
Time bar (total: 7.1s)
| 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)
| 973.0ms | 8 253× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
| 0.0ms | 2× | 1 | valid |
ival-sin: 263.0ms (36.2% of total)ival-cos: 222.0ms (30.6% of total)ival-add: 162.0ms (22.3% of total)ival-mult: 70.0ms (9.6% of total)ival-true: 6.0ms (0.8% 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 |
| 54.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-sin: 11.0ms (37.1% of total)ival-cos: 10.0ms (33.7% of total)ival-add: 5.0ms (16.9% of total)ival-mult: 3.0ms (10.1% 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 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) |
| 26.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-sin: 8.0ms (47.5% of total)ival-cos: 5.0ms (29.7% of total)ival-add: 2.0ms (11.9% of total)ival-mult: 2.0ms (11.9% 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 | |
|---|---|---|---|---|
| 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 | 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 | y | @ | 0 | ((+ (+ 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 |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (-.f64 (*.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(*.f64 (+.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 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.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)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64))) (-.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (fma.f64 (cos.f64 y) z x) (sin.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 3 binary64))) (fma.f64 (sin.f64 y) (sin.f64 y) (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z x) #s(literal 2 binary64)) (*.f64 (sin.f64 y) (fma.f64 (cos.f64 y) z x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.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 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal 2 binary64))) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 9 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(/.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))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (+.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 z (+.f64 (sin.f64 y) x)) (cos.f64 y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (sin.f64 y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (sin.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (sin.f64 y))) (*.f64 (-.f64 x (sin.f64 y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sin.f64 y) #s(literal 4 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 x x (pow.f64 (sin.f64 y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (sin.f64 y) x)) |
(/.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 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (*.f64 (-.f64 x (sin.f64 y)) (fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 y) x) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sin.f64 y) #s(literal 6 binary64))) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (sin.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (-.f64 x (sin.f64 y))) |
(/.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))) |
(neg.f64 (neg.f64 (+.f64 (sin.f64 y) x))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (+.f64 (sin.f64 y) x) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))) |
(fma.f64 x (/.f64 x (-.f64 x (sin.f64 y))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))) |
(-.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 (sin.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 y) x))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sin.f64 y) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 y) x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x (sin.f64 y)))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (-.f64 x (sin.f64 y))))) |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(sin.f64 y) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) z) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) z)) #s(literal 1 binary64))) |
(cos.f64 y) |
Compiled 5 953 to 603 computations (89.9% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 261 | 12 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 262 | 12 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) | |
| ▶ | 71.8% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| 99.8% | (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) | |
| 55.3% | #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))) | |
| ▶ | 57.9% | #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))) |
| 54.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| 63.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| ▶ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ▶ | 66.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 38.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 272 to 210 computations (22.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #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))) | |
| 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)) |
| 348× | lower-fma.f32 |
| 342× | lower-fma.f64 |
| 146× | lower-*.f32 |
| 142× | lower-*.f64 |
| 136× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 141 |
| 0 | 39 | 138 |
| 1 | 63 | 138 |
| 2 | 90 | 138 |
| 3 | 155 | 138 |
| 4 | 228 | 138 |
| 5 | 231 | 138 |
| 6 | 243 | 138 |
| 7 | 247 | 138 |
| 0 | 247 | 137 |
| 1× | iter limit |
| 1× | saturated |
| 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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
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) |
| 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 (*.f64 #s(literal -1/2 binary64) y) z #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 x z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
(+.f64 x z) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0078125 | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.1015625 | (*.f64 z (cos.f64 y)) | |
| accuracy | 22.879364991077143 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 0 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 24.123188434138093 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) | |
| accuracy | 26.94855038732903 | #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))) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 21.461834733776364 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 45.0ms | 256× | 0 | valid |
Compiled 118 to 22 computations (81.4% saved)
ival-add: 9.0ms (31.3% of total)ival-mult: 8.0ms (27.9% of total)ival-cos: 6.0ms (20.9% of total)ival-sin: 5.0ms (17.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<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>) () ()) |
| 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>) () ())) ()) |
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#s(alt x (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#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 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#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 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#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 (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#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 (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 (+ 1 (/ (sin y) 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 (* x (+ 1 (/ (sin y) 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 (* x (+ 1 (/ (sin y) 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 x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #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))) (patch #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))) #<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 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<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 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<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 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #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))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) 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))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) 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))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) 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))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#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 (* -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 (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.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 #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 (* -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 (cos.f64 y))) (patch (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) #<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 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y))) |
| 1.0ms | 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))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y))) |
| 1.0ms | 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))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y))) |
| 1.0ms | 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))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y))) |
| 1.0ms | 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))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (+ y x) (* z (cos y))) |
| 1× | egg-herbie |
| 16 342× | lower-fma.f64 |
| 16 342× | lower-fma.f32 |
| 4 044× | lower-+.f64 |
| 4 044× | lower-+.f32 |
| 3 496× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 3072 |
| 1 | 568 | 3047 |
| 2 | 1586 | 2937 |
| 3 | 4293 | 2829 |
| 0 | 8318 | 2548 |
| 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) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -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)))) |
(+ 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) (+ (/ 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 z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 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 (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)) |
(* -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) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (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))))))) |
