (cos y))) |
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(- (* -1 (* z (sin y))) (* x (cos y))) |
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(- (* -1 (* z (sin y))) (* x (cos y))) |
(neg.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(- (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 2))) |
(fma.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(* z (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(* z (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(* z (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(* z (pow (sin y) 2)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(/ -1 (* z (sin y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z) |
(/ (- (* -1 (/ (* x (cos y)) (* z (pow (sin y) 2)))) (/ 1 (sin y))) z) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)) |
(/ (- (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))) (+ (/ 1 (sin y)) (/ (* x (cos y)) (* z (pow (sin y) 2))))) z) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) (*.f64 (cos.f64 y) (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64)))))) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) z) |
(/ (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 4)))) (+ (/ 1 (sin y)) (+ (/ (* x (cos y)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (pow (sin y) 3)))))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))))) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (- (/ x z) y)) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (- (/ x z) y)) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (- (/ x z) y)) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (+ (* -1 y) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* y z)) |
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(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2))))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 z) x) y #s(literal 1 binary64)) x) |
-1 |
#s(literal -1 binary64) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (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) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(/ -1 (* x (cos y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x) |
(/ (- (/ (* z (sin y)) (* x (pow (cos y) 2))) (/ 1 (cos y))) x) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x) |
(/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y)))) x) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(/ (- (/ (* (pow z 3) (pow (sin y) 3)) (* (pow x 3) (pow (cos y) 4))) (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (+ (/ 1 (cos y)) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (pow (cos y) 3)))))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y)))) x) |
(* -1 (* x (cos y))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* x (- (* -1 (/ (* z (sin y)) x)) (cos y))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(/ 1 (* x (cos y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)) |
(* -1 (/ (- (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) y #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(- (/ (* y z) x) 1) |
(fma.f64 (/.f64 z x) y #s(literal -1 binary64)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (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) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(/ -1 (* x (cos y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) x) |
(* -1 (/ (+ (* -1 (/ (* z (sin y)) (* x (pow (cos y) 2)))) (/ 1 (cos y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal -1 binary64) (cos.f64 y))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (pow (cos y) 3)))) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 4)))) (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (pow (cos y) 3)))) x)) (* -1 (/ (* z (sin y)) (pow (cos y) 2)))) x)) (/ 1 (cos y))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) x) (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))) x)) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x) |
(* -1 (* x (cos y))) |
(*.f64 (neg.f64 x) (cos.f64 y)) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* -1 (* x (- (/ (* z (sin y)) x) (* -1 (cos y))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) z (cos.f64 y))) |
(* -1 (* (pow x 2) (pow (cos y) 2))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (sin y) 2)) (pow x 2)) (pow (cos y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (/.f64 (*.f64 z z) x)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 239 |
| 0 | 67 | 237 |
| 1 | 240 | 227 |
| 2 | 1343 | 226 |
| 0 | 8590 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x))) |
(fma.f64 y (/.f64 z x) #s(literal -1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) |
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x))) |
(-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
#s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) |
| Outputs |
|---|
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Compiled 52 648 to 3 905 computations (92.6% saved)
43 alts after pruning (37 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 682 | 29 | 1 711 |
| Fresh | 14 | 8 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 698 | 43 | 1 741 |
| Status | Accuracy | Program |
|---|---|---|
| 84.6% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) x) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) | |
| ▶ | 97.0% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) |
| 72.1% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| ▶ | 52.3% | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
| 52.3% | (pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) | |
| 33.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 35.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) | |
| 59.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))) | |
| 37.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 35.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 23.4% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 27.2% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 33.8% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 33.8% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 45.5% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 93.8% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| 88.7% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| 30.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| 47.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) | |
| ✓ | 47.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ✓ | 41.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ✓ | 59.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| ▶ | 33.2% | #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)) |
| ▶ | 33.3% | #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)) |
| 33.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| ▶ | 35.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 46.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 46.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| ✓ | 41.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
| 10.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) z))) | |
| 10.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z))) | |
| 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) | |
| 10.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))) | |
| ✓ | 14.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| 13.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x)))) | |
| 40.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 x)))) | |
| 46.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x)))) | |
| 14.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) | |
| 14.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 33.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 33.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
