
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)
| 1.3s | 8 253× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-sin: 226.0ms (36.4% of total)ival-cos: 208.0ms (33.5% of total)ival-add: 124.0ms (20% of total)ival-mult: 54.0ms (8.7% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (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 |
| 97.0ms | 512× | 0 | valid |
Compiled 85 to 36 computations (57.6% saved)
ival-cos: 37.0ms (45.9% of total)ival-add: 26.0ms (32.3% of total)ival-sin: 14.0ms (17.4% of total)ival-mult: 3.0ms (3.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 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 | (+.f64 x (sin.f64 y)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.11328125 | (*.f64 z (cos.f64 y)) |
| 28.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-sin: 8.0ms (39.4% of total)ival-add: 6.0ms (29.6% of total)ival-cos: 5.0ms (24.6% of total)ival-mult: 2.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor 0 z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf z) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y z)) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) (taylor 0 y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) (taylor 0 y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1/2 (* (pow y 2) z))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* 1/24 (* (pow y 2) z))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* (pow y 2) (+ (* -1/2 z) (* (pow y 2) (+ (* -1/720 (* (pow y 2) z)) (* 1/24 z)))))) (taylor 0 y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (pow y 2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) (taylor 0 y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor -inf y) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor -inf y) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (cos y)) (taylor -inf y) (#s(alt (*.f64 z (cos.f64 y)) (patch (*.f64 z (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (+ (sin y) (* z (cos y))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) (taylor inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) (patch (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (sin y) x)) 1))) (taylor -inf x) (#s(alt (+.f64 x (sin.f64 y)) (patch (+.f64 x (sin.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | z | @ | inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | -inf | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1.0ms | y | @ | 0 | ((+ (+ x (sin y)) (* z (cos y))) (+ x (sin y)) (sin y) (* z (cos y)) (cos y)) |
| 1× | egg-herbie |
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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 263 | 10 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 264 | 10 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| 37.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 55.4% | (/.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))))) | |
| 58.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| ▶ | 59.0% | #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))) |
| ▶ | 55.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 64.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) | |
| ▶ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ▶ | 68.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 39.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
Compiled 256 to 196 computations (23.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (+.f64 (sin.f64 y) x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| cost-diff | 0 | (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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 160 |
| 0 | 40 | 152 |
| 1 | 63 | 152 |
| 2 | 93 | 152 |
| 3 | 191 | 152 |
| 4 | 269 | 152 |
| 5 | 276 | 152 |
| 6 | 293 | 152 |
| 7 | 317 | 152 |
| 0 | 317 | 152 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(cos.f64 y) |
y |
z |
(sin.f64 y) |
| Outputs |
|---|
(/.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) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x z)) |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
(+.f64 x z) |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 x (sin.f64 y))) |
(+.f64 (sin.f64 y) x) |
(+.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 z (cos.f64 y) (sin.f64 y))) |
(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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.05078125 | (fma.f64 (cos.f64 y) z (sin.f64 y)) | |
| accuracy | 28.356436721819474 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) | |
| accuracy | 0 | (+.f64 (sin.f64 y) x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 24.15650510896453 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) | |
| accuracy | 26.24574360028874 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) | |
| accuracy | 0 | (+.f64 z x) | |
| accuracy | 20.449092593534452 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.03515625 | (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) | |
| accuracy | 0.11328125 | (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64)) | |
| accuracy | 0.234375 | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) |
| 80.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 265 to 46 computations (82.6% saved)
ival-cos: 36.0ms (55.7% of total)ival-add: 9.0ms (13.9% of total)ival-mult: 8.0ms (12.4% of total)ival-sin: 5.0ms (7.7% of total)ival-pow: 4.0ms (6.2% of total)ival-div: 2.0ms (3.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (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 (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) (patch (fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (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))) (fma.f64 (cos.f64 y) z (sin.f64 y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #<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>) () ()) |
| Outputs |
|---|
