
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 11 to 10 computations (9.1% saved)
| 1.2s | 8 251× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
| 0.0ms | 2× | 2 | valid |
| 0.0ms | 2× | 1 | valid |
ival-sin: 278.0ms (35.4% of total)ival-cos: 261.0ms (33.2% of total)ival-add: 131.0ms (16.7% of total)ival-mult: 105.0ms (13.4% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 4.0ms (0.5% 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 |
| 63.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-cos: 14.0ms (39.6% of total)ival-sin: 12.0ms (33.9% of total)ival-add: 5.0ms (14.1% of total)ival-mult: 4.0ms (11.3% of total)ival-true: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 18 | 24 |
| 2 | 25 | 24 |
| 3 | 27 | 24 |
| 0 | 27 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 x (sin.f64 y)) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
z |
(cos.f64 y) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+.f64 x (sin.f64 y)) |
(+.f64 (sin.f64 y) x) |
x |
(sin.f64 y) |
y |
(*.f64 z (cos.f64 y)) |
(*.f64 (cos.f64 y) z) |
z |
(cos.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) | |
| accuracy | 0.00390625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.1328125 | (*.f64 z (cos.f64 y)) |
| 29.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 7.0ms (37.5% of total)ival-sin: 6.0ms (32.1% of total)ival-add: 2.0ms (10.7% of total)ival-mult: 2.0ms (10.7% 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 |
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) |
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 |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 5 953 to 603 computations (89.9% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 257 | 16 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 258 | 16 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 63.7% | (fma.f64 (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (cos.f64 y) z)) | |
| ▶ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 41.8% | (/.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))) | |
| ▶ | 41.7% | (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
| ▶ | 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 55.8% | (/.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))))) | |
| 63.5% | (+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) | |
| 55.8% | (*.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))) | |
| 41.7% | (*.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))) | |
| 48.8% | #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))) | |
| 51.0% | #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))) | |
| 63.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| 55.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| ▶ | 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ▶ | 63.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 47.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 526 to 338 computations (35.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| 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 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 199 |
| 0 | 45 | 193 |
| 1 | 70 | 193 |
| 2 | 119 | 193 |
| 3 | 396 | 193 |
| 4 | 1327 | 193 |
| 5 | 4139 | 193 |
| 6 | 6501 | 193 |
| 0 | 8062 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) (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)) |
(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(literal -1 binary64) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(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 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(*.f64 x x) |
| 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))) (+.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(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
#s(literal 1 binary64) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #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))) |
(cos.f64 y) |
y |
z |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
x |
#s(literal -1 binary64) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 3 binary64)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(fma.f64 z (cos.f64 y) (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
#s(literal 3 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) |
(fma.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (fma.f64 z (cos.f64 y) (sin.f64 y)) (*.f64 x x)) |
(-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (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)) | |
| accuracy | 0.26599506837909415 | (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) | |
| accuracy | 3.0937376149812352 | (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 36.266473068487024 | (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.06640625 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| accuracy | 0.12109375 | (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.2265625 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 29.26952345695682 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 23.143128187262846 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0.06640625 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 74.0ms | 256× | 0 | valid |
Compiled 207 to 28 computations (86.5% saved)
ival-cos: 15.0ms (28% of total)ival-pow: 11.0ms (20.5% of total)ival-add: 8.0ms (14.9% of total)ival-mult: 8.0ms (14.9% of total)ival-sin: 6.0ms (11.2% of total)ival-div: 3.0ms (5.6% of total)ival-sub: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (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))) (+.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(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) (patch (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (patch (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (patch (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z (sin.f64 y)) (patch (fma.f64 (cos.f64 y) z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) (patch (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x)) #<representation binary64>) () ()) |
| 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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 5.0ms | x | @ | 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 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 4.0ms | 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 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 4.0ms | 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 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 4.0ms | 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 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (pow (+ (* (cos y) z) (sin y)) 3) (+ (* (cos y) z) (sin y)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 746 | 8087 |
| 1 | 2458 | 7623 |
| 0 | 8272 | 7093 |
| 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 (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)))) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (pow x 3) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (+ (pow x 3) (pow (sin y) 3))) |
(pow (sin y) 3) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (* (cos y) (pow (sin y) 2)))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(+ (* z (+ (* 2 (* (cos y) (pow (sin y) 2))) (+ (* z (+ (* 2 (* (pow (cos y) 2) (sin y))) (+ (* z (pow (cos y) 3)) (* (pow (cos y) 2) (sin y))))) (* (cos y) (pow (sin y) 2))))) (pow (sin y) 3)) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (* (sin y) (- (sin y) x)) (pow x 2)) |
(+ (* z (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (+ (* z (pow (cos y) 2)) (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(* 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 (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) |
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(* z (cos y)) |
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(* (pow z 3) (pow (cos y) 3)) |
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(* (pow z 3) (pow (cos y) 3)) |
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(* z (cos y)) |
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(* z (+ (cos y) (/ (sin y) z))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (pow (cos y) 2)))) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (+ (/ (* (sin y) (- (sin y) x)) (pow z 2)) (+ (/ (pow x 2) (pow z 2)) (pow (cos y) 2)))))) |
(* (pow z 2) (+ (/ (* (cos y) (sin y)) z) (+ (/ (* (cos y) (- (sin y) x)) z) (+ (/ (* (sin y) (- (sin y) x)) (pow z 2)) (+ (/ (pow x 2) (pow z 2)) (pow (cos y) 2)))))) |
(* z (cos y)) |
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z |
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(* z (cos y)) |