Compiled 1 157 to 940 computations (18.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 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 (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 393 |
| 0 | 87 | 393 |
| 1 | 140 | 393 |
| 2 | 220 | 393 |
| 3 | 437 | 393 |
| 4 | 819 | 393 |
| 5 | 1267 | 393 |
| 6 | 1959 | 393 |
| 7 | 3415 | 393 |
| 8 | 3981 | 393 |
| 9 | 4833 | 393 |
| 10 | 5014 | 393 |
| 11 | 5077 | 393 |
| 12 | 5096 | 393 |
| 13 | 5767 | 393 |
| 14 | 6075 | 393 |
| 15 | 6075 | 393 |
| 16 | 6075 | 393 |
| 17 | 6075 | 393 |
| 18 | 6175 | 393 |
| 19 | 6256 | 393 |
| 20 | 6264 | 393 |
| 21 | 6264 | 393 |
| 22 | 6264 | 393 |
| 0 | 6264 | 393 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(sin.f64 y) |
z |
(*.f64 (cos.f64 y) x) |
(neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))) |
#s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#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)) |
(*.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 |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(literal -1/2 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) |
(fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (*.f64 x x) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 z (sin.f64 y))))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
y |
#s(literal 2 binary64) |
x |
(/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(/.f64 x (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
z |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z))) |
(neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 z (sin.f64 y)))) |
#s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 z (sin.f64 y))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#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))) (*.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 |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
y |
(neg.f64 z) |
z |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
#s(literal -1/2 binary64) |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) | |
| accuracy | 0.07421875 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.26304628907376804 | (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| accuracy | 0.07421875 | (*.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 | 0.2537603699049925 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 14.189673300646726 | #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 | 18.612028391092327 | #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 | 0.07421875 | (*.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 | 0.25594326892074853 | (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 14.189673300646726 | #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 | 18.6045877892265 | #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 | 0.07421875 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) | |
| accuracy | 14.189673300646726 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| accuracy | 16.936092551798467 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.0859375 | (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) | |
| accuracy | 0.14128876953688402 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 16.224437679391613 | #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) |
| 167.0ms | 135× | 0 | valid |
| 74.0ms | 121× | 0 | invalid |
Compiled 291 to 43 computations (85.2% saved)
ival-mult: 78.0ms (36.4% of total)ival-add: 68.0ms (31.7% of total)ival-pow: 36.0ms (16.8% of total)ival-cos: 7.0ms (3.3% of total)const: 7.0ms (3.3% of total)ival-sin: 6.0ms (2.8% of total)ival-pow2: 5.0ms (2.3% of total)ival-div: 3.0ms (1.4% of total)ival-neg: 2.0ms (0.9% of total)ival-sub: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (patch (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (cos.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<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 #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 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) (patch (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 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 (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) (patch (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #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))) (*.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>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) (patch #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | y | @ | 0 | ((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (- (* 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) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (* (sin y) z) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (* x (cos y))) |
| 5.0ms | x | @ | -inf | ((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (- (* 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) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (* (sin y) z) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (* x (cos y))) |
| 4.0ms | y | @ | inf | ((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (- (* 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) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (* (sin y) z) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (* x (cos y))) |
| 4.0ms | y | @ | -inf | ((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (- (* 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) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (* (sin y) z) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (* x (cos y))) |
| 3.0ms | x | @ | 0 | ((+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (* (pow (cos y) 2) x) (pow (cos y) 2) (cos y) (- (* x (cos y)) (* z (sin y))) (* (cos y) x) (cos y) (- (* 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) (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (+ (* (sin y) (neg z)) (* x (cos y))) (sin y) (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (* (sin y) z) (+ (* 1/24 (* y y)) -1/2) (+ (* -1/720 (* y y)) 1/24) (* x (cos y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 645 | 6740 |
| 1 | 2090 | 6412 |
| 2 | 7610 | 6400 |
| 0 | 8070 | 6202 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (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))) |
(* 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))) (* x (cos y))) |
(sqrt (/ 1 (* x (cos y)))) |
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y))))) |
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y)))))) |
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))))))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)) |
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))) |
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))) |
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))) |
(* 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 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* 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 (* 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 (+ (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))))) |
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)) |
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))) |
(+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ (sin y) z)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (pow (sin y) 3))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4)))))) (* 1/2 (* (* (pow x 2) (* (pow (cos y) 2) (sqrt -1))) (sqrt (/ z (pow (sin y) 5)))))) (pow z 3))) (+ (* -1/2 (* (* x (* (cos y) (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -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))))) |
(* z (sin y)) |
