
Time bar (total: 8.3s)
| 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)
| 883.0ms | 8 252× | 0 | valid |
| 1.0ms | 3× | 1 | valid |
| 0.0ms | 1× | 2 | valid |
ival-sin: 237.0ms (38.4% of total)ival-cos: 172.0ms (27.8% of total)ival-add: 119.0ms (19.3% of total)ival-mult: 79.0ms (12.8% of total)ival-true: 7.0ms (1.1% of total)ival-assert: 4.0ms (0.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (+.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 |
| 45.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 11.0ms (36.7% of total)ival-cos: 10.0ms (33.4% of total)ival-add: 5.0ms (16.7% of total)ival-mult: 3.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 334× | sub-neg |
| 294× | cancel-sign-sub-inv |
| 286× | associate-+l- |
| 272× | distribute-rgt-in |
| 236× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 90 |
| 1 | 92 | 82 |
| 2 | 234 | 81 |
| 3 | 588 | 81 |
| 4 | 1029 | 81 |
| 5 | 1414 | 81 |
| 6 | 1696 | 81 |
| 7 | 1888 | 81 |
| 8 | 1995 | 81 |
| 9 | 2055 | 81 |
| 10 | 2069 | 81 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 18 | 9 |
| 2 | 25 | 9 |
| 3 | 27 | 9 |
| 0 | 27 | 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))) |
| 24× | lower-+.f32 |
| 20× | lower-+.f64 |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 10× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 18 | 24 |
| 2 | 25 | 24 |
| 3 | 27 | 24 |
| 0 | 27 | 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 | 0.01171875 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.08984375 | (*.f64 z (cos.f64 y)) |
| 55.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 38.0ms (80% of total)ival-cos: 5.0ms (10.5% of total)ival-add: 2.0ms (4.2% of total)ival-mult: 2.0ms (4.2% 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 z) (/ (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 z) (/ (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 z) (/ (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 (+ x 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 (+ x (+ 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 (+ x (+ z (* y (+ 1 (* -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 (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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 (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.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 (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (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 (+ (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) (* 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 (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 (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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (+ 1 (+ (/ (sin y) x) (/ (* 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 (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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) (* z (cos y))) x)) 1))) (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 (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 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 | z | @ | -inf | ((+ (+ 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 |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 3 160× | lower-*.f64 |
| 3 160× | lower-*.f32 |
| 2 322× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 846 | 633 |
| 3 | 2177 | 631 |
| 4 | 4214 | 631 |
| 5 | 7324 | 631 |
| 0 | 8046 | 578 |
| 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 z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (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)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
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) |
(+ (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) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
| Outputs |
|---|
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (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 z) (/ (sin y) z)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(+.f64 (fma.f64 (cos.f64 y) z (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))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(+.f64 (fma.f64 (cos.f64 y) z (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 z) |
(+.f64 z x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y x) z) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 y x)) |
(+ x (* 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)) (+.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 (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 (* (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)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (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)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (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) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(sin y) |
(sin.f64 y) |
(+ 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 |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(+.f64 (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(+.f64 (sin.f64 y) x) |
| 4 470× | lower-*.f32 |
| 4 468× | lower-*.f64 |
| 4 404× | lower-fma.f64 |
| 4 404× | lower-fma.f32 |
| 2 454× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 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 5 953 to 603 computations (89.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 13 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 261 | 13 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 35.6% | (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (*.f64 (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)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| ▶ | 42.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
| 44.4% | (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 z (cos.f64 y))) | |
| ▶ | 72.9% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| ▶ | 54.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| 57.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) | |
| 60.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| 62.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| 57.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ▶ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 44.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 372 to 266 computations (28.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) | |
| cost-diff | 0 | (*.f64 z (cos.f64 y)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 15 676× | lower-fma.f32 |
| 15 664× | lower-fma.f64 |
| 3 416× | lower-+.f32 |
| 3 406× | lower-+.f64 |
| 2 590× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 266 |
| 0 | 62 | 264 |
| 1 | 100 | 264 |
| 2 | 182 | 262 |
| 3 | 584 | 262 |
| 4 | 2006 | 262 |
| 5 | 4821 | 262 |
| 6 | 6754 | 262 |
| 0 | 8200 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
(-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(*.f64 x x) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
(+.f64 x z) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)))) |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
(fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
(-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
x |
(*.f64 x x) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.23083881837909412 | (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) | |
| accuracy | 3.4999793583020584 | (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 36.55016884057281 | (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.08984375 | (*.f64 z (cos.f64 y)) | |
| accuracy | 23.52860130583275 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| accuracy | 0.19140625 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 28.9878352459965 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 21.682308971607778 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.01171875 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.02734375 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 143.0ms | 256× | 0 | valid |
Compiled 263 to 36 computations (86.3% saved)
ival-add: 18.0ms (31.1% of total)ival-mult: 12.0ms (20.8% of total)ival-pow: 8.0ms (13.8% of total)ival-cos: 6.0ms (10.4% of total)ival-sin: 5.0ms (8.7% of total)const: 4.0ms (6.9% of total)ival-div: 3.0ms (5.2% of total)ival-sub: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (patch (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (patch (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z (sin.f64 y)) (patch (fma.f64 (cos.f64 y) z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<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 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 y) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 (/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | y | @ | -inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (* (cos y) z) (sin y)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3)) |