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(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
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(* z (cos y)) |
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(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (- (+ (sin y) (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin y) 2) (cos y))) (* -1 (/ (pow (sin y) 2) (cos y)))) (+ (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) (cos y))) (/ (* (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (- (+ (sin y) (* 2 (sin y))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y))))) (pow (cos y) 2)))) z)) (* 2 (sin y)))) (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) (cos y)))) z))))) |
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(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (+ (pow x 3) (pow (sin y) 3)) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* (pow z 3) (pow (cos y) 3)) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (* -1 (* (cos y) (pow (sin y) 2)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (cos y) (pow (sin y) 2))) (+ (* -1 (* (cos y) (pow (sin y) 2))) (* -1 (/ (pow (sin y) 3) z)))) z)) (+ (* 2 (* (pow (cos y) 2) (sin y))) (* (pow (cos y) 2) (sin y)))) z)) (* -1 (pow (cos y) 3))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (sin y) z))))) |
(* (pow z 2) (pow (cos y) 2)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (* -1 (* (cos y) (- (sin y) x)))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (+ (* -1 (* (cos y) (- (sin y) x))) (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) z)))) z)) (pow (cos y) 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* (cos y) (sin y))) (+ (* -1 (* (cos y) (- (sin y) x))) (* -1 (/ (+ (* (sin y) (- (sin y) x)) (pow x 2)) z)))) z)) (pow (cos y) 2))) |
(+ 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 |
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(+ 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) |
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(+ 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))) |
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(+ (* 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))) |
(/ (+ (pow x 3) (pow z 3)) (+ (* z (- z x)) (pow x 2))) |
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(+ (pow x 3) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (pow z 2))) (+ (pow x 3) (pow z 3))) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (* z (+ 1 (* -1 (pow z 2))))))) (pow z 2)))) (+ (pow x 3) (pow z 3))) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (+ (* y (+ 1 (+ (* -2 (pow z 2)) (+ (* -1/6 (pow z 2)) (* z (+ (* -1 z) (* -1/3 z))))))) (* z (+ 1 (* -1 (pow z 2)))))))) (pow z 2)))) (+ (pow x 3) (pow z 3))) |
(pow z 3) |
(+ (* y (+ (* 2 (pow z 2)) (pow z 2))) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (* z (+ 1 (* -1 (pow z 2))))))) (pow z 2)))) (pow z 3)) |
(+ (* y (+ (* 2 (pow z 2)) (+ (* y (+ (* -1/2 (pow z 3)) (+ (* 2 z) (+ (* y (+ 1 (+ (* -2 (pow z 2)) (+ (* -1/6 (pow z 2)) (* z (+ (* -1 z) (* -1/3 z))))))) (* z (+ 1 (* -1 (pow z 2)))))))) (pow z 2)))) (pow z 3)) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ (* z (- z x)) (pow x 2)) |
(+ (* y (- (* 2 z) x)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 z) (* y (+ 1 (+ (* -1/2 (* z (- z x))) (* -1/2 (pow z 2)))))) x)) (+ (* z (- z x)) (pow x 2))) |
(+ (* y (- (+ (* 2 z) (* y (+ 1 (+ (* -1/2 (* z (- z x))) (+ (* -1/2 (pow z 2)) (* y (+ (* -1 z) (+ (* -1/6 z) (* -1/6 (- z x)))))))))) x)) (+ (* z (- z x)) (pow x 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)))) |
(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)))) |
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(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
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(+ 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))))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(pow (+ (sin y) (* z (cos y))) 3) |
(pow (+ (sin y) (* z (cos y))) 3) |
(pow (+ (sin y) (* z (cos y))) 3) |
(pow (+ (sin y) (* z (cos y))) 3) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 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)))) |
(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)))) |
(+ 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))))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(pow (+ (sin y) (* z (cos y))) 3) |
(pow (+ (sin y) (* z (cos y))) 3) |
(pow (+ (sin y) (* z (cos y))) 3) |
(pow (+ (sin y) (* z (cos y))) 3) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2)) |
(+ (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)))) |
(+ (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)))) |
(pow (+ (sin y) (* z (cos y))) 3) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) |
(pow (+ (sin y) (* z (cos y))) 2) |
(+ (* -1 (* x (+ (sin y) (* z (cos y))))) (pow (+ (sin y) (* z (cos y))) 2)) |
(+ (* x (+ x (* -1 (+ (sin y) (* z (cos y)))))) (pow (+ (sin y) (* z (cos y))) 2)) |
(+ (* x (+ x (* -1 (+ (sin y) (* z (cos y)))))) (pow (+ (sin y) (* z (cos y))) 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)))) |
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 (+ (/ (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 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(* (pow x 3) (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
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 (/ (+ (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 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(pow x 3) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
| 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 (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(/ 1 (+ x (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) (/.f64 (*.f64 (cos.f64 y) z) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(fma.f64 (fma.f64 z (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64))) (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 3 binary64)))) z (/.f64 (neg.f64 (cos.f64 y)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x))) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (cos.f64 y)) (+.f64 (sin.f64 y) (-.f64 (sin.f64 y) x))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64)))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
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(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) x) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) (*.f64 x x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(/.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (-.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) (neg.f64 x)) #s(literal -1 binary64) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) #s(literal -1 binary64) #s(literal -1 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* (pow x 3) (- (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3))) 1))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) #s(literal -1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) x) x) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (sin y) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* z (cos y)))) x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) x)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 143 |
| 0 | 45 | 137 |
| 1 | 209 | 137 |
| 2 | 1668 | 137 |
| 0 | 8806 | 137 |
| 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))) (+.f64 (sin.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (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)) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(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)) |
| Outputs |
|---|
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Compiled 45 292 to 2 883 computations (93.6% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 370 | 25 | 1 395 |
| Fresh | 10 | 1 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 382 | 29 | 1 411 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
| 63.5% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| 63.5% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| ▶ | 51.1% | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
| 51.2% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| 31.3% | (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) | |
| 14.9% | (/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) | |
| 55.8% | (/.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))))) | |
| 51.0% | (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)))) | |
| 46.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))) | |
| 63.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) | |