(* -1 (* z (+ (* -1 (sin y)) (/ (* x (cos y)) z)))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y))) (* x (cos y))) z))))) |
(* -1 (* z (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (cos y) 3)) (* z (pow (sin y) 2))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -1 x) (* y (- (/ (pow z 3) (pow x 2)) (+ (* -1/6 z) (+ (* 1/2 z) (/ (* z (- (* -1 x) (+ (* -1 (/ (pow z 2) x)) (* -1/2 x)))) x)))))) (+ (* -1 (/ (pow z 2) x)) (+ (* -1/2 x) (/ (pow z 2) x))))) z))) |
x |
(+ x (* -1 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1 x) (* 1/3 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 2) (+ (* -2/45 (* x (pow y 2))) (* 1/3 x)))))) |
1 |
(+ 1 (* -1 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/3 (pow y 2)) 1))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/3 (* -2/45 (pow y 2)))) 1))) |
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))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (* y z)))) |
(+ (sqrt (/ 1 x)) (* y (+ (* 1/2 (* (sqrt x) (* y (- (* 1/2 (/ 1 x)) (+ (* -1 (/ (pow z 2) (pow x 3))) (* 1/4 (/ (pow z 2) (pow x 3)))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) z))))) |
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y |
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-1/2 |
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(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 3) (pow (sin y) 3)) (* x (pow (cos y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (/ (* (pow z 4) (pow (sin y) 4)) (* x (pow (cos y) 3))) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 5) (pow (sin y) 5)) (* x (pow (cos y) 4))) (/ (* (pow z 4) (pow (sin y) 4)) (pow (cos y) 3))) x)) (/ (* (pow z 3) (pow (sin y) 3)) (pow (cos y) 2))) x))) x)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 0 binary64) z (sin.f64 y))) z (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(sqrt (/ 1 (* x (cos y)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x))) |
(+ (sqrt (/ 1 (* x (cos y)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (* z (sin y))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (cos.f64 y) x))))) z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(+ (sqrt (/ 1 (* x (cos y)))) (* z (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (cos y) 3)))) (sin y))) (* z (+ (* -1/2 (* (sqrt (* x (cos y))) (* z (+ (* -1 (/ (pow (sin y) 3) (* (pow x 4) (pow (cos y) 4)))) (* -1/2 (/ (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))) (* x (cos y)))))))) (* -1/2 (* (sqrt (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))) (* 1/4 (/ (pow (sin y) 2) (* (pow x 3) (pow (cos y) 3)))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 y)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 z #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 y) x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 y) x)) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -3/4 binary64) (cos.f64 y))) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) z (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))))) z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y))) |
(*.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) |
(* (pow z 2) (+ (* -1 (/ (* z (pow (sin y) 3)) (* (pow x 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (neg.f64 (/.f64 z (*.f64 x x))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (sin y) 4)) (* (pow x 3) (pow (cos y) 3))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* z (- (* z (- (* -1 (/ (* z (pow (sin y) 5)) (* (pow x 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 4) (* (pow x 3) (pow (cos y) 3)))))) (/ (pow (sin y) 3) (* (pow x 2) (pow (cos y) 2))))) (/ (pow (sin y) 2) (* x (cos y))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 5 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x))) z (/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (cos.f64 y))) (*.f64 z 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) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y))) |
(*.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) z) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 (*.f64 x x) z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))) z) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (+ (/ (* x (cos y)) z) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))) (sin y))) |
(*.f64 (fma.f64 (neg.f64 (/.f64 (/.f64 (*.f64 x x) z) z)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (/.f64 (/.f64 (*.f64 x x) z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))))) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 y) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))) |
(+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1)))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cos.f64 y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))))) |
(+ (* -1/2 (* (sqrt (/ (sin y) (pow z 7))) (/ (+ (* 1/4 (/ (* (pow x 2) (* z (pow (cos y) 2))) (* (pow (sin y) 3) (pow (sqrt -1) 2)))) (/ (* (pow x 3) (pow (cos y) 3)) (pow (sin y) 4))) (sqrt -1)))) (+ (* -1/2 (* (/ (* x (cos y)) (sqrt -1)) (sqrt (/ 1 (* (pow z 3) (pow (sin y) 3)))))) (+ (* -1/2 (* (/ (* (pow x 2) (pow (cos y) 2)) (sqrt -1)) (sqrt (/ 1 (* (pow z 5) (pow (sin y) 5)))))) (* (sqrt (/ 1 (* z (sin y)))) (sqrt -1))))) |
(fma.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (sin.f64 y) (pow.f64 z #s(literal 7 binary64))))) #s(literal -1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (cos.f64 y) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (pow.f64 z #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (+ (sin y) (* -1 (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y)) z) |
(* z (- (+ (sin y) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z)) (cos.f64 y)) x) z) (sin.f64 y)) z) |
(* z (- (+ (sin y) (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 2))))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* x (cos y)) z)))) |
(*.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (-.f64 (/.f64 (*.f64 (cos.f64 y) x) z) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) x) (*.f64 (*.f64 (sin.f64 y) z) z))))) 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) |
(* 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))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y))))) |
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) z))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) z)) (* x (cos y))) z)) (* -1 (sin y))))) |
(*.f64 (neg.f64 z) (-.f64 (sin.f64 y) (/.f64 (fma.f64 (cos.f64 y) x (/.f64 #s(literal 0 binary64) z)) z))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))) |
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(*.f64 (neg.f64 z) (fma.f64 (neg.f64 x) (/.f64 (cos.f64 y) z) (sin.f64 y))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (cos.f64 y)) (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 (pow.f64 z #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 5 binary64))) (*.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x))) (neg.f64 x))) x))) x) |
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Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 305 |
| 0 | 87 | 305 |
| 1 | 299 | 299 |
| 2 | 1788 | 299 |
| 0 | 8456 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(cos.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #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)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(sin.f64 y) |
#s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 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)) |
(*.f64 x (cos.f64 y)) |
| Outputs |
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Compiled 34 154 to 2 931 computations (91.4% saved)
48 alts after pruning (41 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 144 | 17 | 1 161 |