| 7.0ms | z | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (* (cos y) z) (sin y)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3)) |
| 7.0ms | y | @ | inf | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (* (cos y) z) (sin y)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3)) |
| 7.0ms | y | @ | 0 | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (* (cos y) z) (sin y)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3)) |
| 6.0ms | z | @ | 0 | ((+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (* (cos y) z) (sin y)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3)) |
| 1× | egg-herbie |
| 7 126× | lower-fma.f64 |
| 7 126× | lower-fma.f32 |
| 6 614× | lower-+.f64 |
| 6 614× | lower-+.f32 |
| 5 600× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 977 | 11811 |
| 1 | 3180 | 11277 |
| 0 | 8103 | 10508 |
| 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)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 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)) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (- (+ (/ (* (cos y) (sin y)) (+ (pow x 3) (pow (sin y) 3))) (/ (* (cos y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3)))) (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))) (+ (/ (* (sin y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3))) (/ (pow x 2) (+ (pow x 3) (pow (sin y) 3))))) |
(+ (* z (- (+ (* z (- (/ (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (+ (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (- (+ (/ (* (cos y) (sin y)) (+ (pow x 3) (pow (sin y) 3))) (/ (* (cos y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3)))) (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))) (+ (pow x 3) (pow (sin y) 3))) (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2))))) (+ (/ (* (cos y) (sin y)) (+ (pow x 3) (pow (sin y) 3))) (/ (* (cos y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3))))) (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))) (+ (/ (* (sin y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3))) (/ (pow x 2) (+ (pow x 3) (pow (sin y) 3))))) |
(+ (* z (- (+ (* z (- (+ (* -1 (* z (+ (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (- (/ (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (+ (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (- (+ (/ (* (cos y) (sin y)) (+ (pow x 3) (pow (sin y) 3))) (/ (* (cos y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3)))) (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))) (+ (pow x 3) (pow (sin y) 3))) (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2))))) (+ (pow x 3) (pow (sin y) 3))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (+ (/ (* (cos y) (sin y)) (+ (pow x 3) (pow (sin y) 3))) (/ (* (cos y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3)))) (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))) (+ (pow x 3) (pow (sin y) 3))) (/ (* (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))))) (/ (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3)))) (+ (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (- (+ (/ (* (cos y) (sin y)) (+ (pow x 3) (pow (sin y) 3))) (/ (* (cos y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3)))) (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))) (+ (pow x 3) (pow (sin y) 3))) (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2))))) (+ (/ (* (cos y) (sin y)) (+ (pow x 3) (pow (sin y) 3))) (/ (* (cos y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3))))) (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (pow (+ (pow x 3) (pow (sin y) 3)) 2)))) (+ (/ (* (sin y) (- (sin y) x)) (+ (pow x 3) (pow (sin y) 3))) (/ (pow x 2) (+ (pow x 3) (pow (sin y) 3))))) |
(+ (* (sin y) (- (sin y) x)) (pow x 2)) |
(+ (* z (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (pow x 3) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(pow (sin y) 3) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (/ x z))) (/ (sin y) z))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(/ 1 (* z (cos y))) |
(/ (- (+ (/ 1 (cos y)) (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (/ x (* z (pow (cos y) 2))))) z) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (sin y) (* z (pow (cos y) 2))) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (pow (cos y) 3))) (/ (pow x 2) (* (pow z 2) (pow (cos y) 3)))))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (* (pow z 2) (pow (cos y) 3))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (pow (cos y) 3)) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (+ (/ (* (sin y) (- (sin y) x)) (pow (cos y) 3)) (/ (pow x 2) (pow (cos y) 3))) (+ (* 2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (pow (cos y) 3)) (/ (pow (sin y) 2) (pow (cos y) 3)))))) (pow (cos y) 3)) (+ (/ (pow x 3) (pow (cos y) 4)) (/ (pow (sin y) 3) (pow (cos y) 4))))) (pow z 3))) (+ (/ 1 (cos y)) (+ (/ (sin y) (* z (pow (cos y) 2))) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (pow (cos y) 3))) (/ (pow x 2) (* (pow z 2) (pow (cos y) 3))))))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (* (pow z 2) (pow (cos y) 3))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))))) z) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (pow (cos y) 2)))) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (+ (/ (* (sin y) (- (sin y) x)) (pow z 2)) (+ (/ (pow x 2) (pow z 2)) (pow (cos y) 2)))))) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (+ (/ (* (sin y) (- (sin y) x)) (pow z 2)) (+ (/ (pow x 2) (pow z 2)) (pow (cos y) 2)))))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow x 3) (pow z 3)) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3)))))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* (pow z 3) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (pow (cos y) 3)))))) |
(* (pow z 3) (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (pow z 2))) (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) z)) (+ (/ (* (cos y) (pow (sin y) 2)) (pow z 2)) (+ (/ (* (pow (cos y) 2) (sin y)) z) (+ (/ (pow (sin y) 3) (pow z 3)) (pow (cos y) 3))))))) |
(* 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 |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x 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))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ 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)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (* -1 (/ (- (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (pow (cos y) 3))) (+ (* -2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 3)))))) z))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (* z (pow (cos y) 3)))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (pow (cos y) 3))) (+ (* -2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 3))))))) (* z (pow (cos y) 3)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (pow (cos y) 3))) (+ (/ (pow x 3) (* z (pow (cos y) 4))) (/ (pow (sin y) 3) (* z (pow (cos y) 4))))))) (+ (* -2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 3)))))) z))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (+ (* -1 (* (cos y) (- (sin y) x))) (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) z)))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (+ (* -1 (* (cos y) (- (sin y) x))) (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) z)))) z)) (pow (cos y) 2))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (+ (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (pow (sin y) 3) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
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(+ x z) |
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(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
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1 |
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(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
x |
(+ x y) |
(+ x y) |
(+ 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)))))) |
(/ (+ (pow x 3) (pow z 3)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (pow z 2) (+ (* z (- z x)) (pow x 2)))) (/ (* (+ (pow x 3) (pow z 3)) (- (* 2 z) x)) (pow (+ (* z (- z x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* z (- z x)) (pow x 2))) (/ (pow z 3) (+ (* z (- z x)) (pow x 2))))) |
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(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
| Outputs |
|---|
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(+.f64 (fma.f64 (cos.f64 y) z (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) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64)))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))) x) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x) |
