
Time bar (total: 8.8s)
| 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-sin: 330.0ms (36.7% of total)ival-cos: 265.0ms (29.5% of total)ival-mult: 257.0ms (28.6% of total)ival-add: 37.0ms (4.1% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | (*.f64 z (cos.f64 y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (sin.f64 y)) |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 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 |
| 52.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-sin: 14.0ms (39.8% of total)ival-cos: 11.0ms (31.3% of total)ival-mult: 7.0ms (19.9% of total)ival-add: 2.0ms (5.7% 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 | 35 | 87 |
| 1 | 79 | 81 |
| 2 | 139 | 81 |
| 3 | 307 | 81 |
| 4 | 458 | 81 |
| 5 | 693 | 81 |
| 6 | 871 | 81 |
| 7 | 957 | 81 |
| 8 | 1038 | 81 |
| 9 | 1104 | 81 |
| 10 | 1118 | 81 |
| 11 | 1123 | 81 |
| 12 | 1125 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 16 | 9 |
| 0 | 16 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.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 (cos.f64 y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 x (sin.f64 y)) | |
| cost-diff | 128 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 16 | 24 |
| 0 | 16 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(*.f64 x (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.08203125 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.1015625 | (*.f64 x (sin.f64 y)) |
| 33.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-sin: 9.0ms (43.2% of total)ival-cos: 7.0ms (33.6% of total)ival-mult: 3.0ms (14.4% of total)ival-add: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* -1/2 (* y z))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) (taylor 0 y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1/6 (* x (pow y 2))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) (taylor 0 y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (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 (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (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 (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor -inf y) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf y) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (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 (cos y)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (sin y) (/ (* z (cos y)) x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 x (sin.f64 y)) (patch (*.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | x | @ | 0 | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (* x (sin y)) (* z (cos y))) (* x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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 (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
z |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(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 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(*.f64 z (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
(*.f64 z (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))) |
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)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
| Outputs |
|---|
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Compiled 8 420 to 573 computations (93.2% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 269 | 13 | 282 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 270 | 13 | 283 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.9% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
| ▶ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ▶ | 36.3% | (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
| 64.7% | (fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| 37.7% | (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 57.8% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 37.7% | (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 48.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ▶ | 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 36.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) | |
| ▶ | 65.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 480 to 302 computations (37.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) | |
| cost-diff | 13888 | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| cost-diff | 0 | (log.f64 (cos.f64 y)) | |
| cost-diff | 0 | (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 12800 | (exp.f64 (log.f64 z)) | |
| cost-diff | 12800 | (exp.f64 (log.f64 (cos.f64 y))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 y x z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
Useful iterations: 15 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 219 |
| 0 | 55 | 209 |
| 1 | 86 | 209 |
| 2 | 145 | 207 |
| 3 | 392 | 207 |
| 4 | 1032 | 207 |
| 5 | 2487 | 207 |
| 6 | 3391 | 207 |
| 7 | 4036 | 207 |
| 8 | 4125 | 207 |
| 9 | 4152 | 207 |
| 10 | 4166 | 207 |
| 11 | 4970 | 207 |
| 12 | 5346 | 207 |
| 13 | 5346 | 207 |
| 14 | 5346 | 207 |
| 15 | 5386 | 200 |
| 16 | 5442 | 200 |
| 17 | 5523 | 200 |
| 18 | 5659 | 200 |
| 19 | 6255 | 200 |
| 20 | 7120 | 200 |
| 0 | 8587 | 200 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(exp.f64 (log.f64 (cos.f64 y))) |
(log.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
(exp.f64 (log.f64 z)) |
(log.f64 z) |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 x x) |
x |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
y |
x |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 x y z)) |
(fma.f64 y x z) |
(fma.f64 x y z) |
y |
x |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(exp.f64 (log.f64 (cos.f64 y))) |
(cos.f64 y) |
(log.f64 (cos.f64 y)) |
(cos.f64 y) |
y |
(exp.f64 (log.f64 z)) |
z |
(log.f64 z) |
z |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x (neg.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(*.f64 x x) |
x |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
(sin.f64 y) |
y |
#s(literal 2 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))) |
(neg.f64 z) |
z |
(cos.f64 y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0703125 | (pow.f64 (sin.f64 y) #s(literal 2 binary64)) | |
| accuracy | 2.045296772393933 | (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 7.252050492024708 | (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) | |
| accuracy | 8.144277787716828 | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) | |
| accuracy | 0.01171875 | (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.02734375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 2.1378487196154206 | (exp.f64 (log.f64 z)) | |
| accuracy | 4.960117143985847 | (log.f64 (cos.f64 y)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.015625 | (*.f64 (cos.f64 y) z) | |
| accuracy | 7.4723555252391 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0 | (fma.f64 y x z) | |
| accuracy | 8.756005601043743 | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.015625 | (*.f64 (cos.f64 y) z) |
| 102.0ms | 157× | 0 | invalid |
| 94.0ms | 49× | 2 | valid |
| 23.0ms | 10× | 1 | valid |
| 13.0ms | 40× | 0 | valid |
Compiled 422 to 59 computations (86% saved)
ival-log: 59.0ms (28.7% of total)ival-assert: 53.0ms (25.8% of total)ival-mult: 35.0ms (17.1% of total)ival-cos: 16.0ms (7.8% of total)ival-add: 10.0ms (4.9% of total)ival-sin: 7.0ms (3.4% of total)adjust: 6.0ms (2.9% of total)ival-exp: 6.0ms (2.9% of total)ival-pow2: 6.0ms (2.9% of total)ival-div: 4.0ms (1.9% of total)ival-neg: 3.0ms (1.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (log.f64 (cos.f64 y))) (patch (exp.f64 (log.f64 (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (log.f64 z)) (patch (exp.f64 (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (log.f64 (cos.f64 y)) (patch (log.f64 (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt (fma.f64 y x z) (patch (fma.f64 y x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (exp.f64 (log.f64 z)) (patch (exp.f64 (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (exp.f64 (log.f64 z)) (patch (exp.f64 (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (exp.f64 (log.f64 z)) (patch (exp.f64 (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 z) (#s(alt (exp.f64 (log.f64 z)) (patch (exp.f64 (log.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) (patch (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) (taylor 0 z) (#s(alt (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (patch (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (/ (* x (sin y)) z))) (taylor inf z) (#s(alt (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) (patch (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 56.0ms | y | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (exp (log (cos y))) (exp (log z)) (+ (* (exp (log (cos y))) (exp (log z))) (* (sin y) x)) (log (cos y)) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 21.0ms | z | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (exp (log (cos y))) (exp (log z)) (+ (* (exp (log (cos y))) (exp (log z))) (* (sin y) x)) (log (cos y)) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 21.0ms | y | @ | -inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (exp (log (cos y))) (exp (log z)) (+ (* (exp (log (cos y))) (exp (log z))) (* (sin y) x)) (log (cos y)) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 6.0ms | x | @ | inf | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (exp (log (cos y))) (exp (log z)) (+ (* (exp (log (cos y))) (exp (log z))) (* (sin y) x)) (log (cos y)) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 5.0ms | y | @ | 0 | ((+ (* (sin y) x) (* (cos y) z)) (sin y) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (+ (* x (sin y)) (* z (cos y))) (exp (log (cos y))) (exp (log z)) (+ (* (exp (log (cos y))) (exp (log z))) (* (sin y) x)) (log (cos y)) (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (* (sin y) x) (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (pow (sin y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 639 | 5806 |