| Fresh | 8 | 24 | 32 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 156 | 48 | 1 204 |
| Status | Accuracy | Program |
|---|---|---|
| 97.0% | (fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 z (sin.f64 y))))) | |
| 51.4% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))) | |
| 58.9% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (*.f64 z y))))) | |
| 96.8% | (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) | |
| 72.1% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) | |
| ✓ | 99.8% | (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
| 52.0% | (pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64)) | |
| 22.5% | (pow.f64 (pow.f64 #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| 30.3% | (pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) | |
| 35.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) | |
| 59.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))) | |
| 37.5% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))) | |
| 41.3% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) | |
| 35.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| 23.4% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 27.2% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 33.8% | (*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 45.5% | #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 93.8% | #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) | |
| 88.8% | #s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)) | |
| 88.7% | #s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| 30.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| 47.0% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) | |
| ✓ | 47.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ✓ | 41.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ✓ | 59.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
| 33.2% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 33.2% | #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)) | |
| 33.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) y) y #s(literal 1 binary64))) x)) | |
| 33.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) | |
| 33.3% | #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)) | |
| ✓ | 35.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 46.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 46.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) | |
| ✓ | 41.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
| 10.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) z))) | |
| 10.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z))) | |
| 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) | |
| 10.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))) | |
| ✓ | 14.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| 13.7% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x)))) | |
| 40.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 x)))) | |
| 46.1% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x)))) | |
| 14.0% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) | |
| 14.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 33.2% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) x (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 33.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 33.4% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) y x))) |
Compiled 2 152 to 962 computations (55.3% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
#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))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #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 #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))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 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 (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 (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) 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))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) x (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) |
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x)) |
#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))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 x (/.f64 (cos.f64 y) z) (neg.f64 (sin.f64 y))) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
#s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (cos.f64 y) (/.f64 x z) (neg.f64 (sin.f64 y))) z)) |
#s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (*.f64 (fma.f64 (neg.f64 z) (/.f64 (sin.f64 y) x) (cos.f64 y)) x)) |
(pow.f64 #s(approx (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) x)))) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* (sin y) (neg z)) (* x (cos y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y)))) #s(literal 2 binary64)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) #s(literal 2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) #s(literal -1/4 binary64)) #s(literal -4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) #s(approx (* (sin y) z) (*.f64 z y))))) |
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (*.f64 (sin.f64 y) z) z) (sin.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 y y)))) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 z (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (cos.f64 y))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (fma.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (neg.f64 z)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(approx (/ 1 (- (* (neg z) (sin y)) (* (cos y) x))) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))))))) |
(*.f64 #s(approx (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64))))) |
(/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))) x) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) (/.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
4 calls:
| 34.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 25.0ms | y |
| 25.0ms | x |
| 24.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
#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))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #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 #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))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 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 (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 (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) 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))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) x (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) |
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x)) |
#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))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (sin.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 18.0ms | y |
| 16.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 16.0ms | x |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
#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))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #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 #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))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 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 (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 (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) 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))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) x (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) |
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x)) |