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) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 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 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)))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 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) (* 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)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 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) (* 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)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (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)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ (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 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ (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) (* 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)) |
y |
(+ x y) |
(+ x y) |
(+ x 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 |
(* 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))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z 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 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) 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) (/ (* 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 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ 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))) |
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 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y 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 (/ (+ (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))) |
| 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 |
(+ 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)))) |
(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 (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) |
(+ 1 (* -1/2 (* y z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 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)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
z |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (+ 1 (/ x z))) |
(+.f64 z x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z x) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z x) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(fma.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) y (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) z x) |
(* -1/2 (* y z)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) z) y) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(fma.f64 (+.f64 (/.f64 (sin.f64 y) z) (cos.f64 y)) z x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
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(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.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) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(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) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
z |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(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) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
x |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
(* x (+ 1 (/ z x))) |
(+.f64 z x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y #s(literal 1 binary64)) x z) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(+.f64 z x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 #s(literal 1 binary64) (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
| 4 668× | lower-/.f64 |
| 4 668× | lower-/.f32 |
| 4 462× | lower-fma.f32 |
| 4 456× | lower-fma.f64 |
| 3 756× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 115 |
| 0 | 39 | 112 |
| 1 | 170 | 112 |
| 2 | 1364 | 112 |
| 0 | 8257 | 111 |
| 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 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) 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) |
(*.f64 z (cos.f64 y)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x (sin.f64 y)) (-.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (-.f64 (*.f64 z (cos.f64 y)) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)))) |
(fma.f64 (*.f64 z #s(literal -1/2 binary64)) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 z y) #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 z (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) y) z)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(*.f64 (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (fma.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (*.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (*.f64 (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64))) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 z (cos.f64 y)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (*.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))))) (+.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))))) |
(fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))) |
(fma.f64 (cos.f64 y) z #s(approx (+ x (sin y)) (+.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y)))) (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (-.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))))) |
(+.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 x y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 y y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (*.f64 x x) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
Compiled 14 954 to 1 394 computations (90.7% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 761 | 18 | 779 |
| Fresh | 4 | 3 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 767 | 24 | 791 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 71.8% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| 54.2% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 33.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) | |
| 71.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))))) | |
| ▶ | 54.7% | (+.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))))) |
| 55.6% | (+.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))))) | |
| ▶ | 99.8% | (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
| 55.3% | #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))) | |
| 92.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) | |
| 54.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) y (+.f64 z x))) | |
| ▶ | 20.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
| 33.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 33.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) | |
| ▶ | 66.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
| 63.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| ✓ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 66.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 38.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| ▶ | 43.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
| 21.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 2.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) | |
| 17.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
Compiled 563 to 434 computations (22.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (*.f64 (*.f64 z z) (-.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) | |
| cost-diff | 14336 | (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) | |
| 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 x z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) | |
| cost-diff | 33792 | (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 15 592× | lower-fma.f32 |
| 15 582× | lower-fma.f64 |
| 5 734× | lower-*.f32 |
| 5 720× | lower-*.f64 |
| 1 702× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 399 |
| 0 | 86 | 414 |
| 1 | 157 | 310 |
| 2 | 383 | 306 |
| 3 | 1259 | 304 |
| 4 | 4196 | 304 |
| 0 | 8217 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(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 |
(*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(neg.f64 z) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x z)) |
(+.f64 x z) |
x |
z |
(+.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) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) |
(*.f64 (*.f64 z z) (-.f64 z x)) |
(*.f64 z z) |
z |
(-.f64 z x) |
x |
(*.f64 (-.f64 z x) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (-.f64 z x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(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 |
(*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 x (sin.f64 y))) |
(neg.f64 z) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 x y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(+.f64 x z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 x z)) |
(+.f64 x z) |
x |
z |
(+.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 (+ 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 #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) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) |
(+.f64 x z) |
(-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) |
(*.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) (+.f64 x z)) |
(*.f64 (*.f64 z z) (-.f64 z x)) |
(*.f64 (*.f64 (-.f64 z x) z) z) |
(*.f64 z z) |
z |
(-.f64 z x) |
x |
(*.f64 (-.f64 z x) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 z x) x) x) |
(*.f64 x x) |
(pow.f64 (-.f64 z x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.8496779876949825 | (*.f64 (-.f64 z x) (*.f64 x x)) | |
| accuracy | 11.085883831585358 | (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) | |
| accuracy | 21.222578190753108 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) | |
| accuracy | 41.99804255401691 | (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) | |
| accuracy | 0.09765625 | (*.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 | 0.2643054270652889 | (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) | |
| accuracy | 22.63762930892651 | #s(approx (+ x (sin y)) (+.f64 y x)) | |
| accuracy | 29.604629103310177 | #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 x z) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (+.f64 x z)) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) | |
| accuracy | 21.222578190753108 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 26.700178844493852 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) | |
| accuracy | 33.68146402449616 | #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) | |
| accuracy | 0.04296875 | (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) | |