#s(alt (+ x (sin y)) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#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 (/ 1 (+ x (sin y))) (taylor 0 z) (#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 (+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#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 (+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#s(alt (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 (+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) (taylor 0 z) (#s(alt (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 (+ 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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#s(alt (* x (+ 1 (/ (sin y) x))) (taylor inf x) (#s(alt (+.f64 (sin.f64 y) x) (patch (+.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#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 (/ 1 x) (taylor -inf x) (#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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 2.0ms | z | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 2.0ms | y | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 2.0ms | z | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 2.0ms | y | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (+ (* (cos y) z) (+ (sin y) x)) (cos y) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) z) 1) (* -1/2 y) (+ (+ x (sin y)) (* z (cos y))) (+ (sin y) x) (sin y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 337 | 4315 |
| 1 | 1006 | 4275 |
| 2 | 3036 | 4081 |
| 0 | 8128 | 3752 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (sin y))) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (/ (* z (pow (cos y) 2)) (pow (+ x (sin y)) 3)) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ (* z (- (* z (- (* -1 (/ (* z (pow (cos y) 3)) (pow (+ x (sin y)) 4))) (* -1 (/ (pow (cos y) 2) (pow (+ x (sin y)) 3))))) (/ (cos y) (pow (+ x (sin y)) 2)))) (/ 1 (+ x (sin y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(+ x z) |
(+ x z) |
(+ x z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (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)))) |
(/ 1 (* z (cos y))) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/ (- (+ (/ 1 (cos y)) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2))))) z) |
(/ (- (+ (* -1 (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 3) (pow (cos y) 2)))) (/ 1 (cos y))) (+ (* -1 (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* (pow z 2) (cos y)))) (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))))) z) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
z |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (+ 1 (/ x z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (+ (* -1/2 y) (/ 1 z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(/ 1 (* z (cos y))) |
(* -1 (/ (- (+ (/ x (* z (pow (cos y) 2))) (/ (sin y) (* z (pow (cos y) 2)))) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (cos y))) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ x (sin y)) 2) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (* z (pow (cos y) 2))) (/ (* (+ x (sin y)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) (cos y))) z)) (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2)))) z)) (/ 1 (cos y))) z)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* -1 (* z (- (* -1 (/ x z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* -1 (* z (- (* 1/2 y) (/ 1 z)))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* -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))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(/ 1 (+ x z)) |
(+ (* -1 (/ y (pow (+ x z) 2))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (/ 1 (pow (+ x z) 3)) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ (* y (- (* y (- (+ (* y (- (+ (* -1/2 (/ z (pow (+ x z) 3))) (* 1/6 (/ 1 (pow (+ x z) 2)))) (+ (* 1/2 (/ z (pow (+ x z) 3))) (/ 1 (pow (+ x z) 4))))) (/ 1 (pow (+ x z) 3))) (* -1/2 (/ z (pow (+ x z) 2))))) (/ 1 (pow (+ x z) 2)))) (/ 1 (+ x z))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* -1/2 (* y z))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
x |
(+ x y) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(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) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* y z)) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* y (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ 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)))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (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)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(/ 1 (+ x (+ (sin y) (* z (cos y))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1/2 (* y z)) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1 (* y (- (* 1/2 z) (/ 1 y)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (sin y)) |
(+ 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)))) |
(+ (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 (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ (sin y) (* z (cos y)))) |
(+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 2))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (/ x (pow (+ (sin y) (* z (cos y))) 3)) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ (sin y) (* z (cos y))) 4))) (/ 1 (pow (+ (sin y) (* z (cos y))) 3)))) (/ 1 (pow (+ (sin y) (* z (cos y))) 2)))) (/ 1 (+ (sin y) (* z (cos y))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ 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)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ (sin y) (* z (cos y))) x))) x) |
(/ (- (+ 1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ (sin y) (* z (cos y))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ (sin y) (* z (cos y))) 2) (pow x 2))) (+ (/ (sin y) x) (/ (* z (cos y)) x)))) x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ (sin y) x))) |
(* 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 |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ (sin y) (* z (cos y))) 3) x) (pow (+ (sin y) (* z (cos y))) 2)) x)) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) 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))) |
| Outputs |
|---|
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(/ 1 (+ x (sin y))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) |