| 47.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| 38.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 86.5% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) |
| 47.5% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z)) | |
| 51.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) | |
| 55.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) | |
| 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) | |
| 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| ✓ | 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 63.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal -1 binary64)))) | |
| 24.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) | |
| 25.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| ▶ | 30.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
| ▶ | 18.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
| 58.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| ▶ | 52.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
Compiled 715 to 538 computations (24.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) | |
| cost-diff | 1152 | (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) | |
| cost-diff | 0 | (/.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) | |
| cost-diff | 1600 | (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 247 |
| 0 | 68 | 249 |
| 1 | 120 | 249 |
| 2 | 237 | 242 |
| 3 | 700 | 242 |
| 4 | 2245 | 215 |
| 5 | 4375 | 215 |
| 6 | 7930 | 215 |
| 0 | 8341 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (sin y) x) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) |
(neg.f64 z) |
z |
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 x z) |
x |
#s(literal -1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
y |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) |
(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(literal -1/2 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) |
z |
(/.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y))) |
#s(approx (+ (sin y) x) (+.f64 y x)) |
#s(approx (+ (sin y) x) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (+.f64 x z))) |
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ z x) (+.f64 x z)) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) |
(+.f64 x z) |
(neg.f64 z) |
z |
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 x z)) |
(/.f64 x z) |
x |
#s(literal -1 binary64) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
y |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -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 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/2 binary64)) |
(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(literal -1/2 binary64) |
#s(literal -2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0.03125 | (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) | |
| accuracy | 0.0390625 | (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) | |
| accuracy | 0.276386279305326 | (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 16.249741616849555 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) | |
| accuracy | 18.871093991485665 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| accuracy | 0 | #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) | |
| accuracy | 1.426987459992953 | (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) | |
| accuracy | 13.252618185826405 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 14.859013786411516 | #s(approx (+ (sin y) x) (+.f64 y x)) | |
| accuracy | 16.249741616849555 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) | |
| accuracy | 0.0546875 | (/.f64 (cos.f64 y) x) | |
| accuracy | 0.0625 | (/.f64 (sin.f64 y) x) | |
| accuracy | 0.07421875 | (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) | |
| accuracy | 4.763956666812257 | (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
| 66.0ms | 124× | 0 | invalid |
| 42.0ms | 132× | 0 | valid |
Compiled 195 to 41 computations (79% saved)
ival-mult: 38.0ms (42.5% of total)ival-pow: 15.0ms (16.8% of total)ival-add: 12.0ms (13.4% of total)ival-cos: 8.0ms (8.9% of total)ival-div: 6.0ms (6.7% of total)ival-sin: 6.0ms (6.7% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (cos.f64 y) x) (patch (/.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (sin y) x) (+.f64 y x)) (patch #s(approx (+ (sin y) x) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) (patch #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #<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 (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (+ x z) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) (patch (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (patch (pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sin y) (* z (cos y))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt 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 | |
|---|---|---|---|---|
| 34.0ms | x | @ | inf | ((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y))) |
| 4.0ms | x | @ | -inf | ((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y))) |
| 4.0ms | x | @ | 0 | ((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y))) |
| 4.0ms | y | @ | inf | ((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y))) |
| 4.0ms | y | @ | -inf | ((+ (* (+ (* z (/ (cos y) x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/ (cos y) x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (+ y x) (* (neg z) (+ (* (/ x z) -1) -1)) (+ (* (/ x z) -1) -1) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (+ (* z (cos y)) (+ x (sin y))) (cos y) (/ (sin y) x) (+ x (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 709 | 8261 |
| 1 | 2198 | 7915 |
| 2 | 7755 | 7847 |
| 0 | 8116 | 7313 |
| 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)))) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ 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 z)) |
(/ (+ (* -1 x) (* -1 z)) z) |
(/ (+ (* -1 x) (* -1 z)) z) |
(/ (+ (* -1 x) (* -1 z)) 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) |
(+ 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)))) |
(sqrt (/ 1 (+ x (sin y)))) |
(+ (sqrt (/ 1 (+ x (sin y)))) (* -1/2 (* (* z (cos y)) (sqrt (/ 1 (pow (+ x (sin y)) 3)))))) |
(+ (sqrt (/ 1 (+ x (sin y)))) (* z (+ (* -1/2 (* (cos y) (sqrt (/ 1 (pow (+ x (sin y)) 3))))) (* -1/2 (* (* z (+ (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))) (* 1/4 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (sqrt (+ x (sin y)))))))) |
(+ (sqrt (/ 1 (+ x (sin y)))) (* z (+ (* -1/2 (* (cos y) (sqrt (/ 1 (pow (+ x (sin y)) 3))))) (* z (+ (* -1/2 (* (sqrt (+ x (sin y))) (+ (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))) (* 1/4 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3)))))) (* -1/2 (* (* z (+ (* 1/2 (/ (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))) (* 1/4 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (+ x (sin y)))) (/ (pow (cos y) 3) (pow (+ x (sin y)) 4)))) (sqrt (+ x (sin y)))))))))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ 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) (+ (* 2 (/ (sin y) z)) (/ x z))) (/ (sin y) z))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
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(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ x (sin y)) |
(+ x (sin y)) |
(+ x (sin y)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
-1 |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
(- (* -1 (/ x z)) 1) |
(+ (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)))) |
(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)))) |
(sqrt (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (sqrt (/ 1 (+ (sin y) (* z (cos y))))) (* -1/2 (* x (sqrt (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))))) |
(+ (sqrt (/ 1 (+ (sin y) (* z (cos y))))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (* 3/8 (* x (sqrt (/ 1 (pow (+ (sin y) (* z (cos y))) 5)))))))) |
(+ (sqrt (/ 1 (+ (sin y) (* z (cos y))))) (* x (+ (* -1/2 (sqrt (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (* x (+ (* -5/16 (* x (sqrt (/ 1 (pow (+ (sin y) (* z (cos y))) 7))))) (* 3/8 (sqrt (/ 1 (pow (+ (sin y) (* z (cos y))) 5))))))))) |
(+ (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) |
(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) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (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 |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
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 (/ (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)))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sin y) (* z (cos y))) 2))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow (+ (sin y) (* z (cos y))) 2))) (pow (+ (sin y) (* z (cos y))) 3)))) (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sin y) (* z (cos y))) 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)))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos y) x) |