(/.f64 (+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) #s(literal 1 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(/.f64 (-.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) (*.f64 x x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))) |
| 4 190× | lower-*.f32 |
| 4 184× | lower-*.f64 |
| 4 034× | lower-/.f32 |
| 4 030× | lower-/.f64 |
| 3 460× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 221 |
| 0 | 62 | 219 |
| 1 | 292 | 217 |
| 2 | 2400 | 217 |
| 0 | 8350 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
| Outputs |
|---|
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Compiled 47 139 to 3 707 computations (92.1% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 313 | 22 | 1 335 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 322 | 26 | 1 348 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
| 72.9% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| 60.6% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 13.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) | |
| ▶ | 44.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
| 40.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 54.1% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
| 54.6% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) | |
| 87.8% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) | |
| 88.6% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| 44.6% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (cos.f64 y) z)) | |
| 55.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| 35.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) | |
| ▶ | 54.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
| 51.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| 32.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| ▶ | 62.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
| 57.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 30.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 48.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) | |
| 26.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) | |
| 46.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 60.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 54.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
Compiled 632 to 512 computations (19% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| cost-diff | 0 | (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| cost-diff | 128 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (+.f64 (+.f64 y x) z) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| cost-diff | 896 | (fma.f64 (/.f64 (sin.f64 y) x) x x) |
| 19 796× | lower-fma.f32 |
| 19 784× | lower-fma.f64 |
| 3 134× | lower-*.f32 |
| 3 124× | lower-*.f64 |
| 3 106× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 383 |
| 0 | 85 | 383 |
| 1 | 148 | 383 |
| 2 | 256 | 380 |
| 3 | 637 | 374 |
| 4 | 1747 | 374 |
| 5 | 3800 | 374 |
| 6 | 7471 | 374 |
| 0 | 8414 | 357 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(+.f64 z x) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(*.f64 z #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 |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(fma.f64 z (cos.f64 y) #s(approx (+ (sin y) x) (+.f64 x (sin.f64 y)))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) |
#s(approx (+ (sin y) x) (+.f64 x (sin.f64 y))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(+.f64 x (sin.f64 y)) |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 (+.f64 x y) z) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
z |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) y (+.f64 x z))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) y (+.f64 x z)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) y) z) |
(*.f64 z y) |
z |
y |
#s(literal -1/2 binary64) |
(+.f64 z x) |
(+.f64 x z) |
x |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(*.f64 z #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)))) |
(*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) |
z |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z (cos.f64 y))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(cos.f64 y) |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.08984375 | (*.f64 (cos.f64 y) z) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| accuracy | 35.45825642819437 | #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) | |
| accuracy | 0.08984375 | (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.5182120122250835 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 23.52860130583275 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 30.344734645314748 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.03515625 | (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) | |
| accuracy | 28.9878352459965 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) | |
| accuracy | 43.092178526232175 | #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (+.f64 (+.f64 y x) z) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 23.712971736040075 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| accuracy | 0 | #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) | |
| accuracy | 0.02734375 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| accuracy | 0.109375 | (fma.f64 (/.f64 (sin.f64 y) x) x x) | |
| accuracy | 0.12109375 | (/.f64 (sin.f64 y) x) |
| 129.0ms | 256× | 0 | valid |
Compiled 264 to 52 computations (80.3% saved)
ival-mult: 26.0ms (24.9% of total)ival-sin: 22.0ms (21.1% of total)ival-add: 21.0ms (20.1% of total)ival-pow: 11.0ms (10.5% of total)const: 9.0ms (8.6% of total)ival-div: 6.0ms (5.8% of total)ival-cos: 6.0ms (5.8% of total)ival-sub: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (sin.f64 y) x) x x) (patch (fma.f64 (/.f64 (sin.f64 y) x) x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) (patch #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) (patch #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) (patch (*.f64 (*.f64 z y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #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>) () ()) |
| Outputs |
|---|
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.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))) (+.f64 (+.f64 y x) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.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))) (+.f64 (+.f64 y x) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.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))) (+.f64 (+.f64 y x) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) #<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 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) #<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 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) (patch (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 y x)) (patch #s(approx (+ x (sin y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | -inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/ 1 (* (cos y) z)) (* (cos y) z) (/ (sin y) x) (* z y) (cos y) (+ (* -1/720 (* y y)) 1/24)) |
| 3.0ms | y | @ | inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/ 1 (* (cos y) z)) (* (cos y) z) (/ (sin y) x) (* z y) (cos y) (+ (* -1/720 (* y y)) 1/24)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/ 1 (* (cos y) z)) (* (cos y) z) (/ (sin y) x) (* z y) (cos y) (+ (* -1/720 (* y y)) 1/24)) |
| 2.0ms | z | @ | 0 | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/ 1 (* (cos y) z)) (* (cos y) z) (/ (sin y) x) (* z y) (cos y) (+ (* -1/720 (* y y)) 1/24)) |
| 2.0ms | z | @ | inf | ((+ (* (/ (sin y) x) x) x) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (sin y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (* (* z y) -1/2) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/ 1 (* (cos y) z)) (* (cos y) z) (/ (sin y) x) (* z y) (cos y) (+ (* -1/720 (* y y)) 1/24)) |
| 1× | egg-herbie |
| 7 846× | lower-fma.f64 |
| 7 846× | lower-fma.f32 |
| 6 288× | lower-+.f64 |
| 6 288× | lower-+.f32 |
| 5 542× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 837 | 10276 |
| 1 | 2634 | 9881 |
| 0 | 8244 | 9263 |
| 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)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(* -1/2 (* y z)) |
(+ 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)) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
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(* -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)) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ (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) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ (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) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (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)) |