| accuracy | 0.046875 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| accuracy | 0.07421875 | (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.15625 | (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 172.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 304 to 50 computations (83.6% saved)
ival-mult: 57.0ms (37.6% of total)ival-div: 32.0ms (21.1% of total)ival-cos: 25.0ms (16.5% of total)ival-add: 14.0ms (9.2% of total)const: 6.0ms (4% of total)ival-sin: 6.0ms (4% of total)ival-pow: 4.0ms (2.6% of total)ival-pow2: 2.0ms (1.3% of total)ival-sub: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#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 #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x z)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x z)) #<representation binary64>) () ()) |
#s(alt (+.f64 x z) (patch (+.f64 x z) #<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 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) (patch (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z z) (-.f64 z x)) (patch (*.f64 (*.f64 z z) (-.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (patch (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (patch (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 z x) (*.f64 x x)) (patch (*.f64 (-.f64 z x) (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) (patch (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
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#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x z)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z (pow x 2))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x z)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x z)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x z)) (patch (/.f64 #s(literal 1 binary64) (+.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (+.f64 x z) (patch (+.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 x z) (patch (+.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 x z) (patch (+.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 x z) (patch (+.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#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 (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (* z (cos y)) (taylor 0 z) (#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 (* z (cos y)) (taylor 0 z) (#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 (* z (cos y)) (taylor 0 z) (#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>) () ())) ()) |
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 3) x) (pow (+ (sin y) (* -1 (* z (cos y)))) 2)) x)) (+ (sin y) (* -1 (* z (cos y))))) x)) 1) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (patch (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (patch (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (patch (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (patch (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 3) x)) (pow z 2)) x)) z) x)) 1))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (patch (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) (*.f64 x x)) (patch (*.f64 (-.f64 z x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) (*.f64 x x)) (patch (*.f64 (-.f64 z x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) (*.f64 x x)) (patch (*.f64 (-.f64 z x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) (*.f64 x x)) (patch (*.f64 (-.f64 z x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | inf | ((* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1)) (* (+ (* (cos y) z) (+ (sin y) x)) (* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1))) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ y x) (/ 1 (/ 1 (+ x z))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ x z)) (+ x z) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (+ (+ x (sin y)) (* z (cos y))) (* (* z z) (- z x)) (* z z) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1) (+ (* (neg z) (cos y)) (+ (sin y) x)) (cos y) (+ (* -1/720 (* y y)) 1/24) (- (* (* z z) (- z x)) (* (- z x) (* x x))) (* (- z x) (* x x))) |
| 6.0ms | z | @ | -inf | ((* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1)) (* (+ (* (cos y) z) (+ (sin y) x)) (* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1))) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ y x) (/ 1 (/ 1 (+ x z))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ x z)) (+ x z) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (+ (+ x (sin y)) (* z (cos y))) (* (* z z) (- z x)) (* z z) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1) (+ (* (neg z) (cos y)) (+ (sin y) x)) (cos y) (+ (* -1/720 (* y y)) 1/24) (- (* (* z z) (- z x)) (* (- z x) (* x x))) (* (- z x) (* x x))) |
| 4.0ms | z | @ | 0 | ((* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1)) (* (+ (* (cos y) z) (+ (sin y) x)) (* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1))) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ y x) (/ 1 (/ 1 (+ x z))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ x z)) (+ x z) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (+ (+ x (sin y)) (* z (cos y))) (* (* z z) (- z x)) (* z z) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1) (+ (* (neg z) (cos y)) (+ (sin y) x)) (cos y) (+ (* -1/720 (* y y)) 1/24) (- (* (* z z) (- z x)) (* (- z x) (* x x))) (* (- z x) (* x x))) |
| 3.0ms | x | @ | 0 | ((* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1)) (* (+ (* (cos y) z) (+ (sin y) x)) (* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1))) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ y x) (/ 1 (/ 1 (+ x z))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ x z)) (+ x z) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (+ (+ x (sin y)) (* z (cos y))) (* (* z z) (- z x)) (* z z) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1) (+ (* (neg z) (cos y)) (+ (sin y) x)) (cos y) (+ (* -1/720 (* y y)) 1/24) (- (* (* z z) (- z x)) (* (- z x) (* x x))) (* (- z x) (* x x))) |
| 3.0ms | x | @ | inf | ((* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1)) (* (+ (* (cos y) z) (+ (sin y) x)) (* (+ (* (neg z) (cos y)) (+ (sin y) x)) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1))) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ y x) (/ 1 (/ 1 (+ x z))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ x z)) (+ x z) (+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (* z (cos y)) (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (+ (+ x (sin y)) (* z (cos y))) (* (* z z) (- z x)) (* z z) (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1) (+ (* (neg z) (cos y)) (+ (sin y) x)) (cos y) (+ (* -1/720 (* y y)) 1/24) (- (* (* z z) (- z x)) (* (- z x) (* x x))) (* (- z x) (* x x))) |
| 1× | egg-herbie |
| 7 844× | lower-fma.f64 |
| 7 844× | lower-fma.f32 |
| 4 494× | lower-*.f64 |
| 4 494× | lower-*.f32 |
| 4 212× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 702 | 6458 |
| 1 | 2199 | 6128 |
| 2 | 7020 | 6081 |
| 0 | 8089 | 5752 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
1 |
1 |
1 |
(+ 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 (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 (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
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)))) |
(/ 1 x) |
(+ (* -1 (/ z (pow x 2))) (/ 1 x)) |
(+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
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)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos 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)))) |
(* -1 (* x (pow z 2))) |
(* (pow z 2) (+ z (* -1 x))) |
(* (pow z 2) (+ z (* -1 x))) |
(* (pow z 2) (+ z (* -1 x))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ 1 (+ x (sin y))) |
(+ (/ 1 (+ x (sin y))) (/ (* z (cos y)) (pow (+ x (sin y)) 2))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (* -1 (/ (cos y) (pow (+ x (sin y)) 2))))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (* z (- (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4)) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (* -1 (/ (cos y) (pow (+ x (sin y)) 2))))) (/ 1 (+ x (sin y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(pow x 3) |
(- (* -1 (* (pow x 2) z)) (* -1 (pow x 3))) |
(- (* z (- (* -1 (* x z)) (pow x 2))) (* -1 (pow x 3))) |
(- (* z (- (* z (+ z (* -1 x))) (pow x 2))) (* -1 (pow x 3))) |
(* -1 (pow x 3)) |
(+ (* -1 (pow x 3)) (* (pow x 2) z)) |
(+ (* -1 (pow x 3)) (* (pow x 2) z)) |
(+ (* -1 (pow x 3)) (* (pow x 2) z)) |
1 |
1 |
1 |
1 |
(* 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 (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 z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ 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)))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (/ x z)) z) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) 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 (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(* z (- (+ 1 (* -1 (/ x z))) (* -2 (/ x z)))) |
(* z (- (+ 1 (+ (* -1 (/ x z)) (* -1 (/ (pow x 2) (pow z 2))))) (+ (* -2 (/ x z)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))) (/ (pow x 2) (pow z 2)))))) |
(* z (- (+ 1 (+ (* -1 (/ x z)) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ (pow x 3) (pow z 3))))) (+ (* -2 (/ x z)) (+ (* -2 (/ (* x (- (* -1 x) (* -2 x))) (pow z 2))) (+ (* -2 (/ (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- (* -1 x) (* -2 x)))) (pow x 2)))) (pow z 3))) (+ (/ (* (pow x 2) (- (* -1 x) (* -2 x))) (pow z 3)) (/ (pow x 2) (pow z 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)))) |
(pow z 3) |
(* (pow z 3) (+ 1 (* -1 (/ x z)))) |
(* (pow z 3) (+ 1 (* -1 (/ x z)))) |
(* (pow z 3) (+ 1 (* -1 (/ x z)))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ -1 (* z (cos y))) |
(/ (- (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z) |
(/ (- (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (+ (/ (sin y) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y))))))) z) |
(* -1 (* z (cos y))) |
(* z (+ (* -1 (cos y)) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (* -1 (cos y)) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (* -1 (cos y)) (+ (/ x z) (/ (sin y) z)))) |
(pow z 3) |
(* (pow z 3) (+ 1 (* -1 (/ x z)))) |
(* (pow z 3) (- (+ 1 (* -1 (/ (pow x 2) (pow z 2)))) (/ x z))) |
(* (pow z 3) (- (+ 1 (/ (pow x 3) (pow z 3))) (+ (/ x z) (/ (pow x 2) (pow z 2))))) |
(* (pow x 2) z) |
(* z (+ (* -1 (/ (pow x 3) z)) (pow x 2))) |
(* z (+ (* -1 (/ (pow x 3) z)) (pow x 2))) |
(* z (+ (* -1 (/ (pow x 3) z)) (pow x 2))) |
1 |
1 |
1 |