| 1 | 2154 | 5567 |
| 2 | 7395 | 5538 |
| 0 | 8140 | 5235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
z |
z |
z |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* (pow z 2) (+ (* z (- (* z (- (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (+ 1 (/ (* x y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
z |
z |
z |
z |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (* -1 (cos y)))) |
(* z (cos y)) |
(* z (- (/ (* x (sin y)) z) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))) (* -1 (cos y)))) |
(* z (- (+ (/ (* x (sin y)) z) (+ (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))) (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (* -1 (cos y)))) |
(* -1 (/ (pow (sin y) 2) (* z (cos y)))) |
(/ (+ (* -1 (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (cos y)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3)))) (* -1 (/ (pow (sin y) 2) (cos y)))) (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 5)) (* (pow z 3) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (* (pow x 2) (pow (sin y) 4)) (* (pow z 2) (pow (cos y) 3))))) z) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z)))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y))))) (/ (* x (sin y)) z))) |
(* z (- (+ (* -1 (cos y)) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 2))))) (+ (/ (* x (sin y)) z) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (cos y)))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
z |
z |
z |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) z)) (* x (sin y))) z)) (cos y)))) |
(* z (cos y)) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* x (sin y)) (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) z)) (cos y)))) |
(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y))) (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))))) z)) (* x (sin y))) z)) (cos y)))) |
(* -1 (/ (pow (sin y) 2) (* z (cos y)))) |
(* -1 (/ (+ (/ (* x (pow (sin y) 3)) (* z (pow (cos y) 2))) (/ (pow (sin y) 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (* z (pow (cos y) 3)))) (/ (* x (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (pow (sin y) 2) (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 5)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 4)) (pow (cos y) 3)))) z)) (/ (* x (pow (sin y) 3)) (pow (cos y) 2))) z)) (/ (pow (sin y) 2) (cos y))) z)) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (/ (* x (sin y)) z)))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (cos y)))) (* x (sin y))) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 2))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (cos y)))) z)) (* x (sin y))) z))))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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)))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
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))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(* -1/2 (pow y 2)) |
(* (pow y 2) (- (* -1/12 (pow y 2)) 1/2)) |
(* (pow y 2) (- (* (pow y 2) (- (* -1/45 (pow y 2)) 1/12)) 1/2)) |
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* -17/2520 (pow y 2)) 1/45)) 1/12)) 1/2)) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (/ (pow x 2) z))) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* -1 (/ (pow x 2) z)) (+ (* 1/2 z) (+ (* y (- (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x))) (/ (pow x 3) (pow z 2)))) (/ (pow x 2) z)))) z)))) (* -1 z)) |
z |
(- (* x y) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (/ (pow x 2) z)) z)))) (* -1 z)) |
(- (* y (+ x (* y (- (+ (* 1/2 z) (+ (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))) (/ (pow x 2) z))) z)))) (* -1 z)) |
(* -1 (/ (pow y 2) z)) |
(* (pow y 2) (- (* -1 (/ (* x y) (pow z 2))) (/ 1 z))) |
(* (pow y 2) (- (* y (- (* y (- (* 1/3 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))) |
(* (pow y 2) (- (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* 1/3 (/ 1 z)) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) z)) (+ (* -1/6 (/ x (pow z 2))) (* 1/2 (/ x (pow z 2))))))) (* 1/3 (/ 1 z))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (* x y))) |
(+ (* -1 z) (* y (- (* y (- z (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(+ (* -1 z) (* y (- (* y (- (+ z (* -1 (* y (+ (* -1 (/ (* x (- z (+ (* 1/2 z) (/ (pow x 2) z)))) z)) (+ (* -1/6 x) (* 1/2 x)))))) (+ (* 1/2 z) (/ (pow x 2) z)))) x))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1/3 (pow y 2)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* 2/45 (pow y 2)) 1/3)))) |
(* (pow y 2) (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 2/45 (* -1/315 (pow y 2)))) 1/3)))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(log (cos y)) |
(log (cos y)) |
(log (cos y)) |
(log (cos y)) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(log (cos y)) |
(log (cos y)) |
(log (cos y)) |
(log (cos y)) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(- (/ (* (pow x 2) (pow (sin y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y))))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (pow (sin y) 2) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(/ (* (pow z 2) (pow (cos y) 2)) (+ (* -1 (* z (cos y))) (* x (sin y)))) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(pow (sin y) 2) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(* z (cos y)) |
(- (* x (sin y)) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (/ (* x (pow (sin y) 2)) (* z (cos y))))) (* -1 (* z (cos y)))) |
(- (* x (+ (sin y) (* x (+ (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2))) (/ (pow (sin y) 2) (* z (cos y))))))) (* -1 (* z (cos y)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -1 (/ (pow (sin y) 2) (* z (cos y)))) |
(+ (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (* -1 (/ (pow (sin y) 2) (* z (cos y))))) |
(+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* -1 (/ (* x (pow (sin y) 4)) (* (pow z 3) (pow (cos y) 3)))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))))) |
(+ (* -1 (/ (pow (sin y) 2) (* z (cos y)))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 5)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 4) (* (pow z 3) (pow (cos y) 3))))) (/ (pow (sin y) 3) (* (pow z 2) (pow (cos y) 2)))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1 (* z (cos y))) |
(+ (* -1 (* x (sin y))) (* -1 (* z (cos y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* z (cos y)))) (sin y)))) |
(+ (* -1 (* z (cos y))) (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 2) (pow (cos y) 2)))) (/ (pow (sin y) 2) (* z (cos y))))) (sin y)))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* x (- (+ (sin y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (pow x 2)))) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (+ (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) x) |
(/ (+ (sin y) (/ (* z (cos y)) x)) x) |
(/ (- (+ (sin y) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))) (* -1 (/ (* z (cos y)) x))) x) |
(/ (- (+ (sin y) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 2)))) (+ (* -1 (/ (* z (cos y)) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (sin y)))))) x) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ (sin y) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (* -1 (* z (cos y)))) x))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* -1 (* z (cos y)))) x))) x)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x y) |
(*.f64 y x) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(+ z (* x y)) |
(fma.f64 y x z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
z |
z |
z |
z |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (cos y) 2) (* x (sin y)))) (/ (pow (cos y) 2) (* x (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z (cos.f64 y)) z (*.f64 (sin.f64 y) x)) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (*.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(* (pow z 2) (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2)))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3)))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (neg.f64 z) (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(* (pow z 2) (- (* z (+ (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))) (* z (+ (* -1 (/ (* z (pow (cos y) 5)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 4) (* (pow x 3) (pow (sin y) 3)))))))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 z (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x))) z (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (neg.f64 (sin.f64 y)))) (*.f64 z z)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) (pow x 2))) |
(fma.f64 (/.f64 (cos.f64 y) x) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (sin y))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(fma.f64 (fma.f64 (/.f64 z (sin.f64 y)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (cos.f64 y) x) x)) z (/.f64 (sin.f64 y) x)) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 2))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (sin y)))))) (* -1 (/ (cos y) (pow x 2))))) (/ (sin y) x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sin.f64 y)))) z (/.f64 (/.f64 (cos.f64 y) x) x)) z (/.f64 (sin.f64 y) x)) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(*.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