(+ 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) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z 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)) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z (+.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(+ 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) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (*.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
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(/ 1 (+ (sin y) (* z (cos y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) |
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(fma.f64 (-.f64 (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (/.f64 x (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 4 binary64)))) x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 x x))) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))) x) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x) |
(/.f64 (+.f64 (-.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) #s(literal 1 binary64)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 z y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 z y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 z y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal 1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (-.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
| 5 568× | lower-*.f32 |
| 5 558× | lower-*.f64 |
| 4 436× | lower-fma.f32 |
| 4 424× | lower-fma.f64 |
| 3 262× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 323 |
| 0 | 85 | 323 |
| 1 | 402 | 323 |
| 2 | 3246 | 320 |
| 0 | 8886 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(cos.f64 y) |
#s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
(fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x)) |
#s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 z y) #s(literal -1/2 binary64)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ x (sin y)) (+.f64 y x)) |
(*.f64 z #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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(/.f64 (sin.f64 y) x) |
(*.f64 z y) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
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Compiled 18 763 to 1 889 computations (89.9% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 826 | 14 | 840 |
| Fresh | 2 | 17 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 831 | 35 | 866 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 72.9% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| 60.6% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 54.1% | (fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) | |
| 82.8% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| 13.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) | |
| 44.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)))) | |
| ✓ | 44.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
| ▶ | 26.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
| 26.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) | |
| ▶ | 26.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
| 40.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) | |
| 26.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) | |
| 28.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) | |
| 54.6% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| 54.1% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (*.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) | |
| ▶ | 87.8% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) |
| 44.6% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (cos.f64 y) z)) | |
| ▶ | 55.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| 35.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) | |
| ✓ | 54.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
| 51.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| 32.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 41.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) z)) | |
| 57.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 31.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 z y))) | |
| ▶ | 37.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
| 40.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) | |
| 30.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 48.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) | |
| 26.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) | |
| 46.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 60.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| 54.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
Compiled 993 to 727 computations (26.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) | |
| cost-diff | 0 | #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| 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 | (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) | |
| cost-diff | 0 | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) | |
| cost-diff | 1536 | (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) | |
| cost-diff | 7488 | (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) |
| 15 406× | lower-fma.f32 |
| 15 392× | lower-fma.f64 |
| 2 974× | lower-*.f32 |
| 2 964× | lower-*.f64 |
| 2 916× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 617 |
| 0 | 97 | 617 |
| 1 | 169 | 617 |
| 2 | 322 | 615 |
| 3 | 887 | 603 |
| 4 | 2618 | 593 |
| 5 | 6015 | 589 |
| 0 | 8124 | 561 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) |
(-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) |
(+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) |
(fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(/.f64 x z) |
x |
(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))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
#s(literal 1 binary64) |
(+.f64 z x) |
z |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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(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(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) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
z |
| Outputs |
|---|
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) |
(fma.f64 z (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) |
(+.f64 (+.f64 (/.f64 x z) (/.f64 (sin.f64 y) z)) (cos.f64 y)) |
(+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) |
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (cos.f64 y)) (/.f64 x z)) |
(fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(/.f64 x z) |
x |
(cos.f64 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))) |
#s(approx (+ (+ y x) z) (+.f64 y x)) |
#s(approx (+ (+ y x) z) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) |
(*.f64 #s(literal -1/6 binary64) y) |
#s(literal -1/6 binary64) |
y |
#s(literal 1 binary64) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 y y) |
y |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)))))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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))) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 (/.f64 #s(literal 1 binary64) z) #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))))) |
(/.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1 binary64) z) #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)))) |
(*.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) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
#s(literal -1/720 binary64) |
(*.f64 y y) |
y |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) | |
| accuracy | 0.5182120122250835 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 30.344734645314748 | #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 35.45825642819437 | #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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))) | |
| accuracy | 0.08984375 | (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) | |
| accuracy | 30.440028428951067 | #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 35.45825642819437 | #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))) | |
| accuracy | 0.0546875 | (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) | |
| accuracy | 0.375 | (*.f64 #s(literal -1/6 binary64) y) | |
| accuracy | 28.9878352459965 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| accuracy | 32.92998092935248 | #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 23.58884810498126 | #s(approx (+ (+ y x) z) (+.f64 y x)) | |
| accuracy | 23.712971736040075 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) | |
| accuracy | 0.017910009768442016 | (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) | |
| accuracy | 0.03125 | (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) | |
| accuracy | 0.09375 | (/.f64 (sin.f64 y) z) | |