1 |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -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))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
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 (/ (- (/ x z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) 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))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
z |
(* -1 (* z (- (* -1 (/ (- (* -1 x) (* -2 x)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) z))) (* -2 x)) z)) 1))) |
(* -1 (* z (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) z)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) z))) (* -2 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))))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (/ x z) 1))) |
(* -1 (* (pow z 3) (- (/ x z) 1))) |
(* -1 (* (pow z 3) (- (/ x z) 1))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ -1 (* z (cos y))) |
(* -1 (/ (+ (/ 1 (cos y)) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y)))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y)))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (* z (cos y))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (cos y) (* -1 (/ (+ x (sin y)) z))))) |
(pow z 3) |
(* -1 (* (pow z 3) (- (/ x z) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ (* -1 x) (* -1 (/ (pow x 2) z))) z)) 1))) |
(* -1 (* (pow z 3) (- (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (pow x 3) z)) (* -1 (pow x 2))) z))) z)) 1))) |
(* (pow x 2) z) |
(* -1 (* z (+ (* -1 (pow x 2)) (/ (pow x 3) z)))) |
(* -1 (* z (+ (* -1 (pow x 2)) (/ (pow x 3) z)))) |
(* -1 (* z (+ (* -1 (pow x 2)) (/ (pow x 3) z)))) |
1 |
1 |
1 |
1 |
(+ 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) |
(+ 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 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) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
x |
(+ x y) |
(+ x y) |
(+ x 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 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))))) |
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)))))) |
(+ 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 (+ x (* -1 z))) |
(+ (* -1 (/ y (pow (+ x (* -1 z)) 2))) (/ 1 (+ x (* -1 z)))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x (* -1 z)) 3)) (* 1/2 (/ z (pow (+ x (* -1 z)) 2))))) (/ 1 (pow (+ x (* -1 z)) 2)))) (/ 1 (+ x (* -1 z)))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* 1/6 (/ 1 (pow (+ x (* -1 z)) 2))) (* 1/2 (/ z (pow (+ x (* -1 z)) 3)))) (+ (* -1/2 (/ z (pow (+ x (* -1 z)) 3))) (/ 1 (pow (+ x (* -1 z)) 4))))) (/ 1 (pow (+ x (* -1 z)) 3))) (* 1/2 (/ z (pow (+ x (* -1 z)) 2))))) (/ 1 (pow (+ x (* -1 z)) 2)))) (/ 1 (+ x (* -1 z)))) |
(+ x (* -1 z)) |
(+ x (+ y (* -1 z))) |
(+ x (+ (* -1 z) (* y (+ 1 (* 1/2 (* y z)))))) |
(+ x (+ (* -1 z) (* y (+ 1 (* y (+ (* -1/6 y) (* 1/2 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))) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
1 |
1 |
1 |
1 |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ 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)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
1 |
1 |
1 |
1 |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ 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)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(/ 1 (+ x (+ (sin y) (* -1 (* z (cos y)))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 2)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 2) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
1 |
1 |
1 |
1 |
(+ (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) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (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)))) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 z) |
(+ (* -1 (/ x (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ (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)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(pow z 3) |
(+ (* -1 (* x (pow z 2))) (pow z 3)) |
(+ (* -1 (* x (pow z 2))) (pow z 3)) |
(+ (* -1 (* x (pow z 2))) (pow z 3)) |
(/ 1 (+ (sin y) (* -1 (* z (cos y))))) |
(+ (* -1 (/ x (pow (+ (sin y) (* -1 (* z (cos y)))) 2))) (/ 1 (+ (sin y) (* -1 (* z (cos y)))))) |
(+ (* x (- (/ x (pow (+ (sin y) (* -1 (* z (cos y)))) 3)) (/ 1 (pow (+ (sin y) (* -1 (* z (cos y)))) 2)))) (/ 1 (+ (sin y) (* -1 (* z (cos y)))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* -1 (* z (cos y)))) 4))) (/ 1 (pow (+ (sin y) (* -1 (* z (cos y)))) 3)))) (/ 1 (pow (+ (sin y) (* -1 (* z (cos y)))) 2)))) (/ 1 (+ (sin y) (* -1 (* z (cos y)))))) |
(+ (sin y) (* -1 (* z (cos y)))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(+ x (+ (sin y) (* -1 (* z (cos y))))) |
(pow z 3) |
(+ (* -1 (* x (pow z 2))) (pow z 3)) |
(+ (* x (+ (* -1 (* x z)) (* -1 (pow z 2)))) (pow z 3)) |
(+ (* x (+ (* -1 (pow z 2)) (* x (- x z)))) (pow z 3)) |
(* (pow x 2) z) |
(* (pow x 2) (+ z (* -1 x))) |
(* (pow x 2) (+ z (* -1 x))) |
(* (pow x 2) (+ z (* -1 x))) |
1 |
1 |
1 |
1 |
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) (/ (* 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) (/ (* 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 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z 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)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ z x))) x) |
(/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x) |
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z 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 (* -1 (/ z x))) (* -2 (/ z x)))) |
(* x (- (+ 1 (+ (* -1 (/ z x)) (* -1 (/ (pow z 2) (pow x 2))))) (+ (* -2 (/ z x)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) (pow x 2))) (/ (pow z 2) (pow x 2)))))) |
(* x (- (+ 1 (+ (* -1 (/ z x)) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 3) (pow x 3))))) (+ (* -2 (/ z x)) (+ (* -2 (/ (* z (- (* -1 z) (* -2 z))) (pow x 2))) (+ (* -2 (/ (* z (- (* -1 (pow z 2)) (+ (* -2 (* z (- (* -1 z) (* -2 z)))) (pow z 2)))) (pow x 3))) (+ (/ (* (pow z 2) (- (* -1 z) (* -2 z))) (pow x 3)) (/ (pow z 2) (pow x 2)))))))) |
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)))) |
(* -1 (* x (pow z 2))) |
(* x (+ (* -1 (pow z 2)) (/ (pow z 3) x))) |
(* x (+ (* -1 (pow z 2)) (/ (pow z 3) x))) |
(* x (+ (* -1 (pow z 2)) (/ (pow z 3) x))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 2) (pow x 2))) (+ (* -1 (/ (* z (cos y)) x)) (/ (sin y) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 3) (pow x 3)))) (+ (* -1 (/ (* z (cos y)) x)) (+ (* -1 (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 2) (pow x 2))) (/ (sin y) x)))) x) |
x |
(* x (+ 1 (+ (* -1 (/ (* z (cos y)) x)) (/ (sin y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (cos y)) x)) (/ (sin y) x)))) |
(* x (+ 1 (+ (* -1 (/ (* z (cos y)) x)) (/ (sin y) x)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (* -1 (/ z x)))) |
(* (pow x 3) (- (+ 1 (* -1 (/ (pow z 2) (pow x 2)))) (/ z x))) |
(* (pow x 3) (- (+ 1 (+ (* -1 (/ (pow z 2) (pow x 2))) (/ (pow z 3) (pow x 3)))) (/ z x))) |
(* -1 (pow x 3)) |
(* (pow x 3) (- (/ z x) 1)) |
(* (pow x 3) (- (/ z x) 1)) |
(* (pow x 3) (- (/ z x) 1)) |
1 |
1 |
1 |
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) (* 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) (* 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 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* 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 (/ 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))) |
(/ 1 x) |
(* -1 (/ (- (/ z x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) |
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 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (- (* -1 z) (* -2 z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (pow z 2) (+ (* -1 (pow z 2)) (* 2 (* z (- (* -1 z) (* -2 z)))))) x))) (* -2 z)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (pow z 3) (+ (* 2 (* z (- (pow z 2) (+ (* -1 (pow z 2)) (* 2 (* z (- (* -1 z) (* -2 z)))))))) (* (pow z 2) (- (* -1 z) (* -2 z))))) x)) (pow z 2)) (+ (* -1 (pow z 2)) (* 2 (* z (- (* -1 z) (* -2 z)))))) x))) (* -2 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))) |
(* -1 (* x (pow z 2))) |
(* -1 (* x (+ (* -1 (/ (pow z 3) x)) (pow z 2)))) |
(* -1 (* x (+ (* -1 (/ (pow z 3) x)) (pow z 2)))) |
(* -1 (* x (+ (* -1 (/ (pow z 3) x)) (pow z 2)))) |
(/ 1 x) |
(* -1 (/ (- (+ (* -1 (/ (* z (cos y)) x)) (/ (sin y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 2) x) (+ (sin y) (* -1 (* z (cos y))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 3) x) (pow (+ (sin y) (* -1 (* z (cos y)))) 2)) x)) (+ (sin y) (* -1 (* z (cos y))))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (/ z x) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x)) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 3) x)) (pow z 2)) x)) z) x)) 1))) |
(* -1 (pow x 3)) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
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(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ z x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 z) z (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) x) z)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (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) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (- (* -1 z) (* -2 z)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (pow z 2) (+ (* -1 (pow z 2)) (* 2 (* z (- (* -1 z) (* -2 z)))))) x))) (* -2 z)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (pow z 3) (+ (* 2 (* z (- (pow z 2) (+ (* -1 (pow z 2)) (* 2 (* z (- (* -1 z) (* -2 z)))))))) (* (pow z 2) (- (* -1 z) (* -2 z))))) x)) (pow z 2)) (+ (* -1 (pow z 2)) (* 2 (* z (- (* -1 z) (* -2 z)))))) x))) (* -2 z)) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (fma.f64 z z (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 x)))) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (pow z 2))) |
(*.f64 (*.f64 (neg.f64 z) z) x) |
(* -1 (* x (+ (* -1 (/ (pow z 3) x)) (pow z 2)))) |
(*.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (pow z 3) x)) (pow z 2)))) |
(*.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (pow z 3) x)) (pow z 2)))) |