(+ (* -1 (/ (* z (cos y)) (pow (+ x (sin y)) 2))) (/ 1 (+ x (sin y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) (/.f64 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 (/.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))) |
(+ (* 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 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (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))) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
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(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z (+.f64 y x)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(sin y) |
(sin.f64 y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
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) |
(/.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 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) 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 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 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) (/ (* 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 (/ 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) |
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 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) y #s(literal 1 binary64)) x) y (/.f64 z 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) |
x |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
(* x (+ 1 (/ (sin y) x))) |
(fma.f64 (/.f64 (sin.f64 y) x) x x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(fma.f64 (fma.f64 (/.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 |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ (sin y) x) (/ (* z (cos y)) x)) 1) x)) |
(/.f64 (-.f64 #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))) 2) x) (+ (sin y) (* z (cos y)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) #s(literal 1 binary64)) 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 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) (+.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) #s(literal 3 binary64)))) x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
(* -1 (* x (- (* -1 (/ (sin y) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 131 |
| 0 | 40 | 123 |
| 1 | 175 | 123 |
| 2 | 1327 | 123 |
| 0 | 8256 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(cos.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
(+.f64 z x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
(+.f64 (sin.f64 y) x) |
(sin.f64 y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
| Outputs |
|---|
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Compiled 20 965 to 2 047 computations (90.2% saved)
22 alts after pruning (19 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 959 | 18 | 977 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 965 | 22 | 987 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| 37.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 39.1% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) | |
| 62.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) | |
| 44.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| ▶ | 58.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (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))) |
| ▶ | 64.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
| ▶ | 39.1% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
| ✓ | 55.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 32.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) | |
| 58.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) | |
| ✓ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 68.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ▶ | 7.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
| 40.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) | |
| 24.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) | |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) | |
| 29.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) | |
| ▶ | 29.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| 19.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) | |
| 63.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
Compiled 452 to 384 computations (15% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) z) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (+.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 233 |
| 0 | 60 | 233 |
| 1 | 102 | 219 |
| 2 | 171 | 219 |
| 3 | 300 | 219 |
| 4 | 519 | 219 |
| 5 | 659 | 219 |
| 6 | 707 | 219 |
| 7 | 798 | 219 |
| 8 | 798 | 219 |
| 0 | 798 | 210 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
(+.f64 z y) |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(*.f64 z y) |
z |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
| Outputs |
|---|
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 x (+.f64 y z))) |
(+.f64 (+.f64 z y) x) |
(+.f64 x (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
x |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 y z))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 y z)) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) |
(*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(*.f64 z y) |
(*.f64 y z) |
z |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(literal -1/6 binary64) |
y |
(*.f64 #s(literal -1/2 binary64) z) |
#s(literal -1/2 binary64) |
z |
#s(literal 1 binary64) |
(+.f64 z x) |
(+.f64 x z) |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
y |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.11328125 | (*.f64 (cos.f64 y) z) | |
| accuracy | 38.921700044160936 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) | |
| accuracy | 0.16796875 | (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) | |
| accuracy | 26.84992140244246 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) | |
| accuracy | 26.24574360028874 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) | |
| accuracy | 34.037672104393806 | #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 28.356436721819474 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) | |