(/ (cos 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 (/ 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))) |
(* -1 (/ x z)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ 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 (/ (+ (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))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sin y) (* z (cos y))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (+ (sin y) (* z (cos y))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/4 (/ (* x (pow (+ (sin y) (* z (cos y))) 2)) (pow (sqrt -1) 2))) (pow (+ (sin y) (* z (cos y))) 3))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
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))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
| 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)) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) |
(* -1 (* x (+ (/ 1 x) (/ 1 z)))) |
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 z x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (+ (sin y) (* z (cos y))) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (+ (sin y) (* z (cos y))) 2))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1/4 (/ (* x (pow (+ (sin y) (* z (cos y))) 2)) (pow (sqrt -1) 2))) (pow (+ (sin y) (* z (cos y))) 3))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 3))) (+ (sin y) (* z (cos y))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) #s(literal -1 binary64)) #s(literal -1/4 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (sqrt.f64 x))) (pow.f64 x #s(literal 3 binary64)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 222 |
| 0 | 68 | 219 |
| 1 | 313 | 215 |
| 2 | 2529 | 215 |
| 0 | 9217 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) |
(fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) |
(/.f64 (cos.f64 y) x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (sin y) x) (+.f64 y x)) |
(+.f64 y x) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) |
(fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) |
(cos.f64 y) |
(/.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
| Outputs |
|---|
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#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
Compiled 20 440 to 2 560 computations (87.5% saved)
35 alts after pruning (30 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 983 | 17 | 1 000 |
| Fresh | 8 | 13 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 994 | 35 | 1 029 |
| Status | Accuracy | Program |
|---|---|---|
| 63.5% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| ▶ | 63.5% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 50.7% | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/4 binary64)) #s(literal -4 binary64)) | |
| 51.2% | (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) | |
| 26.0% | (pow.f64 #s(approx (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #s(literal -2 binary64)) | |
| 55.8% | (/.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))))) | |
| 46.8% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))) | |
| 63.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 z x)))) | |
| 47.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| ▶ | 38.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
| 51.0% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) | |
| ▶ | 55.0% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
| 47.5% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z)) | |
| ▶ | 86.6% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) |
| ✓ | 86.5% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) |
| 53.9% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x)) | |
| 86.5% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x x)) | |
| 70.5% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) | |
| 58.0% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) | |
| 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) | |
| 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| ▶ | 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
| ✓ | 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 63.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal -1 binary64)))) | |
| 24.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) | |
| 25.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 15.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) | |
| ✓ | 30.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
| ✓ | 18.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
| 30.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) | |
| 52.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) | |
| 52.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) | |
| 27.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) | |
| 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
Compiled 764 to 623 computations (18.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| cost-diff | 704 | (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (+.f64 (+.f64 y x) z) | |
| cost-diff | 0 | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) | |
| cost-diff | 1600 | (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 240 |
| 0 | 72 | 250 |
| 1 | 122 | 250 |
| 2 | 226 | 220 |
| 3 | 721 | 214 |
| 4 | 2203 | 210 |
| 5 | 5048 | 206 |
| 0 | 8315 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) |
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
(/.f64 z x) |
z |
x |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y x) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) |
(-.f64 z x) |
z |
x |
(*.f64 (+.f64 x z) (-.f64 z x)) |
(+.f64 x z) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
| Outputs |
|---|
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) |
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) |
(cos.f64 y) |
y |
(/.f64 z x) |
z |
x |
(/.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 x y) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 (+.f64 x y) z) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
z |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) |
(+.f64 x z) |
#s(literal 1 binary64) |
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (+.f64 x z)) |
(-.f64 z x) |
z |
x |
(*.f64 (+.f64 x z) (-.f64 z x)) |
(+.f64 x z) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
(cos.f64 y) |
y |
z |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0390625 | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) | |
| accuracy | 18.871093991485665 | #s(approx (+ (sin y) x) (sin.f64 y)) | |
| accuracy | 0 | (*.f64 (+.f64 x z) (-.f64 z x)) | |
| accuracy | 0.0546875 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) | |
| accuracy | 13.252618185826405 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| accuracy | 16.304941051968022 | (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.09765625 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 22.609224701466644 | #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (+.f64 (+.f64 y x) z) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 15.217881704805617 | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) | |
| accuracy | 0 | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) | |
| accuracy | 0.05859375 | (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) | |
| accuracy | 0.0625 | (/.f64 (sin.f64 y) x) | |
| accuracy | 4.763956666812257 | (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) |
| 102.0ms | 124× | 0 | invalid |
| 86.0ms | 132× | 0 | valid |
Compiled 198 to 46 computations (76.8% saved)
ival-div: 60.0ms (47.8% of total)ival-add: 18.0ms (14.3% of total)ival-pow: 18.0ms (14.3% of total)ival-mult: 13.0ms (10.3% of total)ival-cos: 7.0ms (5.6% of total)ival-sin: 6.0ms (4.8% of total)ival-sub: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) (patch (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) (patch #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) (patch #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 y x) z) (patch (+.f64 (+.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) (patch #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (patch (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) #<representation binary64>) () ()) |