(* (pow z 2) (+ (/ (* z (pow (cos y) 3)) (* (pow x 2) (pow (sin y) 2))) (/ (pow (cos y) 2) (* x (sin y))))) |
(*.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) x) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) (*.f64 z z)) |
(* (pow z 2) (+ (* z (- (/ (* z (pow (cos y) 4)) (* (pow x 3) (pow (sin y) 3))) (* -1 (/ (pow (cos y) 3) (* (pow x 2) (pow (sin y) 2)))))) (/ (pow (cos y) 2) (* x (sin y))))) |
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(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (sin.f64 y)) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (neg.f64 x))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(*.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
(/ (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) x)) x) |
(/ (- (+ (/ (* (pow z 2) (pow (cos y) 2)) (sin y)) (/ (* (pow z 5) (pow (cos y) 5)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 x))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y)) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 z) x) y)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) (* -1 (* z (cos y)))) x))))) |
(*.f64 (neg.f64 x) (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)))) |
(* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y)))) |
(*.f64 (neg.f64 (*.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y))) |
(* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2))) (* -1 (/ (+ (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3)) (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) x))) x)) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y)))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x)) (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))) x)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) (* -1 (* z (cos y)))) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (neg.f64 x)) (sin.f64 y)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2)))) (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) x)) (* -1 (* z (cos y)))) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (cos.f64 y) z (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x)) (neg.f64 x)) (sin.f64 y)) (neg.f64 x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* (pow z 2) (pow (cos y) 2)) (* x (sin y))) |
(*.f64 (*.f64 z z) (/.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (sin.f64 y))) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 2))))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (sin.f64 y))) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (/ (* (pow z 4) (pow (cos y) 4)) (* x (pow (sin y) 3))) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 4 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 x))) x) |
(* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (sin y))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 5) (pow (cos y) 5)) (* x (pow (sin y) 4)))) (/ (* (pow z 4) (pow (cos y) 4)) (pow (sin y) 3))) x)) (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (pow (sin y) 2)))) x))) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 z z) (/.f64 (fma.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64)) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 5 binary64)) x) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x))) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 163 |
| 0 | 55 | 126 |
| 1 | 191 | 126 |
| 2 | 1161 | 125 |
| 0 | 8727 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(sin.f64 y) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(fma.f64 y x z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(exp.f64 (log.f64 (cos.f64 y))) |
(exp.f64 (log.f64 z)) |
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(log.f64 (cos.f64 y)) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)))) |
(*.f64 x x) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(*.f64 (sin.f64 y) x) |
(/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) |
(pow.f64 (sin.f64 y) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 77 012 to 2 580 computations (96.6% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 868 | 21 | 1 889 |
| Fresh | 7 | 1 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 877 | 25 | 1 902 |
| Status | Accuracy | Program |
|---|---|---|
| 57.9% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 83.3% | (fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) | |
| 64.7% | (fma.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) x (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) | |
| 64.5% | (fma.f64 (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) | |
| 46.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) | |
| 50.9% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| 49.7% | (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
| ▶ | 57.8% | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
| 36.7% | #s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (sin.f64 y) x)) | |
| 48.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 48.7% | #s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| ✓ | 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 33.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| 49.8% | #s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) | |
| ✓ | 65.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos 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))) z)) | |
| 39.1% | #s(approx (+ (* x (sin y)) (* z (cos 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))) z)) | |
| 38.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 41.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 35.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ▶ | 12.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| ▶ | 38.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
| ▶ | 39.1% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
Compiled 840 to 558 computations (33.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 27712 | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| cost-diff | 320 | (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 386 |
| 0 | 83 | 363 |
| 1 | 152 | 358 |
| 2 | 355 | 356 |
| 3 | 1043 | 356 |
| 4 | 2607 | 356 |
| 5 | 5295 | 356 |
| 6 | 7758 | 356 |
| 0 | 8041 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) |
z |
(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(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) |
(*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) |
z |
(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) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z))) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z)) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(fma.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) z) |
z |
(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(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (*.f64 (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)) z))) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
#s(approx (* (cos y) z) (*.f64 (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)) z)) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(*.f64 (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)) z) |
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) |
(*.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)) z) |
(*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) |
(*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) z) |
z |
(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) |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
#s(literal 2 binary64) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z))) |
#s(literal 1 binary64) |
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x)) |
(-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 x) (sin.f64 y) (*.f64 (cos.f64 y) z)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1484375 | (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) | |
| accuracy | 0.201503759768442 | (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) | |
| accuracy | 2.093745871660412 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) | |
| accuracy | 26.78918250874529 | (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| accuracy | 0.10546875 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 4.367006000306135 | (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) | |
| accuracy | 22.36626672345131 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| accuracy | 32.954548892133026 | #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) | |
| accuracy | 0.12109375 | (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 3.814609527104033 | (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) | |
| accuracy | 22.36626672345131 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) | |
| accuracy | 32.799287495793386 | #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 32.042702890367956 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) | |
| accuracy | 33.96923498343639 | #s(approx (+ (* y x) z) (*.f64 y x)) | |
| accuracy | 0.03515625 | (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.08203125 | (*.f64 z (cos.f64 y)) | |
| accuracy | 0.1484375 | (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
| 156.0ms | 256× | 0 | valid |
Compiled 647 to 83 computations (87.2% saved)