| accuracy | 7.7990993022865185 | (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) |
| 210.0ms | 256× | 0 | valid |
Compiled 419 to 55 computations (86.9% saved)
ival-mult: 52.0ms (27.8% of total)ival-div: 37.0ms (19.8% of total)ival-add: 37.0ms (19.8% of total)const: 37.0ms (19.8% of total)ival-pow: 8.0ms (4.3% of total)ival-cos: 7.0ms (3.7% of total)ival-sin: 5.0ms (2.7% of total)ival-sub: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) (patch (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) (patch (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) (patch #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (patch (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.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))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) (patch (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) (patch #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (patch (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/6 binary64) y) (patch (*.f64 #s(literal -1/6 binary64) y) #<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>) () ()) |
| Outputs |
|---|
#s(alt (/ (- (+ x (* 2 (sin y))) (sin y)) z) (taylor 0 z) (#s(alt (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) (patch (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) (taylor 0 z) (#s(alt (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) (patch (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) (taylor 0 z) (#s(alt (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) (patch (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) (taylor 0 z) (#s(alt (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) (patch (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 2 (sin y))) (sin y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) (patch (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) (patch (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) (patch (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) (taylor 0 z) (#s(alt (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) (patch (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) (patch #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) (patch #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) (patch #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (taylor 0 z) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) (patch #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* 2 (sin y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (patch (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* 2 (sin y)) (* z (cos y)))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (patch (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* 2 (sin y)) (* z (cos y)))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (patch (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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))) (patch #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (patch (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (patch (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (patch (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (patch (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | 0 | ((- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ (sin y) z) (+ (* (/ (sin y) z) 2) (/ x z)) (* -1/6 y) (+ (* -1/720 (* y y)) 1/24)) |
| 5.0ms | z | @ | -inf | ((- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ (sin y) z) (+ (* (/ (sin y) z) 2) (/ x z)) (* -1/6 y) (+ (* -1/720 (* y y)) 1/24)) |
| 5.0ms | x | @ | 0 | ((- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ (sin y) z) (+ (* (/ (sin y) z) 2) (/ x z)) (* -1/6 y) (+ (* -1/720 (* y y)) 1/24)) |
| 4.0ms | y | @ | inf | ((- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ (sin y) z) (+ (* (/ (sin y) z) 2) (/ x z)) (* -1/6 y) (+ (* -1/720 (* y y)) 1/24)) |
| 4.0ms | y | @ | -inf | ((- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (+ (+ x (sin y)) (* z (cos y))) (+ (+ y x) z) (+ y x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (* (cos y) z) (cos y) (/ (sin y) z) (+ (* (/ (sin y) z) 2) (/ x z)) (* -1/6 y) (+ (* -1/720 (* y y)) 1/24)) |
| 1× | egg-herbie |
| 7 490× | lower-fma.f64 |
| 7 490× | lower-fma.f32 |
| 6 670× | lower-+.f64 |
| 6 670× | lower-+.f32 |
| 5 118× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 920 | 20171 |
| 1 | 2902 | 19244 |
| 0 | 8075 | 18019 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (+ x (* 2 (sin y))) (sin y)) z) |
(/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) |
(/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) |
(/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) |
(- (+ x (* 2 (sin y))) (sin y)) |
(- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) |
(- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) |
(- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(/ (+ x (* 2 (sin y))) z) |
(/ (+ x (+ (* 2 (sin y)) (* z (cos y)))) z) |
(/ (+ x (+ (* 2 (sin y)) (* z (cos y)))) z) |
(/ (+ x (+ (* 2 (sin y)) (* z (cos y)))) z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
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(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(/ 1 (* z (cos y))) |
(/ (- (+ (/ 1 (cos y)) (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (/ x (* z (pow (cos y) 2))))) z) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (sin y) (* z (pow (cos y) 2))) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (pow (cos y) 3))) (/ (pow x 2) (* (pow z 2) (pow (cos y) 3)))))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (* (pow z 2) (pow (cos y) 3))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (pow (cos y) 3)) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (+ (/ (* (sin y) (- (sin y) x)) (pow (cos y) 3)) (/ (pow x 2) (pow (cos y) 3))) (+ (* 2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (pow (cos y) 3)) (/ (pow (sin y) 2) (pow (cos y) 3)))))) (pow (cos y) 3)) (+ (/ (pow x 3) (pow (cos y) 4)) (/ (pow (sin y) 3) (pow (cos y) 4))))) (pow z 3))) (+ (/ 1 (cos y)) (+ (/ (sin y) (* z (pow (cos y) 2))) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (pow (cos y) 3))) (/ (pow x 2) (* (pow z 2) (pow (cos y) 3))))))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (* (pow z 2) (pow (cos y) 3))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))))) z) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (/ x z))) (/ (sin y) z))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(/ 1 (* z (cos y))) |
(/ (- (+ (/ 1 (cos y)) (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (/ x (* z (pow (cos y) 2))))) z) |
(/ (- (+ (/ 1 (cos y)) (+ (/ (sin y) (* z (pow (cos y) 2))) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (pow (cos y) 3))) (/ (pow x 2) (* (pow z 2) (pow (cos y) 3)))))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (* (pow z 2) (pow (cos y) 3))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))))) z) |
(/ (- (+ (* -1 (/ (+ (/ (* (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (pow (cos y) 3)) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (+ (/ (* (sin y) (- (sin y) x)) (pow (cos y) 3)) (/ (pow x 2) (pow (cos y) 3))) (+ (* 2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (pow (cos y) 3)) (/ (pow (sin y) 2) (pow (cos y) 3)))))) (pow (cos y) 3)) (+ (/ (pow x 3) (pow (cos y) 4)) (/ (pow (sin y) 3) (pow (cos y) 4))))) (pow z 3))) (+ (/ 1 (cos y)) (+ (/ (sin y) (* z (pow (cos y) 2))) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (pow (cos y) 3))) (/ (pow x 2) (* (pow z 2) (pow (cos y) 3))))))) (+ (* 2 (/ (sin y) (* z (pow (cos y) 2)))) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (/ (sin y) (pow (cos y) 2)) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ x (pow (cos y) 2))))) (* (pow z 2) (pow (cos y) 3))) (/ (pow (sin y) 2) (* (pow z 2) (pow (cos y) 3)))))))) z) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (+ x (* 2 (sin y))) z) |
(/ (+ x (* 2 (sin y))) z) |
(/ (+ x (* 2 (sin y))) z) |
(/ (+ x (* 2 (sin y))) z) |
(cos y) |
(+ (cos y) (* -1 (/ (- (+ (* -2 (sin y)) (* -1 x)) (* -1 (sin y))) z))) |
(+ (cos y) (* -1 (/ (- (+ (* -2 (sin y)) (* -1 x)) (* -1 (sin y))) z))) |
(+ (cos y) (* -1 (/ (- (+ (* -2 (sin y)) (* -1 x)) (* -1 (sin y))) z))) |
(* z (cos y)) |
(* -1 (* z (- (+ (* -2 (/ (sin y) z)) (+ (* -1 (cos y)) (* -1 (/ x z)))) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (+ (* -2 (/ (sin y) z)) (+ (* -1 (cos y)) (* -1 (/ x z)))) (* -1 (/ (sin y) z))))) |
(* -1 (* z (- (+ (* -2 (/ (sin y) z)) (+ (* -1 (cos y)) (* -1 (/ x z)))) (* -1 (/ (sin y) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(cos y) |
(+ (cos y) (* -1 (/ (+ (* -2 (sin y)) (* -1 x)) z))) |
(+ (cos y) (* -1 (/ (+ (* -2 (sin y)) (* -1 x)) z))) |
(+ (cos y) (* -1 (/ (+ (* -2 (sin y)) (* -1 x)) 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 |