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x z) (-.f64 z x)) (patch (*.f64 (+.f64 x z) (-.f64 z x)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (patch (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ z x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (patch (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) x) z) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (patch (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) x) (pow z 2)) x)) z) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) (patch (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.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 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.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 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.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 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) 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 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) 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 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) 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 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (sin y) x) (sin.f64 y)) (patch #s(approx (+ (sin y) x) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) x) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) x) (patch (/.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 z x)) (patch (*.f64 (+.f64 x z) (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 z x)) (patch (*.f64 (+.f64 x z) (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 z x)) (patch (*.f64 (+.f64 x z) (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x z) (-.f64 z x)) (patch (*.f64 (+.f64 x z) (-.f64 z x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x))) |
| 4.0ms | z | @ | inf | ((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x))) |
| 3.0ms | x | @ | -inf | ((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x))) |
| 2.0ms | y | @ | -inf | ((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x))) |
| 2.0ms | y | @ | inf | ((+ (* (+ (* (cos y) (/ z x)) (/ (sin y) x)) x) x) (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (+ (* (cos y) (/ z x)) (/ (sin y) x)) (cos y) (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+ (+ y x) z) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ (- z x) (* (+ x z) (- z x)))) (/ (- z x) (* (+ x z) (- z x))) (+ (+ x (sin y)) (* z (cos y))) (- z x) (+ (* (cos y) z) (+ (sin y) x)) (+ (sin y) x) (sin y) (/ (sin y) x) (* (+ x z) (- z x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 802 | 7748 |
| 1 | 2528 | 7376 |
| 0 | 8315 | 6879 |
| 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)))) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(/ (sin y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 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 |
(+ 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)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1 x) |
(- z x) |
(- z x) |
(- z x) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (* z (+ x (* -1 x)))) |
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x))))) |
(+ (* -1 (pow x 2)) (* z (+ x (+ z (* -1 x))))) |
(* 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) (+ (* 2 (/ (sin y) z)) (/ x z))) (/ (sin y) z))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (/ (pow (sin y) 2) (* (pow z 2) (cos y))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))) |
(* z (- (+ (cos y) (+ (* 2 (/ (sin y) z)) (+ (* 2 (/ (pow (sin y) 2) (* (pow z 2) (cos y)))) (+ (/ x z) (+ (/ (pow x 3) (* (pow z 3) (pow (cos y) 2))) (+ (/ (pow (sin y) 2) (* (pow z 2) (cos y))) (/ (pow (sin y) 3) (* (pow z 3) (pow (cos y) 2))))))))) (+ (/ (sin y) z) (+ (/ (* (sin y) (- (sin y) x)) (* (pow z 2) (cos y))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 2) (pow (cos y) 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (pow (sin y) 2) (cos y))) (/ (pow (sin y) 2) (cos y))) (+ (/ (* (sin y) (- (sin y) x)) (cos y)) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ x (* 2 (sin y))) (sin y))) (pow (cos y) 2)) (/ (pow x 2) (cos y)))))) (* (pow z 3) (pow (cos y) 2))) (+ (/ (* (+ (* (sin y) (- (sin y) x)) (pow x 2)) (- (+ x (* 2 (sin y))) (sin y))) (* (pow z 3) (pow (cos y) 2))) (/ (pow x 2) (* (pow z 2) (cos y)))))))))) |
(/ (* z (cos y)) x) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* x z)))) |
(* z (+ (/ (cos y) x) (/ (sin y) (* 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 |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ 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)))) |
(/ 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 |
(* z (+ 1 (/ x z))) |
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(/ 1 z) |
(/ (+ 1 (* -1 (/ x z))) z) |
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(/ (- (+ 1 (* -1 (/ (pow x 3) (pow z 3)))) (+ (* -1 (/ (pow x 2) (pow z 2))) (/ x z))) z) |
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(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
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(* -1 (* z (+ (* -1 (/ (cos y) x)) (* -1 (/ (sin y) (* x z)))))) |
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(* z (cos y)) |
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(/ z x) |
(+ (/ y x) (/ z x)) |
(+ (* y (+ (* -1/2 (/ (* y z) x)) (/ 1 x))) (/ z x)) |
(+ (* y (+ (* y (+ (* -1/2 (/ z x)) (* -1/6 (/ y x)))) (/ 1 x))) (/ z x)) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
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(+ x z) |
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x |
(+ x y) |
(+ x y) |
(+ x y) |
(+ x z) |
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(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(/ 1 (+ x z)) |
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x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
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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)))) |
(/ y x) |
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(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) x)) (* 1/6 (/ 1 x)))) (/ 1 x))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) x)) (* 1/120 (/ 1 x)))) (* 1/6 (/ 1 x)))) (/ 1 x))) |
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(+ x (* x (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
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y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
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y |
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(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
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(/ (+ (pow x 3) (pow (+ (sin y) (* z (cos y))) 3)) (+ (* (+ (sin y) (* z (cos y))) (- (+ (sin y) (* z (cos y))) x)) (pow x 2))) |
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(cos y) |
(cos y) |
(cos y) |
(cos y) |
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(sin y) |
(sin y) |
(sin y) |
(sin y) |
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y |
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(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
z |
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x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2)) (pow x 2)))) (* -1 (/ (+ (sin y) (* z (cos y))) x)))) |
(* x (- (+ 1 (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) (pow x 3)))) (+ (* -1 (/ (+ (sin y) (* z (cos y))) x)) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2)))))) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
(/ (+ (sin y) (* z (cos y))) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ 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) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 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))) |
(* x (+ 1 (/ (sin y) x))) |
(* x (+ 1 (/ (sin y) x))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos 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 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(/ 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)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
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))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z 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))) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(/ (sin y) x) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) 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)) |
(/ (+ (pow x 3) (pow (sin y) 3)) (+ (* (sin y) (- (sin y) x)) (pow x 2))) |