ival-mult: 91.0ms (68.1% of total)ival-add: 8.0ms (6% of total)ival-sin: 7.0ms (5.2% of total)const: 7.0ms (5.2% of total)ival-cos: 6.0ms (4.5% of total)ival-div: 5.0ms (3.7% of total)ival-pow2: 5.0ms (3.7% of total)ival-sub: 2.0ms (1.5% of total)ival-neg: 2.0ms (1.5% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (patch (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) (patch #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) (patch (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (patch (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) (patch #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) (patch (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (patch (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<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 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (patch (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 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 (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (patch (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (patch (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (patch (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) (patch (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* x y)) (taylor 0 z) (#s(alt #s(approx (+ (* y x) z) (*.f64 y x)) (patch #s(approx (+ (* y x) z) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) (patch #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) (patch #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) (patch (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (patch (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (patch (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (patch (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (patch (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) (taylor -inf x) (#s(alt (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) (patch (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (pow (sin y) 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) (patch (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (* y y)) z) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* z (cos y)) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* -1/720 (* y y)) 1/24)) (+ (* -1/720 (* y y)) 1/24) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 14.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (* y y)) z) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* z (cos y)) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* -1/720 (* y y)) 1/24)) (+ (* -1/720 (* y y)) 1/24) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 7.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (* y y)) z) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* z (cos y)) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* -1/720 (* y y)) 1/24)) (+ (* -1/720 (* y y)) 1/24) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 6.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (* y y)) z) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* z (cos y)) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* -1/720 (* y y)) 1/24)) (+ (* -1/720 (* y y)) 1/24) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 6.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (sin y) (+ (* x (sin y)) (* z (cos y))) (+ (* y x) z) (* y x) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (+ (* (* z (+ (* -1/720 (* y y)) 1/24)) (* y y)) (* -1/2 z)) (* y y)) z) (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (neg (- (* (cos y) z) (* (sin y) x))) (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (* z (cos y)) (+ (* 1/24 (* y y)) -1/2) (* z (+ (* -1/720 (* y y)) 1/24)) (+ (* -1/720 (* y y)) 1/24) (pow (* (sin y) x) 2) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 566 | 8318 |
| 1 | 1866 | 8211 |
| 2 | 6181 | 8157 |
| 0 | 8115 | 7681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
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(* (pow x 2) (pow (sin y) 2)) |
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(* x (sin y)) |
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(/ 1 (* z (cos y))) |
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(* z (+ (cos y) (/ (* x (sin y)) z))) |
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(* (pow z 2) (pow (cos y) 2)) |
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(* z (cos y)) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
z |
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(* -1 (* z (- (* -1 (/ (* x y) z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
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(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1))) |
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(* -1 (* z (- (* -1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) 1))) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))) |
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))) |
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))) |
(* -1 (* z (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
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(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1))) |
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1))) |
(* -1 (* z (- (* (pow y 2) (+ 1/2 (* -1 (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2))))))) 1))) |
(* z (cos y)) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
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(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* (pow z 2) (- (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2)) (pow (cos y) 2))) |
(* -1 (* z (cos y))) |
(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y))))) |
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(* -1 (* z (- (* -1 (/ (* x (sin y)) z)) (* -1 (cos y))))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow z 2))) (pow (cos y) 2))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ 1/24 (* -1/720 (pow y 2)))) |
(* z (+ 1/24 (* -1/720 (pow y 2)))) |
(* z (+ 1/24 (* -1/720 (pow y 2)))) |
(* z (+ 1/24 (* -1/720 (pow y 2)))) |
(/ -1 (* z (cos y))) |
(* -1 (/ (+ (/ 1 (cos y)) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* z (pow (cos y) 3)))) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow (sin y) 3)) (* z (pow (cos y) 4))) (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (pow (cos y) 3)))) z)) (/ (* x (sin y)) (pow (cos y) 2))) z)) (/ 1 (cos y))) z)) |
z |
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(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
(/ 1 z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(+ (* y (- (* y (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* y (- (* y (- (+ (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (- (* 1/2 (/ 1 z)) (* -1 (/ (pow x 2) (pow z 3))))) z))))) (* 1/2 (/ 1 z))) (* -1 (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
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)))) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
z |
(+ z (* x y)) |
(+ z (* y (+ x (* -1/2 (* y z))))) |
(+ z (* y (+ x (* y (+ (* -1/2 z) (* -1/6 (* x y))))))) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
z |
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(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(* -1/2 z) |
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(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(+ (* -1/2 z) (* 1/24 (* (pow y 2) z))) |
(* -1/2 z) |
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(+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))) |
z |
(+ z (* x y)) |
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z |
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(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
z |
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(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
z |
(+ z (* x y)) |
(+ z (* y (- (* y (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(+ z (* y (- (* y (- (+ (* -1 (* y (+ (* -1 (/ (* x (- (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z)) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) z)) (+ (* -1/2 x) (* 1/6 x))))) (* -1 (/ (- (pow x 2) (* -1 (pow z 2))) z))) (+ (* -1 (/ (pow x 2) z)) (* -1/2 z)))) (* -1 x)))) |
(* -1 (pow z 2)) |
(- (* (pow y 2) (- (pow x 2) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (* -1/3 (pow x 2)) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(- (* (pow y 2) (- (+ (* (pow y 2) (- (+ (* -1/3 (pow x 2)) (* (pow y 2) (- (* 2/45 (pow x 2)) (* -2/45 (pow z 2))))) (* 1/3 (pow z 2)))) (pow x 2)) (* -1 (pow z 2)))) (pow z 2)) |
(* -1 z) |
(- (* x y) z) |
(- (* y (+ x (* 1/2 (* y z)))) z) |
(- (* y (+ x (* y (- (* -1/6 (* x y)) (* -1/2 z))))) z) |
(pow z 2) |
(+ (* (pow y 2) (- (* -1 (pow z 2)) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 2)) (* (pow y 2) (- (* 1/3 (pow z 2)) (* -1/3 (pow x 2))))) (pow x 2))) (pow z 2)) |
(+ (* (pow y 2) (- (+ (* -1 (pow z 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 x 2))) (pow z 2)) |
z |
(+ z (* -1/2 (* (pow y 2) z))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) |
(+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* 1/24 (pow y 2)) 1/2) |
(* 1/24 z) |
(+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)) |
(+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)) |
(+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(* (pow x 2) (pow y 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow x 2) (pow y 2))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* 2/45 (* (pow x 2) (pow y 2))))) (pow x 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow x 2)) (* (pow y 2) (+ (* -1/315 (* (pow x 2) (pow y 2))) (* 2/45 (pow x 2)))))) (pow x 2))) |
(/ -1 z) |