(*.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 x))) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (* -1 (/ (* z (cos y)) x)) (/ (sin y) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 2) x) (+ (sin y) (* -1 (* z (cos y))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* -1 (* z (cos y)))) 3) x) (pow (+ (sin y) (* -1 (* z (cos y)))) 2)) x)) (+ (sin y) (* -1 (* z (cos y))))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* -1 (* z (cos y)))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (/ z x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (pow z 2) x)) z) x)) 1))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 z (/.f64 z x) z)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow z 3) x)) (pow z 2)) x)) z) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 z z (/.f64 (pow.f64 z #s(literal 3 binary64)) (neg.f64 x))) (neg.f64 x)) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (pow x 3)) |
(neg.f64 (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (* (pow x 3) (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
| 6 592× | lower-*.f32 |
| 6 578× | lower-*.f64 |
| 5 518× | lower-fma.f32 |
| 5 508× | lower-fma.f64 |
| 3 920× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 328 |
| 0 | 86 | 339 |
| 1 | 376 | 263 |
| 2 | 3183 | 263 |
| 0 | 10001 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x)) |
(+.f64 y x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x z)) |
(+.f64 x z) |
(+.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 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
(*.f64 (*.f64 z z) (-.f64 z x)) |
(*.f64 z z) |
(pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) |
#s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) |
(*.f64 (-.f64 z x) (*.f64 x x)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))) (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) (*.f64 (pow.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) #s(literal -1 binary64)) (fma.f64 (cos.f64 y) z (+.f64 x (sin.f64 y))))) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (+.f64 x (sin.f64 y)) (fma.f64 (cos.f64 y) (neg.f64 z) (+.f64 x (sin.f64 y))) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))) |
(/.f64 (+.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 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
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(fma.f64 (*.f64 (-.f64 z x) x) (neg.f64 x) (*.f64 (*.f64 (-.f64 z x) z) z)) |
(fma.f64 (neg.f64 (-.f64 z x)) (*.f64 x x) (*.f64 (*.f64 (-.f64 z x) z) z)) |
(fma.f64 (*.f64 x x) (neg.f64 (-.f64 z x)) (*.f64 (*.f64 (-.f64 z x) z) z)) |
(fma.f64 (-.f64 z x) (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (-.f64 z x) z) z)) |
(fma.f64 (-.f64 z x) (*.f64 z z) (*.f64 (*.f64 (-.f64 z x) x) (neg.f64 x))) |
(fma.f64 (*.f64 z z) (-.f64 z x) (*.f64 (*.f64 (-.f64 z x) x) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 z x) x) x) (*.f64 (*.f64 (-.f64 z x) z) z)) |
(fma.f64 z (*.f64 (-.f64 z x) z) (*.f64 (*.f64 (-.f64 z x) x) (neg.f64 x))) |
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) (*.f64 (-.f64 z x) (fma.f64 z z (*.f64 x x)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 z x) #s(literal 2 binary64))) (*.f64 (-.f64 z x) (fma.f64 z z (*.f64 x x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 z x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 z x) x) x) (*.f64 (-.f64 z x) (fma.f64 z z (*.f64 x x))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z x) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 z x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 z x) x) x) (*.f64 (-.f64 z x) (fma.f64 z z (*.f64 x x))) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))))) |
(-.f64 (*.f64 (*.f64 (-.f64 z x) z) z) (*.f64 (*.f64 (-.f64 z x) x) x)) |
(+.f64 (*.f64 (*.f64 (-.f64 z x) x) (neg.f64 x)) (*.f64 (*.f64 (-.f64 z x) z) z)) |
(+.f64 (*.f64 (*.f64 (-.f64 z x) z) z) (*.f64 (*.f64 (-.f64 z x) x) (neg.f64 x))) |
(*.f64 (*.f64 (-.f64 z x) x) x) |
(*.f64 (*.f64 x x) (-.f64 z x)) |
(*.f64 (-.f64 z x) (*.f64 x x)) |
(*.f64 x (*.f64 (-.f64 z x) x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 x x)) (+.f64 x z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (fma.f64 x (+.f64 x z) (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 x z) (-.f64 z x))) (+.f64 x z)) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x z) (*.f64 z z))) |
(fma.f64 (*.f64 x x) z (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(fma.f64 z (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 (-.f64 z x)))) |
(exp.f64 (+.f64 (log.f64 (-.f64 z x)) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(+.f64 (*.f64 z (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 x x) z) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
Compiled 31 087 to 2 853 computations (90.8% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 266 | 16 | 1 282 |
| Fresh | 2 | 14 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 271 | 35 | 1 306 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 71.8% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| 54.2% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| ▶ | 54.7% | (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))) |
| 33.6% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
| 71.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))))) | |
| 55.6% | (+.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))))) | |
| 38.9% | (*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(approx (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))))) | |
| 55.3% | #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))) | |
| 92.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) | |
| 54.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) y (+.f64 z x))) | |
| 23.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) | |
| 12.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 #s(approx (* (* z z) (- z x)) (*.f64 (*.f64 (neg.f64 z) z) x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) | |
| 33.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 33.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 33.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) | |
| ✓ | 66.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
| 61.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) | |
| 22.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) | |
| 45.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) | |
| ▶ | 23.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
| 45.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 63.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
| ✓ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 66.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ▶ | 38.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 62.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) | |
| 43.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 23.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) | |
| 25.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) | |
| ✓ | 43.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
| 21.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 2.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) | |
| 17.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
Compiled 844 to 660 computations (21.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (+.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
| 768× | lower-fma.f32 |
| 758× | lower-fma.f64 |
| 302× | lower-*.f32 |
| 298× | lower-*.f64 |
| 208× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 238 |
| 0 | 61 | 231 |
| 1 | 93 | 231 |
| 2 | 150 | 231 |
| 3 | 267 | 231 |
| 4 | 500 | 231 |
| 5 | 684 | 231 |
| 6 | 692 | 231 |
| 7 | 694 | 231 |
| 0 | 694 | 231 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
z |
(cos.f64 y) |
y |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
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))) |
#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 (*.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 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(+.f64 x y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
z |
(cos.f64 y) |
y |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y z) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 (+.f64 y z) x) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
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))) |
(fma.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)) (+.f64 x y))) |
#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))) |
#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 (*.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 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 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 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
(fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/720 binary64) |
#s(literal 1/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
z |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(+.f64 x y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.09765625 | (*.f64 (cos.f64 y) z) | |
| accuracy | 38.87190091240821 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.05580235241743066 | (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)) | |
| accuracy | 0.2643054270652889 | (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) | |
| accuracy | 22.63762930892651 | #s(approx (+ x (sin y)) (+.f64 x y)) | |
| accuracy | 29.604629103310177 | #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))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 21.222578190753108 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) | |
| accuracy | 34.39500366044466 | #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (+.f64 (+.f64 z y) x) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 23.160173120780104 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.046875 | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) | |
| accuracy | 0.08203125 | (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
| 116.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 177 to 33 computations (81.4% saved)