(* -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))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (* -1 (/ (- (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (pow (cos y) 3))) (+ (* -2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 3)))))) z))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (* z (pow (cos y) 3)))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (pow (cos y) 3))) (+ (* -2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 3))))))) (* z (pow (cos y) 3)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (pow (cos y) 3))) (+ (/ (pow x 3) (* z (pow (cos y) 4))) (/ (pow (sin y) 3) (* z (pow (cos y) 4))))))) (+ (* -2 (/ (pow (sin y) 2) (pow (cos y) 3))) (+ (* -1 (/ (* (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) (- (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (pow (cos y) 3))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2))))) (pow (cos y) 3))) (* -1 (/ (pow (sin y) 2) (pow (cos y) 3)))))) z))) (+ (* 2 (/ (sin y) (pow (cos y) 2))) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (+ (* -1 (/ (- (+ (/ (pow x 3) (pow (cos y) 2)) (/ (pow (sin y) 3) (pow (cos y) 2))) (+ (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2))))) (pow (cos y) 2)) (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* -1 (/ (pow (sin y) 2) (cos y))))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
(/ 1 (* z (cos y))) |
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(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(/ x z) |
(* x (+ (* 2 (/ (sin y) (* x z))) (+ (/ 1 z) (/ (cos y) x)))) |
(* x (+ (* 2 (/ (sin y) (* x z))) (+ (/ 1 z) (/ (cos y) x)))) |
(* x (+ (* 2 (/ (sin y) (* x z))) (+ (/ 1 z) (/ (cos y) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))) x) |
(/ (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) x) |
(/ x z) |
(* x (+ (* 2 (/ (sin y) (* x z))) (/ 1 z))) |
(* x (+ (* 2 (/ (sin y) (* x z))) (/ 1 z))) |
(* x (+ (* 2 (/ (sin y) (* x z))) (/ 1 z))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z)) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z)) x)) (/ 1 z)))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* 2 (/ (sin y) z))) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* 2 (/ (sin y) z))) x)) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* 2 (/ (sin y) z))) x)) (/ 1 z)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
(/ x z) |
(* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) |
| Outputs |
|---|
(/ (- (+ x (* 2 (sin y))) (sin y)) z) |
(/.f64 (-.f64 (fma.f64 (sin.f64 y) #s(literal 2 binary64) x) (sin.f64 y)) z) |
(/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) |
(/.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)) z) |
(/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) |
(/.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)) z) |
(/ (- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) z) |
(/.f64 (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)) z) |
(- (+ x (* 2 (sin y))) (sin y)) |
(-.f64 (fma.f64 (sin.f64 y) #s(literal 2 binary64) x) (sin.f64 y)) |
(- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) |
(-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)) |
(- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) |
(-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)) |
(- (+ x (+ (* 2 (sin y)) (* z (cos y)))) (sin y)) |
(-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (cos.f64 y) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (*.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
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1 |
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(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z)) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) #s(literal -1 binary64) (/.f64 (sin.f64 y) z)) x) (/.f64 #s(literal 1 binary64) z))) |
(* -1 (* x (- (* -1 (/ (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z)) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) #s(literal -1 binary64) (/.f64 (sin.f64 y) z)) x) (/.f64 #s(literal 1 binary64) z))) |
x |
(* -1 (* x (- (* -1 (/ (* z (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) z)) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) z)) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (* z (- (+ (cos y) (* 2 (/ (sin y) z))) (/ (sin y) z))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (neg.f64 z) (/.f64 (-.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) (/.f64 (sin.f64 y) z)) x) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* 2 (/ (sin y) z))) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* 2 (/ (sin y) z))) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
(* -1 (* x (- (* -1 (/ (+ (cos y) (* 2 (/ (sin y) z))) x)) (/ 1 z)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (cos.f64 y)) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 z y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 z y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (+.f64 z y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y z) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(/.f64 (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(/.f64 (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (+ (sin y) (* z (cos y)))) (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (/ (pow (+ (sin y) (* z (cos y))) 3) x)) x))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) z))) |
(* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) z))) |
(* -1 (* x (- (* -2 (/ (sin y) (* x z))) (/ 1 z)))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (sin.f64 y) z) (/.f64 #s(literal -1 binary64) z))) |
| 4 312× | lower-*.f32 |
| 4 302× | lower-*.f64 |
| 4 170× | lower-fma.f32 |
| 4 156× | lower-fma.f64 |
| 4 058× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 511 |
| 0 | 97 | 511 |
| 1 | 453 | 509 |
| 2 | 3802 | 509 |
| 0 | 9613 | 483 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) |
(+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x 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) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
#s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
#s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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(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) |
#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))) |
(/.f64 (sin.f64 y) z) |
(fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) |
(*.f64 #s(literal -1/6 binary64) y) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
| Outputs |
|---|
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Compiled 34 046 to 2 993 computations (91.2% saved)
37 alts after pruning (30 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 054 | 9 | 1 063 |
| Fresh | 5 | 21 | 26 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 061 | 37 | 1 098 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 72.9% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| 60.6% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 54.1% | (fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) | |
| 82.8% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) | |
| 44.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)))) | |
| ✓ | 44.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
| 26.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) | |
| 26.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) | |
| ✓ | 26.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
| 40.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) | |
| 26.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) | |
| 28.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) | |
| 54.6% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| 57.6% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) (+.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) (/.f64 (sin.f64 y) z)) (pow.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) #s(literal 2 binary64))))) | |
| 65.6% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))) z) (+.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) (/.f64 (sin.f64 y) z)))) | |
| 44.6% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (cos.f64 y) z)) | |
| 28.4% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) | |
| 57.0% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) #s(approx (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (-.f64 (fma.f64 (sin.f64 y) #s(literal 2 binary64) x) (sin.f64 y)))) | |
| 99.9% | #s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) #s(approx (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)))) | |
| ✓ | 55.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| 35.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) | |
| ✓ | 54.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
| 51.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) | |