(- (* -1 (/ (* x y) (pow z 2))) (/ 1 z)) |
(- (* y (- (* -1 (* y (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(- (* y (- (* y (- (* -1 (* y (+ (* -1/6 (/ x (pow z 2))) (+ (* 1/2 (/ x (pow z 2))) (/ (* x (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3)))) z))))) (+ (* 1/2 (/ 1 z)) (/ (pow x 2) (pow z 3))))) (/ x (pow z 2)))) (/ 1 z)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* y (+ x (/ z y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* 1/24 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* 1/24 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* -1/720 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1/720 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* -1/720 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(/ 1 (+ (* x (sin y)) (* z (cos y)))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ z y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* 1/24 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 2))) (+ (* 1/24 z) (/ z (pow y 4))))) |
(* 1/24 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* (pow y 2) (+ (* -1/2 (/ z (pow y 2))) (* 1/24 z))) |
(* -1/720 (* (pow y 4) z)) |
(* (pow y 4) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(* (pow y 4) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1/720 (* (pow y 6) z)) |
(* (pow y 6) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2)))))) |
(* (pow y 6) (+ (* -1/2 (/ z (pow y 4))) (+ (* -1/720 z) (+ (* 1/24 (/ z (pow y 2))) (/ z (pow y 6)))))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(/ (- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) (- (* x (sin y)) (* z (cos y)))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(- (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 2))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* 1/24 (pow y 2)) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/24 (* 1/2 (/ 1 (pow y 2))))) |
(* -1/720 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* (pow y 2) (+ (* -1/720 z) (* 1/24 (/ z (pow y 2))))) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(/ 1 (- (* x (sin y)) (* z (cos y)))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* z (cos y))) |
(+ (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(+ (* x (- (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(+ (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (* -1 (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3)))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
z |
(+ z (* x y)) |
(+ z (* x y)) |
(+ z (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* -1 (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(- (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 2))) |
(* -1 (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(- (* x (sin y)) (* z (cos y))) |
(* (pow z 2) (pow (cos y) 2)) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(+ (* -1 (* (pow x 2) (pow (sin y) 2))) (* (pow z 2) (pow (cos y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ -1 (* z (cos y))) |
(- (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (/ 1 (* z (cos y)))) |
(- (* x (- (* -1 (/ (* x (pow (sin y) 2)) (* (pow z 3) (pow (cos y) 3)))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(- (* x (- (* x (- (* -1 (/ (* x (pow (sin y) 3)) (* (pow z 4) (pow (cos y) 4)))) (/ (pow (sin y) 2) (* (pow z 3) (pow (cos y) 3))))) (/ (sin y) (* (pow z 2) (pow (cos y) 2))))) (/ 1 (* z (cos y)))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(/ 1 (* x (sin y))) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x y) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x (+ y (/ z x))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (sin y)) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* x (sin y)) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (* x (sin y))) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(* (pow x 2) (pow (sin y) 2)) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
| Outputs |
|---|
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (cos.f64 y) (*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
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(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x (+ y (/ z x))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* x (+ (sin y) (* -1 (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(/ (+ (/ 1 (sin y)) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))))) x) |
(/.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 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) x) (*.f64 (*.f64 (neg.f64 z) z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (neg.f64 x))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* -1 (* x (+ (* -1 y) (* -1 (/ z x))))) |
(*.f64 (+.f64 (/.f64 z x) y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2))) (pow (sin y) 2))) |
(*.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x)))) (*.f64 x x)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (/ (* z (cos y)) x)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 (cos.f64 y) x) (sin.f64 y)) x) |
(* -1 (* (pow x 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (/ (* (pow z 2) (pow (cos y) 2)) (pow x 2)) (pow (sin y) 2))) |
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (*.f64 z (/.f64 z x))) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 x x)) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(* (pow x 2) (pow (sin y) 2)) |
(*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (cos.f64 y) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4)))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (* -1 (/ (* z (cos y)) (pow (sin y) 2)))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x)) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 328 |
| 0 | 83 | 305 |
| 1 | 304 | 300 |
| 2 | 1998 | 300 |
| 0 | 8660 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))) |
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))) |
(sin.f64 y) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* y x) z) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z)) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z) |
(*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z)) |
(fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))) |
(*.f64 z (cos.f64 y)) |
(fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)))) |
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Compiled 52 408 to 3 915 computations (92.5% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 697 | 17 | 1 714 |
| Fresh | 8 | 9 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 709 | 30 | 1 739 |
| Status | Accuracy | Program |
|---|---|---|
| 64.7% | (fma.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) x (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) | |
| 46.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) | |
| 50.9% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 59.6% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ▶ | 49.7% | (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
| 52.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 48.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))) | |
| 36.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) | |
| ▶ | 35.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
| ▶ | 65.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
| 31.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x))) | |
| 41.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z))) | |
| 36.9% | (*.f64 (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 48.7% | #s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 48.7% | #s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) | |
| 36.7% | #s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 33.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 65.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 39.1% | #s(approx (+ (* x (sin y)) (* z (cos 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))) z)) | |
| 38.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| ▶ | 41.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 35.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ✓ | 12.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) y) y z))) | |
| ▶ | 39.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
| 39.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/24 binary64))) (*.f64 y y) z))) | |
| 25.0% | #s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 z z (*.f64 x x)) z)) y x) y z)) |
Compiled 881 to 650 computations (26.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 z) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) | |
| cost-diff | 12800 | (exp.f64 (log.f64 z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 11648 | (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| cost-diff | 128 | (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) | |
| cost-diff | 6144 | (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 374 |
| 0 | 81 | 364 |
| 1 | 122 | 364 |
| 2 | 193 | 364 |
| 3 | 331 | 364 |
| 4 | 540 | 364 |
| 5 | 936 | 364 |
| 6 | 1809 | 364 |
| 7 | 3886 | 364 |
| 8 | 5811 | 364 |
| 9 | 7058 | 364 |
| 10 | 7930 | 364 |
| 0 | 8092 | 353 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(/.f64 x (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) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
(/.f64 #s(literal -1 binary64) (cos.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) |
(fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z) |
(*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) |
z |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 z z)) |