ival-div: 27.0ms (30.4% of total)const: 26.0ms (29.3% of total)ival-add: 12.0ms (13.5% of total)ival-mult: 11.0ms (12.4% of total)ival-cos: 6.0ms (6.8% of total)ival-sin: 5.0ms (5.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (+ x (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z (pow x 2))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) (taylor 0 z) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) (patch (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) 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))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) 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))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) 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))) (+.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) #<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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) #<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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) #<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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ z x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ z x) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (sin y)) (+.f64 x y)) (patch #s(approx (+ x (sin y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (+ (* z (cos y)) (+ x (sin y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (/ 1 (+ x z))) (/ 1 (+ x z)) (/ 1 z) (+ (* (cos y) z) (+ x (sin y))) (cos y) (+ (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (+ x (sin y)) (+ (* (* y y) -1/720) 1/24)) |
| 2.0ms | y | @ | inf | ((/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (+ (* z (cos y)) (+ x (sin y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (/ 1 (+ x z))) (/ 1 (+ x z)) (/ 1 z) (+ (* (cos y) z) (+ x (sin y))) (cos y) (+ (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (+ x (sin y)) (+ (* (* y y) -1/720) 1/24)) |
| 2.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (+ (* z (cos y)) (+ x (sin y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (/ 1 (+ x z))) (/ 1 (+ x z)) (/ 1 z) (+ (* (cos y) z) (+ x (sin y))) (cos y) (+ (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (+ x (sin y)) (+ (* (* y y) -1/720) 1/24)) |
| 1.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (+ (* z (cos y)) (+ x (sin y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (/ 1 (+ x z))) (/ 1 (+ x z)) (/ 1 z) (+ (* (cos y) z) (+ x (sin y))) (cos y) (+ (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (+ x (sin y)) (+ (* (* y y) -1/720) 1/24)) |
| 1.0ms | z | @ | inf | ((/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (+ (* z (cos y)) (+ x (sin y))) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (/ 1 (+ x z))) (/ 1 (+ x z)) (/ 1 z) (+ (* (cos y) z) (+ x (sin y))) (cos y) (+ (* (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (* y y)) 1) (+ (* (+ (* (* y y) -1/720) 1/24) (* y y)) -1/2) (+ (+ x (sin y)) (* z (cos y))) (* (cos y) z) (+ x (sin y)) (+ (* (* y y) -1/720) 1/24)) |
| 1× | egg-herbie |
| 10 312× | lower-fma.f64 |
| 10 312× | lower-fma.f32 |
| 5 804× | lower-*.f64 |
| 5 804× | lower-*.f32 |
| 3 706× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 4694 |
| 1 | 1278 | 4641 |
| 2 | 3714 | 4442 |
| 0 | 8128 | 4153 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(+ 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) |
(/ 1 x) |
(+ (* -1 (/ z (pow x 2))) (/ 1 x)) |
(+ (* z (- (/ z (pow x 3)) (/ 1 (pow x 2)))) (/ 1 x)) |
(+ (* z (- (* z (+ (* -1 (/ z (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (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)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) 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 (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) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ 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))) |
(/ 1 z) |
(/ (+ 1 (* -1 (/ x z))) z) |
(/ (- (+ 1 (/ (pow x 2) (pow z 2))) (/ x z)) z) |
(/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 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 (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))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(/ 1 z) |
(* -1 (/ (- (/ x z) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow x 2) z) x) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) z) (pow x 2)) z)) x) z)) 1) z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (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))))))) |
(/ 1 (+ x z)) |
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ 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 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) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(+ 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) |
(+ 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))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
-1/2 |
(- (* 1/24 (pow y 2)) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 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)))))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
1/24 |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ 1/24 (* -1/720 (pow y 2))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(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)))) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(* -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)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(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)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/720 (pow y 6)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 6) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/24 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* -1/720 (pow y 4)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) 1/720)) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(* (pow y 4) (- (* 1/24 (/ 1 (pow y 2))) (+ 1/720 (/ 1/2 (pow y 4))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
(* -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) (* 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) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (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)))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(/ 1 z) |
(+ (* -1 (/ x (pow z 2))) (/ 1 z)) |
(+ (* x (- (/ x (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z)) |
(+ (* x (- (* x (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(+ (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) (* 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)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) 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) (/ (* 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 (+ (/ (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))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ z x))) x) |
(/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x) |
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) 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) (/ (* 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))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) 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) (* 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 (/ (+ (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))) |
(/ 1 x) |
(* -1 (/ (- (/ z x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) 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) (* 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)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
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x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ z x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 (/.f64 z x) #s(literal 1 binary64))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z x) #s(literal 3 binary64)))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
| 4 680× | lower-fma.f32 |
| 4 670× | lower-fma.f64 |
| 4 096× | lower-*.f32 |
| 4 092× | lower-*.f64 |
| 3 690× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 206 |
| 0 | 61 | 199 |
| 1 | 249 | 199 |
| 2 | 1820 | 199 |
| 0 | 8430 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) 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))) |
#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 (*.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 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(fma.f64 (*.f64 y y) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (pow.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 y) x) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (*.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (fma.f64 (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))) (/.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (cos.f64 y) z) x) (sin.f64 y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (sin.f64 y) #s(literal 1 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (cos.f64 y) z x) #s(literal 1 binary64)) (*.f64 (sin.f64 y) #s(literal 1 binary64)))))) |
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(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 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))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.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)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/8 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y #s(literal -1/2 binary64)) |
(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 (*.f64 y y) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 y (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 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))) (/.f64 #s(literal 1/4 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)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) y) y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(*.f64 z (cos.f64 y)) |
#s(approx (+ x (sin y)) (+.f64 x y)) |
(*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64)) (pow.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (pow.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)))) |
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) |
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) |
(/.f64 (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) #s(literal -1/576 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 y y) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal -1/373248000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/13824 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/720 binary64) y) y #s(literal 1/24 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)) |
(fma.f64 y (*.f64 #s(literal -1/720 binary64) y) #s(literal 1/24 binary64)) |
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal -1/24 binary64)))) |
(+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 y y)) #s(literal 1/24 binary64)) |
(+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 y y))) |
Compiled 24 426 to 2 550 computations (89.6% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 026 | 13 | 1 039 |
| Fresh | 7 | 18 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 036 | 38 | 1 074 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 71.8% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| 54.2% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| 55.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) | |