| 32.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 57.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| ✓ | 66.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 19.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) | |
| 19.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))) | |
| 31.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 z y))) | |
| ✓ | 37.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
| 40.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) | |
| 30.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 48.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) | |
| 26.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) | |
| 46.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) | |
| 60.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
Compiled 1 489 to 677 computations (54.5% 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) z)) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #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))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
#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)) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) #s(approx (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (-.f64 (fma.f64 (sin.f64 y) #s(literal 2 binary64) x) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (cos.f64 y)))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) #s(approx (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (-.f64 (fma.f64 (cos.f64 y) z (fma.f64 (sin.f64 y) #s(literal 2 binary64) x)) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64) (/.f64 x z)) (cos.f64 y)) (/.f64 (sin.f64 y) z)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (*.f64 (*.f64 z z) (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 2 binary64))) z) (+.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) (/.f64 (sin.f64 y) z)))) |
(+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))))) (*.f64 z (cos.f64 y))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (*.f64 (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)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) z) #s(literal 3 binary64))) z) (fma.f64 (/.f64 (sin.f64 y) z) (+.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) (/.f64 (sin.f64 y) z)) (pow.f64 (+.f64 (cos.f64 y) (fma.f64 #s(literal 2 binary64) (/.f64 (sin.f64 y) z) (/.f64 x z))) #s(literal 2 binary64))))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (*.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
4 calls:
| 37.0ms | y |
| 33.0ms | x |
| 18.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 16.0ms | z |
| 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) z)) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #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))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
#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)) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) #s(approx (* (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) z) (-.f64 (fma.f64 (sin.f64 y) #s(literal 2 binary64) x) (sin.f64 y)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
4 calls:
| 14.0ms | x |
| 14.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | z |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 3 | x |
| 89.9% | 4 | y |
| 93.6% | 3 | z |
| 90.4% | 3 | (+.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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) z)) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #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))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
#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)) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
3 calls:
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 12.0ms | x |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 6 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 78.6% | 4 | x |
| 91.4% | 4 | z |
Compiled 11 to 14 computations (-27.3% 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) z)) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #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))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
#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)) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.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))) (+.f64 z x)) |
#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)) |
2 calls:
| 12.0ms | z |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 5 | y |
| 89.8% | 4 | z |
Compiled 2 to 6 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) z)) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #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))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
3 calls:
| 12.0ms | y |
| 11.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.7% | 3 | y |
| 82.8% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 80.9% | 3 | z |
Compiled 11 to 14 computations (-27.3% 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (fma.f64 (/.f64 z y) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (*.f64 y y))) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))) z)) |
(fma.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #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)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #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))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y y) z) (/.f64 #s(literal 1 binary64) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) #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))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 y (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) z (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) x) (/.f64 z x)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x) z) #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 y y) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(approx (+ (* -1/720 (* y y)) 1/24) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) (*.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)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
4 calls:
| 15.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | x |
| 11.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 3 | x |
| 70.2% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.1% | 1 | z |
| 70.5% | 3 | 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) #s(approx (/ 1 (* (cos y) z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 3 | y |
Compiled 1 to 3 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | y |
Compiled 1 to 3 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) z))) |
#s(approx (/ 1 (/ (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)))) (*.f64 #s(approx (- (+ (+ (* (/ (sin y) z) 2) (/ x z)) (cos y)) (/ (sin y) z)) (/.f64 x z)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 x z) z z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (*.f64 (*.f64 z y) #s(literal -1/2 binary64))) y (+.f64 z x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 4.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.0% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 70.1% | 3 | y |
Compiled 10 to 11 computations (-10% 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 1 | x |
| 66.1% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.1% | 1 | y |
Compiled 11 to 14 computations (-27.3% 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))) #s(approx (+ (+ y x) z) (+.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 z 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 z y))) |
4 calls:
| 2.0ms | x |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 3 | z |
| 50.5% | 3 | x |
| 41.2% | 2 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 41.6% | 3 | 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:
| 2.0ms | z |
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.4% | 1 | y |
| 37.4% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 37.4% | 1 | x |
| 37.4% | 1 | z |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3913869.46126031 | 1031470902.7145107 |
| 5.0ms | -9.731840819490772e+125 | -8.664760406438655e+125 |
| 14.0ms | 158× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 206 to 202 computations (1.9% saved)
ival-sin: 4.0ms (41.2% of total)ival-cos: 3.0ms (30.9% of total)ival-add: 1.0ms (10.3% of total)ival-mult: 1.0ms (10.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.148459734042343e-59 | 8.182693122451607e-59 |
| 15.0ms | -1.188506894306838e-72 | -4.472311265661377e-74 |
| 0.0ms | -9.731840819490772e+125 | -8.664760406438655e+125 |
| 18.0ms | 192× | 0 | valid |
Compiled 158 to 206 computations (-30.4% saved)