(/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(+ (* z (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (* z (- (/ (pow (cos y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2)))))) (/ (* (pow (cos y) 2) (sin y)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (+ (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (- (+ (* 2 (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2)))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (* (pow (cos y) 2) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2))))) (/ (* (cos y) (pow (sin y) 2)) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) (/ (* (+ (* (cos y) (sin y)) (* (cos y) (- (sin y) x))) (+ (pow x 3) (pow (sin y) 3))) (pow (+ (* (sin y) (- (sin y) x)) (pow x 2)) 2)))) (+ (/ (pow x 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))) (/ (pow (sin y) 3) (+ (* (sin y) (- (sin y) x)) (pow x 2))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) (/.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 (sin.f64 y) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (fma.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (neg.f64 (cos.f64 y)) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (/.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (cos.f64 y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) (/.f64 (*.f64 (cos.f64 y) (+.f64 (-.f64 (sin.f64 y) x) (sin.f64 y))) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)))))) z))) z (+.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x))))) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) |
(+ (/ (sin y) x) (/ (* z (cos y)) x)) |
(fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
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(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x)) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)) (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 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) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) (/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) x))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(* x (+ 1 (/ z x))) |
(fma.f64 (/.f64 z x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ z x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(/ (- (+ 1 (/ (pow z 2) (pow x 2))) (/ z x)) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z x) (neg.f64 z)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow x 3)))) (+ (* -1 (/ (pow z 2) (pow x 2))) (/ z x))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 z x) (*.f64 z (/.f64 z (*.f64 x x))))) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x)) x x) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (/ z x)) 1)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
(*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x) |
(* (pow x 2) (- (+ (* -1 (/ z x)) (+ (/ z x) (/ (pow z 2) (pow x 2)))) 1)) |
(*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x) |
x |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ (sin y) x)) (* -1 (/ (* z (cos y)) x))) 1))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (/.f64 (sin.f64 y) x))) (neg.f64 x) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (/ (pow (+ (sin y) (* z (cos y))) 2) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (+ (sin y) (* z (cos y))) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (+ (* -1 (pow (+ (sin y) (* z (cos y))) 2)) (pow (+ (sin y) (* z (cos y))) 2))) x)) (* -1 (+ (sin y) (* z (cos y))))) x)) 1))) |
(fma.f64 (neg.f64 x) (neg.f64 (fma.f64 #s(literal 0 binary64) (fma.f64 (cos.f64 y) z (sin.f64 y)) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
(* -1 (/ (+ (* -1 (sin y)) (* -1 (* z (cos y)))) x)) |
(/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (+.f64 z y) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (+.f64 z y) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (+.f64 z y) (neg.f64 x)) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 y) x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 y) x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 y) x) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (cos.f64 y) x) z (-.f64 (/.f64 (sin.f64 y) x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 z) x) x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 z) x) x) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 z) x) 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 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 z x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (neg.f64 x)) x) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 x)) x) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(fma.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 x)) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(/ (sin y) x) |
(/.f64 (sin.f64 y) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (+ z (* -1 z)) x)) 1)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* -1 (/ (+ z (+ (* -1 z) (* -1 (/ (pow z 2) x)))) x)) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 z) z) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 217 |
| 0 | 72 | 215 |
| 1 | 376 | 187 |
| 2 | 2993 | 187 |
| 0 | 9301 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) |
(fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
(+.f64 (+.f64 y x) z) |
(+.f64 y x) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x)))) |
(/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
(-.f64 z x) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
#s(approx (+ (sin y) x) (sin.f64 y)) |
(sin.f64 y) |
(/.f64 (sin.f64 y) x) |
(*.f64 (+.f64 x z) (-.f64 z x)) |
| Outputs |
|---|
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Compiled 21 143 to 3 003 computations (85.8% saved)
44 alts after pruning (36 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 042 | 17 | 1 059 |
| Fresh | 6 | 19 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 050 | 44 | 1 094 |
| Status | Accuracy | Program |
|---|---|---|
| 63.5% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) | |
| ✓ | 63.5% | (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (sin.f64 y))) |
| 50.7% | (pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/4 binary64)) #s(literal -4 binary64)) | |
| 51.2% | (pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) | |
| 26.0% | (pow.f64 #s(approx (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #s(literal -2 binary64)) | |
| 47.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) | |
| 47.4% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) | |
| ✓ | 38.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
| 51.0% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) | |
| 47.5% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z)) | |
| 30.0% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) | |
| 46.7% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) | |
| 36.7% | #s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) | |
| ✓ | 86.6% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) |
| ✓ | 86.5% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) |
| 53.9% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x)) | |
| 86.5% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x x)) | |
| 58.0% | #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) | |
| 30.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) | |
| 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))))) | |
| 19.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) | |
| 25.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) | |
| 19.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) | |
| 13.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) | |
| 20.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) | |
| 29.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 19.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) | |
| 37.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) | |
| 27.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) | |
| 27.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) | |
| ✓ | 54.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 63.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 28.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #s(literal -1 binary64)))) | |
| 24.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) | |
| 25.4% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) | |
| 15.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) | |
| ✓ | 30.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
| ✓ | 18.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (sin.f64 y))) |
| 30.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) | |
| 52.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) | |
| 52.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) | |
| 27.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) | |
| 27.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