x |
(*.f64 z z) |
z |
(/.f64 #s(literal 1 binary64) z) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
(exp.f64 (log.f64 z)) |
(log.f64 z) |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) z) (fma.f64 (/.f64 (/.f64 x (cos.f64 y)) z) (sin.f64 y) #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) z) (fma.f64 (/.f64 (/.f64 x (cos.f64 y)) z) (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 y)) z) (fma.f64 (/.f64 (/.f64 x (cos.f64 y)) z) (sin.f64 y) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (fma.f64 (/.f64 (/.f64 x (cos.f64 y)) z) (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 x (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) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
(/.f64 #s(literal -1 binary64) (cos.f64 y)) |
#s(literal -1 binary64) |
(neg.f64 z) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z)) |
(fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
(*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) |
(*.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z) |
z |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) |
(*.f64 #s(literal 1/24 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal 1/24 binary64) |
(*.f64 y y) |
y |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 y z) x #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 y z) x #s(literal -1 binary64))) |
(neg.f64 y) |
y |
(/.f64 x (*.f64 z z)) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) x) |
x |
(*.f64 z z) |
z |
(/.f64 #s(literal 1 binary64) z) |
(pow.f64 z #s(literal -1 binary64)) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(cos.f64 y) |
y |
(exp.f64 (log.f64 z)) |
z |
(log.f64 z) |
z |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.03515625 | (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) | |
| accuracy | 0.05078125 | (*.f64 (sin.f64 y) x) | |
| accuracy | 2.9202477145497334 | (exp.f64 (log.f64 z)) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) | |
| accuracy | 1.6530199298791526 | (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 3.0459991223415135 | (/.f64 x (*.f64 z z)) | |
| accuracy | 21.53666583310891 | #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 1.4165575999884963 | (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) | |
| accuracy | 12.004567206305424 | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) | |
| accuracy | 14.711784117269573 | #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) | |
| accuracy | 18.14265165890739 | #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) | |
| accuracy | 0.04296875 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) | |
| accuracy | 12.004567206305424 | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| accuracy | 16.758118007986003 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.09765625 | (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) | |
| accuracy | 0.10546875 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) | |
| accuracy | 0.135097509768442 | (pow.f64 (cos.f64 y) #s(literal 2 binary64)) | |
| accuracy | 11.950604461354216 | #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
| 102.0ms | 135× | 0 | valid |
| 79.0ms | 121× | 0 | invalid |
Compiled 506 to 82 computations (83.8% saved)
ival-add: 33.0ms (22.3% of total)ival-exp: 32.0ms (21.6% of total)ival-div: 30.0ms (20.2% of total)ival-mult: 18.0ms (12.1% of total)const: 15.0ms (10.1% of total)ival-sin: 7.0ms (4.7% of total)ival-cos: 6.0ms (4% of total)ival-log: 3.0ms (2% of total)ival-pow2: 3.0ms (2% of total)ival-neg: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (patch (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) #<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 (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) (patch #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) (patch #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z) (patch (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (patch (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (exp.f64 (log.f64 z)) (patch (exp.f64 (log.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (log.f64 z) (patch (log.f64 z) #<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 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) (patch #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 z z)) (patch (/.f64 x (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* z (pow (cos y) 2))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (patch (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (patch (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (patch (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (patch (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) (patch (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (sin y)) (* z (cos y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* x (sin y))) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow (cos y) 2)) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow (cos y) 2)) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow (cos y) 2)) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow (cos y) 2)) (taylor -inf x) (#s(alt (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (patch (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z z)) (patch (/.f64 x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z z)) (patch (/.f64 x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z z)) (patch (/.f64 x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow z 2)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z z)) (patch (/.f64 x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | z | @ | 0 | ((+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (neg y) (exp (log z)) (+ (* (cos y) (exp (log z))) (* (sin y) x)) (cos y) (log z) (pow (cos y) 2) (/ x (pow (cos y) 2)) (+ (* 1/24 (* y y)) -1/2) (/ x (* z z)) (* (sin y) x)) |
| 18.0ms | z | @ | -inf | ((+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (neg y) (exp (log z)) (+ (* (cos y) (exp (log z))) (* (sin y) x)) (cos y) (log z) (pow (cos y) 2) (/ x (pow (cos y) 2)) (+ (* 1/24 (* y y)) -1/2) (/ x (* z z)) (* (sin y) x)) |
| 12.0ms | z | @ | inf | ((+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (neg y) (exp (log z)) (+ (* (cos y) (exp (log z))) (* (sin y) x)) (cos y) (log z) (pow (cos y) 2) (/ x (pow (cos y) 2)) (+ (* 1/24 (* y y)) -1/2) (/ x (* z z)) (* (sin y) x)) |
| 10.0ms | y | @ | -inf | ((+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (neg y) (exp (log z)) (+ (* (cos y) (exp (log z))) (* (sin y) x)) (cos y) (log z) (pow (cos y) 2) (/ x (pow (cos y) 2)) (+ (* 1/24 (* y y)) -1/2) (/ x (* z z)) (* (sin y) x)) |
| 4.0ms | y | @ | inf | ((+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/ (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (neg z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (cos y) (+ (* x (sin y)) (* z (cos y))) (* (cos y) z) (+ (* (* z (+ (* 1/24 (* y y)) -1/2)) (* y y)) z) (* z (+ (* 1/24 (* y y)) -1/2)) (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (/ 1 (+ (* x (sin y)) (* z (cos y)))) (neg y) (exp (log z)) (+ (* (cos y) (exp (log z))) (* (sin y) x)) (cos y) (log z) (pow (cos y) 2) (/ x (pow (cos y) 2)) (+ (* 1/24 (* y y)) -1/2) (/ x (* z z)) (* (sin y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 408 | 6448 |
| 1 | 1301 | 6307 |
| 2 | 4342 | 6258 |
| 0 | 8180 | 5926 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* -1 (/ (* x y) (pow z 2))) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(/ 1 (* x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
z |
z |
z |
z |
(* x (sin y)) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(+ (* x (sin y)) (* z (cos y))) |
(log z) |
(log z) |
(log z) |
(log z) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ -1 (cos y)) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(/ (+ 1 (* -1 (/ (* x y) z))) z) |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
z |
z |
z |
z |
(* z (cos y)) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(* -1 (log (/ 1 z))) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ -1 (cos y)) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) z)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (* x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
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(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (/ (* x y) (pow z 2))) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ 1 (* x (sin y))) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(* x (sin y)) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(/ x (pow (cos y) 2)) |
(/ x (pow (cos y) 2)) |
(/ x (pow (cos y) 2)) |
(/ x (pow (cos y) 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(/ x (pow z 2)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
| Outputs |
|---|
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z) |
(/ (+ (* -1 (/ z (cos y))) (/ (* x (sin y)) (pow (cos y) 2))) z) |
(/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) z)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(/ (+ (* -1 (/ (* x (sin y)) (pow (cos y) 2))) (/ z (cos y))) (pow z 2)) |
(/.f64 (-.f64 (/.f64 z (cos.f64 y)) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) (*.f64 z z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(* -1 (/ (* x y) (pow z 2))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z) |
(/ (+ z (* -1 (* x y))) (pow z 2)) |