| 63.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) | |
| 38.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 (cos.f64 y) z)))) | |
| 38.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) | |
| 45.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) | |
| 55.3% | #s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| 92.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) | |
| 54.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) y (+.f64 z x))) | |
| 32.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) | |
| 23.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) | |
| 12.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 #s(approx (* (* z z) (- z x)) (*.f64 (*.f64 (neg.f64 z) z) x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) | |
| 33.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 33.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 33.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) | |
| ✓ | 66.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
| 61.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) | |
| 45.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) | |
| 22.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) | |
| 45.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) | |
| ✓ | 23.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
| ✓ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 66.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ✓ | 38.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
| 21.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 21.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 21.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| 23.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 62.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) | |
| 43.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) | |
| 23.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) | |
| 26.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) | |
| 25.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) | |
| ✓ | 43.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
| 2.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) | |
| 17.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
Compiled 1 241 to 610 computations (50.8% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) |
(+.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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#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))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) |
(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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#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)) |
(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))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 #s(approx (* (* z z) (- z x)) (*.f64 (*.f64 (neg.f64 z) z) x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
#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))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) (+.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z (cos.f64 y)) #s(approx (+ x (sin y)) (+.f64 x y))) (-.f64 (pow.f64 (*.f64 z (cos.f64 y)) #s(literal 2 binary64)) (pow.f64 #s(approx (+ x (sin y)) (+.f64 x y)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(approx (pow (+ (* (neg z) (cos y)) (+ (sin y) x)) -1) (/.f64 #s(literal -1 binary64) (*.f64 (cos.f64 y) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (*.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
4 calls:
| 48.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 26.0ms | y |
| 19.0ms | x |
| 19.0ms | 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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) |
(+.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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#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))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) |
(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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#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)) |
(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))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 #s(approx (* (* z z) (- z x)) (*.f64 (*.f64 (neg.f64 z) z) x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
#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))) |
| Outputs |
|---|
#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) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
4 calls:
| 53.0ms | y |
| 28.0ms | x |
| 17.0ms | z |
| 16.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 3 | x |
| 87.5% | 3 | y |
| 89.0% | 4 | z |
| 88.4% | 7 | (+.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 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) |
(+.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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#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))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) |
(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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#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)) |
(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))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (cos.f64 y) #s(approx (+ x (sin y)) (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 #s(approx (* (* z z) (- z x)) (*.f64 (*.f64 (neg.f64 z) z) x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (pow.f64 (-.f64 z x) #s(literal 2 binary64)))) |
| 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:
| 18.0ms | x |
| 16.0ms | y |
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.0% | 4 | z |
| 75.2% | 2 | x |
| 85.2% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) |
(+.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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#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))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) |
(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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#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)) |
| 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 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
1 calls:
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 5 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) |
(+.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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#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))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) |
(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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#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)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
3 calls:
| 23.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 81.6% | 3 | y |
| 80.6% | 3 | z |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) |
(+.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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#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))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) |
(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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 13.0ms | y |
| 12.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.5% | 1 | z |
| 71.1% | 3 | y |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.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))) |
#s(approx (/ 1 (/ 1 (+ (* z (cos y)) (+ x (sin y))))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (+.f64 (+.f64 z x) y)))) |
(+.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))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#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))) (*.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 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ x z) (fma.f64 (/.f64 z x) x x))))) |
(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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (-.f64 z x)) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (neg.f64 z) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) z) x) z) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* z (cos y)) (+ x (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (fma.f64 (/.f64 z x) (-.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 z z)) x) #s(literal -1 binary64) z) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (fma.f64 z (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))) |
| 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)) |
3 calls:
| 14.0ms | x |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 3 | y |
| 70.4% | 3 | x |
| 70.9% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ x z)) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* z (cos y)) (+ x (sin y)))) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.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 (*.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:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 z y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (fma.f64 (*.f64 z y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ (- (* (* z z) (- z x)) (* (- z x) (* x x))) (pow (- z x) 2)) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 #s(approx (+ (* (* -1/2 y) z) 1) (*.f64 (*.f64 #s(literal -1/2 binary64) z) y)) 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)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 35.0ms | y |
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 1 | x |
| 66.5% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 66.5% | 1 | y |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
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 |
|---|---|---|
| 51.7% | 3 | z |
| 43.4% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 53.5% | 3 | x |
| 43.4% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 1 | z |
| 43.4% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.9223126119565387e+139 | 8.666002521354521e+142 |
| 41.0ms | -0.44129955643508634 | -3.100560229305852e-10 |
| 54.0ms | 272× | 0 | valid |
Compiled 251 to 278 computations (-10.8% saved)