#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))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (sin.f64 y))) |
| Outputs |
|---|
#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))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 16.0ms | y |
| 15.0ms | z |
| 12.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 3 | x |
| 80.5% | 6 | y |
| 73.2% | 3 | z |
| 59.5% | 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
#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))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #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 #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))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 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 (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 (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) 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))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) x (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) |
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x)) |
#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))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
3 calls:
| 36.0ms | y |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 3 | z |
| 71.6% | 3 | y |
| 66.8% | 3 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) y x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 (/.f64 x z) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (/ 1 (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1)) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (pow (pow (+ (* (sin y) (neg z)) (* x (cos y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (/.f64 (*.f64 z y) x)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 (neg.f64 (*.f64 y y)) y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 y (/.f64 z x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 z (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)))) |
#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))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #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 #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))) #s(approx (- x (* z y)) (*.f64 (*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) y x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (fma.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 y y)) x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (neg.f64 z)) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) z)) z)) (neg.f64 x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 #s(approx (+ (* y (/ z x)) -1) (*.f64 (-.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) y)) y)) (neg.f64 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 (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 (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) 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))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 y y) x) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) x (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (neg z) (sin y)) (* (cos y) x)) -1) (fma.f64 (/.f64 z x) (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (* (pow (cos y) 2) x) (/ x (+ (* (sin y) z) (* (cos y) x)))) (neg (/ (pow (* (sin y) z) 2) (+ (* (sin y) z) (* (cos y) x))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 x) (-.f64 (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 z z) x)) (/.f64 (*.f64 z z) x))) y (neg.f64 z)) y x)) |
#s(approx (* (- (pow (* (sin y) z) 2) (pow (* (cos y) x) 2)) (/ 1 (- (* (neg z) (sin y)) (* (cos y) x)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (fma.f64 z z (*.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 (*.f64 (neg.f64 z) z) x))) y (neg.f64 z)) y x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 21.0ms | x |
| 17.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 11.0ms | y |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.1% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 47.1% | 1 | z |
| 47.1% | 1 | x |
| 47.1% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #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 |
|---|---|---|
| 35.9% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 38.4% | 2 | z |
| 39.3% | 3 | x |
| 35.9% | 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))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
2 calls:
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.9% | 1 | x |
| 35.9% | 1 | z |
Compiled 2 to 6 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 4.164565425595567e-74 | 1.4929749790560865e-67 |
| 17.0ms | -2.401191696064951e-135 | -3.882731947280618e-139 |
| 59.0ms | 272× | 0 | valid |
Compiled 199 to 269 computations (-35.2% saved)
ival-cos: 41.0ms (78.2% of total)ival-sin: 6.0ms (11.4% of total)ival-mult: 4.0ms (7.6% of total)ival-sub: 1.0ms (1.9% 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 |
|---|---|---|
| 10.0ms | 571624811.7297834 | 878778259.0644244 |
| 27.0ms | -245985702700407.84 | -1.822371006750114e-20 |
| 28.0ms | 240× | 0 | valid |
Compiled 177 to 224 computations (-26.6% saved)
ival-sin: 12.0ms (55.9% of total)ival-cos: 5.0ms (23.3% of total)ival-mult: 3.0ms (14% of total)ival-sub: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 50.0ms | -3.0004216039094647e+120 | -1.7827009385673705e+116 |
| 12.0ms | 128× | 0 | valid |
Compiled 100 to 142 computations (-42% saved)
ival-cos: 3.0ms (35.1% of total)ival-sin: 3.0ms (35.1% of total)ival-mult: 2.0ms (23.4% of total)ival-sub: 1.0ms (11.7% 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 | 47 | 191 |
| 1 | 71 | 191 |
| 2 | 86 | 191 |
| 3 | 94 | 191 |
| 4 | 98 | 191 |
| 5 | 99 | 191 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -1964034364737685/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2486616182048933/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #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)))) |
(if (<=.f64 y #s(literal -5534023222112865/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 580000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal -72000000000000000280373683004936118788269645365149818907006420328026456656366497773656996381323061714857792245631811584 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -1964034364737685/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 2486616182048933/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #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)))) |
(if (<=.f64 x #s(literal -1964034364737685/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 x #s(literal 2486616182048933/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
(if (<=.f64 y #s(literal -5534023222112865/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 580000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 y #s(literal -5534023222112865/1152921504606846976 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))) (if (<=.f64 y #s(literal 580000000 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 x (cos.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal -72000000000000000280373683004936118788269645365149818907006420328026456656366497773656996381323061714857792245631811584 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 19 |
| 0 | 530 | 6597 |
| 1 | 1746 | 6432 |
| 2 | 5859 | 6389 |
| 0 | 8476 | 6206 |
| 0 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 840 | 613 |
| 3 | 2068 | 607 |
| 4 | 3600 | 607 |
| 5 | 6269 | 607 |
| 0 | 8467 | 586 |
| 0 | 761 | 7386 |
| 1 | 2561 | 7057 |
| 0 | 8449 | 6851 |
| 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 |
| 1× | iter limit |
Compiled 163 to 107 computations (34.4% saved)
Compiled 202 to 94 computations (53.5% saved)
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