(/.f64 (/.f64 (-.f64 z (*.f64 y x)) z) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (* (pow x 2) (pow (sin y) 2)))) (/ 1 (* x (sin y)))) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (* (pow x 3) (pow (sin y) 3))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (* (pow x 4) (pow (sin y) 4)))) (* -1 (/ (pow (cos y) 2) (* (pow x 3) (pow (sin y) 3)))))) (/ (cos y) (* (pow x 2) (pow (sin y) 2))))) (/ 1 (* x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 4 binary64)))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) z (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
z |
z |
z |
z |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(+ (* x (sin y)) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) |
(log z) |
(log.f64 z) |
(log z) |
(log.f64 z) |
(log z) |
(log.f64 z) |
(log z) |
(log.f64 z) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ -1 (cos y)) |
(/.f64 #s(literal -1 binary64) (cos.f64 y)) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(- (/ (* x (sin y)) (* z (pow (cos y) 2))) (/ 1 (cos y))) |
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(/ 1 (* z (cos y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(/ 1 (* z (cos y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/ (+ (* -1 (/ (* x (sin y)) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(/ (- (+ (/ 1 (cos y)) (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2)))) z) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z)) z) |
(/ (- (+ (* -1 (/ (* (pow x 3) (pow (sin y) 3)) (* (pow z 3) (pow (cos y) 4)))) (/ 1 (cos y))) (+ (* -1 (/ (* (pow x 2) (pow (sin y) 2)) (* (pow z 2) (pow (cos y) 3)))) (/ (* x (sin y)) (* z (pow (cos y) 2))))) z) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 (cos.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 x) x) z) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))))) z))) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (+ (cos y) (/ (* x (sin y)) z))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) z) x (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) z) |
(* z (- (* 1/24 (pow y 2)) 1/2)) |
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(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (/ (* x y) (pow z 2))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)) |
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z)))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)) z) |
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z)))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)) z) |
(* x (+ (* -1 (/ y (pow z 2))) (/ 1 (* x z)))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(/ (+ (* -1 (/ (* z (cos y)) (* x (pow (sin y) 2)))) (/ 1 (sin y))) x) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(/ (- (+ (/ 1 (sin y)) (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2)))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(/ (- (+ (* -1 (/ (* (pow z 3) (pow (cos y) 3)) (* (pow x 3) (pow (sin y) 4)))) (/ 1 (sin y))) (+ (* -1 (/ (* (pow z 2) (pow (cos y) 2)) (* (pow x 2) (pow (sin y) 3)))) (/ (* z (cos y)) (* x (pow (sin y) 2))))) x) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (+ (sin y) (/ (* z (cos y)) x))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* x (sin y)) (* z (pow (cos y) 2))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(* -1 (* x (+ (* -1 (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (* x (cos y)))))) |
(fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(* -1 (/ (* x (sin y)) (* (pow z 2) (pow (cos y) 2)))) |
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 z) z)) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* -1 (* x (- (/ (sin y) (* (pow z 2) (pow (cos y) 2))) (/ 1 (* x (* z (cos y))))))) |
(/.f64 (fma.f64 (/.f64 (sin.f64 y) z) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z z) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x))) x))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (/ (* x y) (pow z 2))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z)) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)) z) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)) z) |
(* -1 (* x (- (/ y (pow z 2)) (/ 1 (* x z))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y z) #s(literal 1 binary64)) z) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ 1 (* x (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) |
(* -1 (/ (- (/ (* z (cos y)) (* x (pow (sin y) 2))) (/ 1 (sin y))) x)) |
(/.f64 (fma.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (cos.f64 y) x) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow z 2) (pow (cos y) 2)) (* x (pow (sin y) 3))) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z) x) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow z 3) (pow (cos y) 3)) (* x (pow (sin y) 4))) (/ (* (pow z 2) (pow (cos y) 2)) (pow (sin y) 3))) x)) (/ (* z (cos y)) (pow (sin y) 2))) x)) (/ 1 (sin y))) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) z (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 z z) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal 4 binary64)) x))) x))) x) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(* -1 (* x (+ (* -1 (sin y)) (* -1 (/ (* z (cos y)) x))))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (sin.f64 y)) x) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow (cos y) 2)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(/ x (pow z 2)) |
(/.f64 x (*.f64 z z)) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 326 |
| 0 | 81 | 316 |
| 1 | 272 | 316 |
| 2 | 1895 | 310 |
| 0 | 8120 | 305 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) |
(/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) z) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
#s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z)) |
(fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z) |
(*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) |
(fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) |
(neg.f64 y) |
(exp.f64 (log.f64 z)) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(log.f64 z) |
(pow.f64 (cos.f64 y) #s(literal 2 binary64)) |
(/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) |
#s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y))) |
(/.f64 x (*.f64 z z)) |
(*.f64 (sin.f64 y) x) |
| Outputs |
|---|
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Compiled 23 842 to 2 847 computations (88.1% saved)
34 alts after pruning (28 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 149 | 8 | 1 157 |
| Fresh | 1 | 20 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 153 | 34 | 1 187 |
| Status | Accuracy | Program |
|---|---|---|
| 64.7% | (fma.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) x (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) | |
| 46.7% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) | |
| 50.9% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) | |
| 59.6% | (fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) | |
| ✓ | 99.9% | (fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
| ✓ | 49.7% | (fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
| 52.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 48.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))) | |
| 36.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) | |
| 64.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -6 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal -3 binary64))) (*.f64 (neg.f64 z) (fma.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -4 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))))) | |
| 31.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x))) | |
| 64.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) | |
| 39.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))) | |
| 65.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z)) (neg.f64 z)))) | |
| 41.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z))) | |
| 3.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) #s(approx (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))))) | |
| 36.9% | (*.f64 (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) | |
| 48.7% | #s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) | |
| 48.7% | #s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) | |
| 36.7% | #s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (*.f64 (sin.f64 y) x)) | |
| ✓ | 49.9% | #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
| 33.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) | |
| ✓ | 65.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 39.1% | #s(approx (+ (* x (sin y)) (* z (cos 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))) z)) | |
| 38.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| ✓ | 41.2% | #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| 35.5% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) | |
| ✓ | 12.7% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) | |
| 38.6% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) y) y z))) | |
| 39.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) | |
| 39.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y)) z z))) | |
| 39.0% | #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/24 binary64))) (*.f64 y y) z))) | |
| 25.0% | #s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 z z (*.f64 x x)) z)) y x) y z)) |
Compiled 1 592 to 678 computations (57.4% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y)) z z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) #s(approx (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 z z (*.f64 x x)) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 #s(approx (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))) (neg.f64 z)))) |