ival-sin: 10.0ms (49.4% of total)ival-cos: 5.0ms (24.7% of total)ival-add: 3.0ms (14.8% of total)ival-mult: 2.0ms (9.9% 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 |
|---|---|---|
| 9.0ms | 3.2034738234909613e+67 | 6.617615649342416e+67 |
| 19.0ms | -2.1167073446538213e-44 | -9.20484207492489e-52 |
| 8.0ms | -5.19520815792421e+129 | -2.998610309513139e+129 |
| 23.0ms | 288× | 0 | valid |
Compiled 194 to 258 computations (-33% saved)
ival-sin: 6.0ms (36.5% of total)ival-cos: 5.0ms (30.4% of total)ival-add: 3.0ms (18.3% of total)ival-mult: 2.0ms (12.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 1.7621711905361045e+205 | 4.217362169441825e+211 |
| 30.0ms | 8.348879863007693e-17 | 1.5394249432512713e-15 |
| 1.0ms | -2.1167073446538213e-44 | -9.20484207492489e-52 |
| 0.0ms | -5.19520815792421e+129 | -2.998610309513139e+129 |
| 37.0ms | 256× | 0 | valid |
Compiled 273 to 391 computations (-43.2% saved)
ival-cos: 5.0ms (35.2% of total)ival-sin: 5.0ms (35.2% of total)ival-add: 2.0ms (14.1% of total)ival-mult: 2.0ms (14.1% 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 |
|---|---|---|
| 26.0ms | 89554.5687355619 | 76075858.34013847 |
| 11.0ms | -0.44129955643508634 | -3.100560229305852e-10 |
| 25.0ms | 240× | 0 | valid |
Compiled 199 to 252 computations (-26.6% saved)
ival-sin: 6.0ms (41% of total)ival-cos: 5.0ms (34.2% of total)ival-add: 2.0ms (13.7% of total)ival-mult: 2.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0230876907600337 | 4.400497295568233 |
| 0.0ms | 1.8197978742468864e-15 | 0.018987829817699416 |
| 0.0ms | -0.045275350215663694 | -0.027572206248128204 |
| 0.0ms | -44.82295440309292 | -0.999639468813225 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.1699584333130358e-8 | 1.4144096708080545e-6 |
| 31.0ms | -3.810203835085899e+67 | -1.0779225674303287e+36 |
| 31.0ms | 288× | 0 | valid |
Compiled 354 to 356 computations (-0.6% saved)
ival-sin: 8.0ms (42.7% of total)ival-cos: 6.0ms (32% of total)ival-add: 3.0ms (16% of total)ival-mult: 2.0ms (10.7% 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 |
|---|---|---|
| 1.0ms | 2.1699584333130358e-8 | 1.4144096708080545e-6 |
| 1.0ms | -3.810203835085899e+67 | -1.0779225674303287e+36 |
Compiled 300 to 320 computations (-6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.204567109680067e-32 | 6.0474521233839e-27 |
| 25.0ms | -4.509986408385461e+72 | -3.810203835085899e+67 |
| 29.0ms | 288× | 0 | valid |
Compiled 192 to 248 computations (-29.2% saved)
ival-sin: 12.0ms (54.5% of total)ival-cos: 5.0ms (22.7% of total)ival-add: 3.0ms (13.6% of total)ival-mult: 2.0ms (9.1% 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 |
|---|---|---|
| 13.0ms | 3.508150427991167e+59 | 2.89805749301411e+60 |
| 18.0ms | -2.3075292751485278e-14 | -1.4707457047310528e-21 |
| 21.0ms | 240× | 0 | valid |
Compiled 162 to 224 computations (-38.3% saved)
ival-sin: 5.0ms (40.1% of total)ival-cos: 4.0ms (32.1% of total)ival-add: 2.0ms (16.1% of total)ival-mult: 2.0ms (16.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | +-commutative-binary64-+.f64 |
| 6× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 664 |
| 1 | 129 | 664 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 y #s(literal -1261007895663739/4503599627370496 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (if (<=.f64 y #s(literal 179999999999999997978809622573903506794678565551477627251360221155199829825996295905050741977254784380840385584594620233062184013877768880128 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 z #s(literal -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 33000000000000002872442257111055027400209801502806844412956910813184 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 -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 735237348132373/2535301200456458802993406410752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 279999999999999982374947854166028644258741762399744856753368499318036057890324474066154108647823898222559018139864148599274442876981379480826846919623065543913283593271488765349819361509780711396138572316672 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 y #s(literal -5902958103587057/36893488147419103232 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 520000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -40 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 y #s(literal -105000000000000000469670204350622859264 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 6611313076017503/4722366482869645213696 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 -105000000000000000469670204350622859264 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 6611313076017503/4722366482869645213696 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 -48999999999999999004444245749324972930417609220199186952260528635904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1045347431181123/174224571863520493293247799005065324265472 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 x #s(literal -2857840190937569/1329227995784915872903807060280344576 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (if (<=.f64 x #s(literal 1200000000000000010626946991786816693270672485690848906838016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.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 y #s(literal -1261007895663739/4503599627370496 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (if (<=.f64 y #s(literal 179999999999999997978809622573903506794678565551477627251360221155199829825996295905050741977254784380840385584594620233062184013877768880128 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -1261007895663739/4503599627370496 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (if (<=.f64 y #s(literal 179999999999999997978809622573903506794678565551477627251360221155199829825996295905050741977254784380840385584594620233062184013877768880128 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 z #s(literal -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 33000000000000002872442257111055027400209801502806844412956910813184 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 -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 33000000000000002872442257111055027400209801502806844412956910813184 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 -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 735237348132373/2535301200456458802993406410752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 279999999999999982374947854166028644258741762399744856753368499318036057890324474066154108647823898222559018139864148599274442876981379480826846919623065543913283593271488765349819361509780711396138572316672 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -4700000000000000083970436774470195308926965917880833607707392611884110516961564518837354502815249602548139261930253860408825741312 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal -6427752177035961/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 z #s(literal 735237348132373/2535301200456458802993406410752 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 279999999999999982374947854166028644258741762399744856753368499318036057890324474066154108647823898222559018139864148599274442876981379480826846919623065543913283593271488765349819361509780711396138572316672 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 y #s(literal -5902958103587057/36893488147419103232 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 520000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -5902958103587057/36893488147419103232 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 520000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -40 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -40 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal -5764607523034235/144115188075855872 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 x y) z)) (if (<=.f64 (+.f64 (*.f64 z (cos.f64 y)) (+.f64 x (sin.f64 y))) #s(literal 2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)))))) |
(if (<=.f64 y #s(literal -105000000000000000469670204350622859264 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 6611313076017503/4722366482869645213696 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 -105000000000000000469670204350622859264 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 6611313076017503/4722366482869645213696 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 -105000000000000000469670204350622859264 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 6611313076017503/4722366482869645213696 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 -105000000000000000469670204350622859264 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 6611313076017503/4722366482869645213696 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 -48999999999999999004444245749324972930417609220199186952260528635904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 1045347431181123/174224571863520493293247799005065324265472 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 -48999999999999999004444245749324972930417609220199186952260528635904 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 1045347431181123/174224571863520493293247799005065324265472 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 x #s(literal -2857840190937569/1329227995784915872903807060280344576 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (if (<=.f64 x #s(literal 1200000000000000010626946991786816693270672485690848906838016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))))) |
(if (<=.f64 x #s(literal -2857840190937569/1329227995784915872903807060280344576 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 x y))) (if (<=.f64 x #s(literal 1200000000000000010626946991786816693270672485690848906838016 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (+ z y) x) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 x y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 x y))) |
| 16 342× | lower-fma.f64 |
| 16 342× | lower-fma.f32 |
| 11 712× | lower-fma.f64 |
| 11 712× | lower-fma.f32 |
| 10 312× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 441 | 4694 |
| 1 | 1278 | 4641 |
| 2 | 3714 | 4442 |
| 0 | 8128 | 4153 |
| 0 | 192 | 3072 |
| 1 | 568 | 3047 |
| 2 | 1586 | 2937 |
| 3 | 4293 | 2829 |
| 0 | 8318 | 2548 |
| 0 | 109 | 647 |
| 1 | 310 | 643 |
| 2 | 846 | 633 |
| 3 | 2177 | 631 |
| 4 | 4214 | 631 |
| 5 | 7324 | 631 |
| 0 | 8046 | 578 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 530 to 288 computations (45.7% saved)
Compiled 650 to 216 computations (66.8% saved)
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