Compiled 1 524 to 729 computations (52.2% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (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 (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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 (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.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) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.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 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.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))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x)) |
#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))) |
(pow.f64 #s(approx (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) #s(literal -2 binary64)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) (/.f64 (sin.f64 y) x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 (cos.f64 y) (/.f64 z x) (/.f64 (sin.f64 y) x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 #s(literal 1 binary64) (/.f64 x (cos.f64 y))) (/.f64 (sin.f64 y) x)) x x)) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1/4 binary64)) #s(literal -4 binary64)) |
(/.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))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (sin.f64 y) (-.f64 (sin.f64 y) x) (*.f64 x x)) #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 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) (/.f64 (+.f64 (/.f64 (sin.f64 y) (pow.f64 (cos.f64 y) #s(literal 2 binary64))) (/.f64 x (pow.f64 (cos.f64 y) #s(literal 2 binary64)))) z)) z))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x)) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 (-.f64 (sin.f64 y) x) (sin.f64 y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (cos.f64 y) z)) |
(/.f64 #s(approx (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (cos.f64 y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) (-.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (*.f64 x x))) |
(*.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 (-.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))) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
4 calls:
| 26.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 23.0ms | y |
| 22.0ms | z |
| 21.0ms | x |
| 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 (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (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 (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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 (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.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) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.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 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.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))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x)) |
#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 (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) |
4 calls:
| 18.0ms | x |
| 17.0ms | z |
| 16.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 15.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 3 | x |
| 85.4% | 5 | y |
| 92.8% | 5 | z |
| 87.9% | 5 | (+.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 (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (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 (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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 (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.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) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.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 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.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))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 (fma.f64 z (/.f64 (cos.f64 y) x) #s(approx (/ (sin y) x) (/.f64 y x))) x x)) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
2 calls:
| 15.0ms | z |
| 15.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 5 | z |
| 84.1% | 4 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (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 (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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 (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.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) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.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 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (*.f64 (cos.f64 y) z)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (*.f64 (cos.f64 y) z)) |
(fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) |
(+.f64 #s(approx (+ x (sin y)) (+.f64 y x)) (*.f64 z (cos.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
1 calls:
| 15.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (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 (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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 (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.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) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.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 (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))) (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 (sin.f64 y) x)) |
4 calls:
| 14.0ms | y |
| 14.0ms | x |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | y |
| 70.6% | 4 | x |
| 77.1% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 77.9% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (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 (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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 (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.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) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#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:
| 41.0ms | z |
| 39.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 63.8% | 1 | z |
| 67.1% | 3 | y |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
#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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (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 (/ (- z x) (* (+ x z) (- z x))) (/.f64 #s(literal 1 binary64) z)))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (+.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 x (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.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 (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) #s(approx (* (+ x z) (- z x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (neg.f64 x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (neg.f64 x)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) z)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- z x) (* (+ x z) (- z x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z x)) (*.f64 (-.f64 z x) (*.f64 x x))) (*.f64 (-.f64 z x) (-.f64 z x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z x) (*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x)) (*.f64 (+.f64 x z) (-.f64 z x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z x) (*.f64 (+.f64 x z) #s(approx (- z x) (*.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) #s(approx (* (+ x z) (- z x)) (*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal 0 binary64)) #s(literal 1 binary64)) x) x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (-.f64 z x)))) (*.f64 (+.f64 x z) (-.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)) |
3 calls:
| 15.0ms | y |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 3 | y |
| 63.8% | 1 | x |
| 63.8% | 1 | (+.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 (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) #s(approx (+ (+ y x) z) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (pow (pow (+ (* z (cos y)) (+ x (sin y))) -1/2) -2) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) #s(literal -1 binary64))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) #s(approx (+ y x) (fma.f64 (/.f64 y x) x x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y x))) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* (cos y) (/ z x)) (/ (sin y) x)) (/.f64 z x)) x x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (*.f64 (neg.f64 z) #s(approx (+ (* (/ x z) -1) -1) (/.f64 (neg.f64 x) z))))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 6.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.8% | 1 | x |
| 63.8% | 1 | y |
Compiled 2 to 6 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
4 calls:
| 1.0ms | y |
| 1.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.5% | 1 | z |