(*.f64 (neg.f64 #s(approx (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2)) (*.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (neg.f64 (cos.f64 y)) (/.f64 z (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (sin.f64 y))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) (cos.f64 y))) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(approx (+ (* (/ x (pow (cos y) 2)) (/ (sin y) z)) (/ -1 (cos y))) (/.f64 (fma.f64 (sin.f64 y) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 z) (cos.f64 y))) z)) (neg.f64 z)))) |
(fma.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (/.f64 (*.f64 x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) x (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(fma.f64 x (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))))) |
(fma.f64 (/.f64 x (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -2 binary64))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z (cos.f64 y)) (cos.f64 y)) #s(literal -1 binary64)) (/.f64 z (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 x (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (*.f64 (sin.f64 y) x))) (neg.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (/.f64 (*.f64 (cos.f64 y) (*.f64 z (cos.f64 y))) (/.f64 #s(literal -1 binary64) (fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal -6 binary64)) (pow.f64 (neg.f64 (cos.f64 y)) #s(literal -3 binary64))) (*.f64 (neg.f64 z) (fma.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 2 binary64)) (pow.f64 (cos.f64 y) #s(literal -4 binary64)) (-.f64 (pow.f64 (cos.f64 y) #s(literal -2 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64))))))))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
4 calls:
| 22.0ms | x |
| 18.0ms | z |
| 18.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 18.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y)) z z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) #s(approx (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 z z (*.f64 x x)) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* (* x x) (/ (pow (sin y) 2) (+ (* (neg z) (cos y)) (* (sin y) x)))) (neg (/ (pow (* (cos y) z) 2) (+ (* (neg z) (cos y)) (* (sin y) x))))) (*.f64 (sin.f64 y) x)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (*.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
4 calls:
| 35.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 27.0ms | y |
| 10.0ms | z |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 3 | x |
| 78.4% | 5 | y |
| 79.8% | 3 | z |
| 65.0% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y)) z z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) #s(approx (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 z z (*.f64 x x)) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
3 calls:
| 22.0ms | z |
| 9.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 3 | y |
| 69.1% | 3 | x |
| 71.6% | 3 | z |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 (+.f64 (/.f64 z y) x) y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 #s(approx (* z (+ (* 1/24 (* y y)) -1/2)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal 1/24 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 #s(literal 1/24 binary64) (*.f64 y y)))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y)) z z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(approx (+ (* 1/24 (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/24 binary64))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* (sin y) x) (* (cos y) z)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (/ 1 (/ 1 (+ (* x (sin y)) (* z (cos y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (*.f64 (*.f64 z (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64))) y) y z))) |
#s(approx (+ (* x (sin y)) (* z (cos 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))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z x) y z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) #s(approx (+ (* (neg y) (/ x (* z z))) (/ 1 z)) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 x z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x z))) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (* (cos y) z) (fma.f64 (fma.f64 (*.f64 z (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64))) (*.f64 y y) (*.f64 #s(literal -1/2 binary64) z)) (*.f64 y y) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (sin y)) (* z (cos y)))) (fma.f64 (neg.f64 y) (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)))) |
#s(approx (* (neg (- (pow (* (cos y) z) 2) (pow (* (sin y) x) 2))) (/ 1 (neg (- (* (cos y) z) (* (sin y) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) z (/.f64 (*.f64 x x) z)) (/.f64 (fma.f64 z z (*.f64 x x)) z)) y x) y z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
4 calls:
| 85.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 43.0ms | z |
| 8.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 49.9% | 1 | x |
| 49.9% | 1 | z |
| 49.9% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 83.0ms | z |
| 2.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 1 | z |
| 41.2% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 43.3% | 2 | x |
| 41.2% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
4 calls:
| 1.0ms | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.7% | 1 | z |
| 12.7% | 1 | (+.f64 (*.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 12.7% | 1 | y |
| 12.7% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 97.0ms | 8.955211476153799e-98 | 1.4254580971343977e-97 |
| 25.0ms | -4.1186225773723267e-69 | -2.642184952661871e-72 |
| 115.0ms | 192× | 0 | valid |
Compiled 132 to 182 computations (-37.9% saved)
ival-sin: 102.0ms (93% of total)ival-cos: 4.0ms (3.6% of total)ival-mult: 2.0ms (1.8% of total)ival-add: 1.0ms (0.9% 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 | 2.436773689141969e-10 | 3.4270471354713464e-9 |
| 104.0ms | -2659903018058642.0 | -743654338.7288018 |
| 22.0ms | 240× | 0 | valid |
Compiled 312 to 299 computations (4.2% saved)
ival-sin: 7.0ms (43.8% of total)ival-cos: 5.0ms (31.3% of total)ival-mult: 3.0ms (18.8% of total)ival-add: 1.0ms (6.3% 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 |
|---|---|---|
| 126.0ms | 4.8589877327242245e+141 | 8.654417828321716e+147 |
| 13.0ms | 144× | 0 | valid |
Compiled 102 to 149 computations (-46.1% saved)
ival-sin: 4.0ms (41.4% of total)ival-cos: 3.0ms (31% of total)ival-mult: 2.0ms (20.7% of total)ival-add: 1.0ms (10.3% 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 | 48 | 190 |
| 1 | 56 | 190 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(if (<=.f64 z #s(literal -8454495018966373/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2404907604760405/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -750000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 4110347786689739/1208925819614629174706176 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal 5600000000000000160701118149654338597272626237271457284215774690311495357140111012528007796066322677524081488190900430998355223365420175100991242240 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
| Outputs |
|---|
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z)) |
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y))) |
(if (<=.f64 z #s(literal -8454495018966373/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 2404907604760405/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (sin.f64 y) x)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -8454495018966373/124330809102446660538845562036705210025114037699336929360115994223289874253133343883264 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 2404907604760405/19239260838083241802870625048898248928261591440656956380834127638791856333738872368854622194768025215237611323392 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 x (sin.f64 y))) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -750000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 y #s(literal 4110347786689739/1208925819614629174706176 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y x) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -750000000 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 y #s(literal 4110347786689739/1208925819614629174706176 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x y) (*.f64 #s(literal -1/2 binary64) z)) y x) y z)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) (fma.f64 y x z)) |
(if (<=.f64 x #s(literal 5600000000000000160701118149654338597272626237271457284215774690311495357140111012528007796066322677524081488190900430998355223365420175100991242240 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x)))) |
(if (<=.f64 x #s(literal 5600000000000000160701118149654338597272626237271457284215774690311495357140111012528007796066322677524081488190900430998355223365420175100991242240 binary64)) #s(approx (+ (* x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) #s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y)))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 y x))) |
#s(approx (+ (* x (sin y)) (* z (cos y))) #s(approx (+ (* y x) z) (*.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 29 | 21 |
| 2 | 185 | 21 |
| 3 | 1836 | 21 |
| 0 | 8391 | 20 |
| 0 | 639 | 5806 |
| 1 | 2154 | 5567 |
| 2 | 7395 | 5538 |
| 0 | 8140 | 5235 |
| 0 | 109 | 682 |
| 1 | 344 | 678 |
| 2 | 981 | 668 |
| 3 | 2637 | 662 |
| 4 | 4654 | 662 |
| 5 | 6949 | 662 |
| 0 | 8182 | 606 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 159 to 106 computations (33.3% saved)
Compiled 194 to 98 computations (49.5% saved)
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