ival-cos: 5.0ms (38.5% of total)ival-sin: 5.0ms (38.5% of total)ival-add: 2.0ms (15.4% of total)ival-mult: 1.0ms (7.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1031470902.7145107 | 265361951242.38174 |
| 1.0ms | -1.188506894306838e-72 | -4.472311265661377e-74 |
| 0.0ms | -9.731840819490772e+125 | -8.664760406438655e+125 |
| 10.0ms | 128× | 0 | valid |
Compiled 173 to 243 computations (-40.5% saved)
ival-sin: 3.0ms (41.2% of total)ival-cos: 2.0ms (27.5% of total)ival-add: 1.0ms (13.7% of total)ival-mult: 1.0ms (13.7% 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 |
|---|---|---|
| 15.0ms | 1.0947237619248264e-20 | 5.0611985280827857e-14 |
| 12.0ms | -0.0037091611966609825 | -0.0005546539620789807 |
| 15.0ms | 240× | 0 | valid |
Compiled 372 to 344 computations (7.5% saved)
ival-sin: 4.0ms (42.4% of total)ival-add: 2.0ms (21.2% of total)ival-cos: 2.0ms (21.2% of total)ival-mult: 2.0ms (21.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.6954080075576405e+35 | 1.1510864248038466e+38 |
| 22.0ms | -9885198.601215344 | -0.0037091611966609825 |
| 29.0ms | 272× | 0 | valid |
Compiled 335 to 337 computations (-0.6% saved)
ival-sin: 10.0ms (44.1% of total)ival-cos: 8.0ms (35.3% of total)ival-add: 3.0ms (13.2% of total)ival-mult: 2.0ms (8.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.2941157655748497e+20 | 2.7943838928565405e+21 |
| 1.0ms | -9885198.601215344 | -0.0037091611966609825 |
| 13.0ms | 112× | 0 | valid |
Compiled 268 to 286 computations (-6.7% saved)
ival-sin: 5.0ms (47.3% of total)ival-cos: 3.0ms (28.4% of total)ival-add: 1.0ms (9.5% of total)ival-mult: 1.0ms (9.5% 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 |
|---|---|---|
| 1.0ms | 1.6954080075576405e+35 | 1.1510864248038466e+38 |
| 20.0ms | -18286706951.571503 | -9885198.601215344 |
| 15.0ms | 128× | 0 | valid |
Compiled 284 to 302 computations (-6.3% saved)
ival-sin: 5.0ms (47.7% of total)ival-cos: 4.0ms (38.2% of total)ival-add: 1.0ms (9.5% of total)ival-mult: 1.0ms (9.5% 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 |
|---|---|---|
| 21.0ms | 2.940209451048341e+116 | 2.9081083749945615e+122 |
| 17.0ms | -18286706951.571503 | -9885198.601215344 |
| 28.0ms | 256× | 0 | valid |
Compiled 182 to 235 computations (-29.1% saved)
ival-sin: 9.0ms (41.2% of total)ival-cos: 7.0ms (32% of total)ival-add: 3.0ms (13.7% of total)ival-mult: 2.0ms (9.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.0072322979919457e+58 | 2.516224504428137e+62 |
| 15.0ms | -1.3068112936162502e+48 | -2.1176350136309103e+46 |
| 21.0ms | 240× | 0 | valid |
Compiled 162 to 224 computations (-38.3% saved)
ival-sin: 5.0ms (32.6% of total)ival-add: 4.0ms (26.1% of total)ival-cos: 4.0ms (26.1% of total)ival-mult: 2.0ms (13% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | +-commutative-binary64-+.f64 |
| 10× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 575 |
| 1 | 127 | 575 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 1020000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -8912032396463377/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 565391060729083/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))))) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -8912032396463377/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 11200000000 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 -2132904783522667/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -1050 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 170000000000000005735768827686289408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -1050 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 132000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -15600000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 170000000000000005735768827686289408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -4600000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 295000000000000004135079607437852211889638948851247878850623079601307778667042646329900466191468805033990112035217604608 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(if (<=.f64 z #s(literal -700000000000000030692090131553338148243833356288 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 z y))) (if (<=.f64 z #s(literal 1050000000000000053900069014874710889683274970276215805444096 binary64)) #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 z y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 y x))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 1020000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))))) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 1020000000 binary64)) (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) z #s(approx (+ (sin y) x) (fma.f64 (/.f64 (sin.f64 y) x) x x))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))))) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -8912032396463377/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 565391060729083/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x)))))) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -8912032396463377/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 565391060729083/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y)))))) |
(if (<=.f64 z #s(literal -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -8912032396463377/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 11200000000 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 -900000000000000007534348105856257130753582880110139491317144940069000642611524812973535948054006079214745000884888476076474368 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -8912032396463377/7957171782556586274486115970349133441607298412757563479047423630290551952200534008528896 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 11200000000 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 -2132904783522667/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -2132904783522667/576460752303423488 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 3961408125713217/79228162514264337593543950336 binary64)) (+.f64 (*.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)) (+.f64 x y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 y #s(literal -1050 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 170000000000000005735768827686289408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -1050 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 170000000000000005735768827686289408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -1050 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 132000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -1050 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 132000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -15600000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 170000000000000005735768827686289408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -15600000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 170000000000000005735768827686289408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 x z))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
(if (<=.f64 y #s(literal -4600000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 295000000000000004135079607437852211889638948851247878850623079601307778667042646329900466191468805033990112035217604608 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -4600000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 295000000000000004135079607437852211889638948851247878850623079601307778667042646329900466191468805033990112035217604608 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(if (<=.f64 z #s(literal -700000000000000030692090131553338148243833356288 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 z y))) (if (<=.f64 z #s(literal 1050000000000000053900069014874710889683274970276215805444096 binary64)) #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 z y))))) |
(if (<=.f64 z #s(literal -700000000000000030692090131553338148243833356288 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ y x) z) (+.f64 z y))) (if (<=.f64 z #s(literal 1050000000000000053900069014874710889683274970276215805444096 binary64)) #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 z 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))) |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 7 846× | lower-fma.f64 |
| 7 846× | lower-fma.f32 |
| 7 126× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 0 | 977 | 11811 |
| 1 | 3180 | 11277 |
| 0 | 8103 | 10508 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 846 | 633 |
| 3 | 2177 | 631 |
| 4 | 4214 | 631 |
| 5 | 7324 | 631 |
| 0 | 8046 | 578 |
| 0 | 837 | 10276 |
| 1 | 2634 | 9881 |
| 0 | 8244 | 9263 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 551 to 316 computations (42.6% saved)
Compiled 588 to 220 computations (62.6% saved)
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