| 30.5% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 30.5% | 1 | x |
| 30.5% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.5861155662149294e-21 | 4.834593026432163e-20 |
| 14.0ms | -5.831309948127486e-21 | -1.694511160162328e-21 |
| 21.0ms | 192× | 0 | valid |
Compiled 228 to 230 computations (-0.9% saved)
ival-sin: 6.0ms (38.6% of total)ival-add: 4.0ms (25.7% of total)ival-cos: 4.0ms (25.7% of total)ival-mult: 1.0ms (6.4% 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 | 6.80915701537396e+90 | 9.529698317608487e+92 |
| 16.0ms | 2.228418659664289e-29 | 1.803594432878996e-25 |
| 36.0ms | -2.7846128847675262e-31 | -1.436828399003136e-40 |
| 41.0ms | -3.41881474156295e+225 | -5.70595069079777e+224 |
| 61.0ms | 480× | 0 | valid |
Compiled 510 to 530 computations (-3.9% saved)
ival-mult: 21.0ms (44% of total)ival-sin: 12.0ms (25.2% of total)ival-cos: 10.0ms (21% of total)ival-add: 5.0ms (10.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 2.6843302674187987e+47 | 2.086839007742528e+48 |
| 20.0ms | -2.2761150254454033e+46 | -5.603379103429511e+41 |
| 29.0ms | 224× | 0 | valid |
Compiled 152 to 210 computations (-38.2% saved)
ival-sin: 9.0ms (50.1% of total)ival-cos: 5.0ms (27.8% of total)ival-add: 2.0ms (11.1% of total)ival-mult: 2.0ms (11.1% 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 |
|---|---|---|
| 19.0ms | 1.076091930251461e-5 | 65915.798209098 |
| 26.0ms | -3.1207669247261454e+24 | -16872888355427774000.0 |
| 28.0ms | 304× | 0 | valid |
Compiled 335 to 356 computations (-6.3% saved)
ival-sin: 9.0ms (44.4% 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)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9885349450150186 | 858.0506639403094 |
| 0.0ms | 4.356651150347303e-9 | 0.06488926701048245 |
| 0.0ms | -0.13512614911062898 | -0.00035580171140786566 |
| 3.0ms | -1414.361909237017 | -2.651079807717169 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 243888559218831.28 | 8501792991196064.0 |
| 3.0ms | -3.1207669247261454e+24 | -16872888355427774000.0 |
| 14.0ms | 128× | 0 | valid |
Compiled 268 to 286 computations (-6.7% saved)
ival-cos: 4.0ms (39.2% of total)ival-sin: 4.0ms (39.2% of total)ival-add: 1.0ms (9.8% of total)ival-mult: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 632 |
| 1 | 114 | 632 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(if (<=.f64 x #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) (if (<=.f64 x #s(literal 1536919870126309/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)))) |
(if (<=.f64 z #s(literal -920000000000000078831622865325876285087883222654306262167828017238728213981269006428357506252260987752993596303383953985545769398007131391645547477434078685940732000931022671888315043778052564711169426822197748458337775648768 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal -1883966954371867/11417981541647679048466287755595961091061972992 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) (if (<=.f64 z #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 949999999999999954364365197901080201947539902188411456249696600638887942652009049459410337792 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -32000000000000001436342805698429337137577984 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 269999999999999995612449939249236946593391837184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 y #s(literal -17000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 3098476543630901/72057594037927936 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 (sin.f64 y) x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1000 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 -3602879701896397/36028797018963968 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 3022314549036573/604462909807314587353088 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 1 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 -18000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 750000000000000 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)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) 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 x #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) (if (<=.f64 x #s(literal 1536919870126309/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)))) |
(if (<=.f64 x #s(literal -15057660889751/2596148429267413814265248164610048 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x x)) (if (<=.f64 x #s(literal 1536919870126309/41538374868278621028243970633760768 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x x)))) |
(if (<=.f64 z #s(literal -920000000000000078831622865325876285087883222654306262167828017238728213981269006428357506252260987752993596303383953985545769398007131391645547477434078685940732000931022671888315043778052564711169426822197748458337775648768 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 y x))) (if (<=.f64 z #s(literal -1883966954371867/11417981541647679048466287755595961091061972992 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) (if (<=.f64 z #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 z #s(literal 949999999999999954364365197901080201947539902188411456249696600638887942652009049459410337792 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 (cos.f64 y) z) x)) x x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))))) |
(if (<=.f64 z #s(literal -920000000000000078831622865325876285087883222654306262167828017238728213981269006428357506252260987752993596303383953985545769398007131391645547477434078685940732000931022671888315043778052564711169426822197748458337775648768 binary64)) (fma.f64 (cos.f64 y) z #s(approx (+ (sin y) x) (+.f64 x y))) (if (<=.f64 z #s(literal -1883966954371867/11417981541647679048466287755595961091061972992 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x x)) (if (<=.f64 z #s(literal 4529838868451533/348449143727040986586495598010130648530944 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 z #s(literal 949999999999999954364365197901080201947539902188411456249696600638887942652009049459410337792 binary64)) #s(approx (/ (+ (pow (+ (* (cos y) z) (sin y)) 3) (pow x 3)) (+ (* (+ (* (cos y) z) (sin y)) (- (+ (* (cos y) z) (sin y)) x)) (* x x))) (fma.f64 #s(approx (+ (* z (/ (cos y) x)) (/ (sin y) x)) (/.f64 (*.f64 z (cos.f64 y)) x)) x x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))))) |
(if (<=.f64 z #s(literal -32000000000000001436342805698429337137577984 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal 269999999999999995612449939249236946593391837184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)))) |
(if (<=.f64 z #s(literal -32000000000000001436342805698429337137577984 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))) (if (<=.f64 z #s(literal 269999999999999995612449939249236946593391837184 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 z (cos.f64 y))))) |
(if (<=.f64 y #s(literal -17000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 3098476543630901/72057594037927936 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 (sin.f64 y) x)))) |
(if (<=.f64 y #s(literal -17000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) (if (<=.f64 y #s(literal 3098476543630901/72057594037927936 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 (sin.f64 y))))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -1000 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 -3602879701896397/36028797018963968 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 3022314549036573/604462909807314587353088 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 1 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 -1000 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 -3602879701896397/36028797018963968 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 3022314549036573/604462909807314587353088 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 1 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 -18000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 750000000000000 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 -18000000000000000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) (if (<=.f64 y #s(literal 750000000000000 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)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (sin y) x) (+.f64 x y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 746 | 8087 |
| 1 | 2458 | 7623 |
| 0 | 8272 | 7093 |
| 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 |
| 0 | 709 | 8261 |
| 1 | 2198 | 7915 |
| 2 | 7755 | 7847 |
| 0 | 8116 | 7313 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 432 to 230 computations (46.8% saved)
Compiled 540 to 176 computations (67.4% saved)
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