| accuracy | 29.950934190291356 | #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 z y) x) | |
| accuracy | 23.050350431801757 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
| 80.0ms | 255× | 0 | valid |
| 6.0ms | 1× | 3 | valid |
Compiled 304 to 63 computations (79.3% saved)
ival-mult: 26.0ms (40.2% of total)ival-add: 16.0ms (24.7% of total)ival-cos: 7.0ms (10.8% of total)ival-sin: 6.0ms (9.3% of total)const: 4.0ms (6.2% of total)ival-pow: 4.0ms (6.2% of total)ival-div: 2.0ms (3.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) (patch #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) z) (patch (*.f64 (cos.f64 y) z) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor 0 z) (#s(alt #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) (patch #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (sin y) (* z (cos y))) (taylor 0 z) (#s(alt #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) (patch #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) #<representation binary64>) () ())) ()) |
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#s(alt (+ y (* -1/2 (* (pow y 2) z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (* -1/6 (pow y 2))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/6 y) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 z) (* -1/6 y)) (taylor 0 z) (#s(alt (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) (patch (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (+.f64 z y) x) (patch (+.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<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))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<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))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<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))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) #<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))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) #<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))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) #<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))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) (patch #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) (* z y)) y) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y)) |
| 2.0ms | z | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) (* z y)) y) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y)) |
| 2.0ms | z | @ | 0 | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) (* z y)) y) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y)) |
| 2.0ms | y | @ | -inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) (* z y)) y) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y)) |
| 2.0ms | y | @ | inf | ((/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ z y) (+ (+ x (sin y)) (* z (cos y))) (+ (* (cos y) z) (sin y)) (+ (+ x (sin y)) (* z (cos y))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+ (* (* -1/2 y) (* z y)) y) (* -1/2 y) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (* (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) y) (+ z x)) (+ (* (+ (* -1/6 y) (* -1/2 z)) y) 1) (+ (* -1/6 y) (* -1/2 z)) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 4213 |
| 1 | 806 | 4125 |
| 2 | 2556 | 4006 |
| 3 | 6123 | 3905 |
| 0 | 8436 | 3475 |
| 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 y) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(sin y) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x y) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
y |
(+ y (* -1/2 (* (pow y 2) z))) |
(+ y (* -1/2 (* (pow y 2) z))) |
(+ y (* -1/2 (* (pow y 2) z))) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(* -1/6 y) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (+ (cos y) (/ (sin y) z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ y z))))) |
(* -1/2 (* (pow y 2) z)) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(* z (+ (* -1/2 (pow y 2)) (/ y z))) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ 1 (* -1/2 (pow y 2)))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* z (+ 1 (+ (* -1/2 (pow y 2)) (+ (/ x z) (/ (* y (+ 1 (* -1/6 (pow y 2)))) z))))) |
(* -1/2 (* y z)) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* z (+ (* -1/2 y) (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))) |
(* -1/2 z) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (- (* -1/6 (/ y z)) 1/2)) |
(* z (cos y)) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
z |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (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))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x y) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ y z)) (* 1/2 (pow y 2))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (- (* 1/2 (pow y 2)) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1 (* z (- (+ (* -1 (/ (+ x (* y (+ 1 (* -1/6 (pow y 2))))) z)) (* 1/2 (pow y 2))) 1))) |
(* -1/2 (* y z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* -1/6 (pow y 2))) z)) (* 1/2 y)))) |
(* -1/2 z) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* -1 (* z (+ 1/2 (* 1/6 (/ y z))))) |
(* z (cos y)) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* -1 (* z (+ (* -1 (cos y)) (* -1 (/ (+ x (sin y)) z))))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
z |
(+ y z) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
y |
(* y (+ 1 (* -1/2 (* y z)))) |
(* y (+ 1 (* -1/2 (* y z)))) |
(* y (+ 1 (* -1/2 (* y z)))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
1 |
(+ 1 (* -1/2 (* y z))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))) |
(* -1/2 z) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ (* -1/2 z) (* -1/6 y)) |
(+ x z) |
(+ x (+ y z)) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
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)))) |
y |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
(* y (+ 1 (+ (/ x y) (/ z y)))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (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)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* (pow y 2) (+ (* -1/2 z) (+ (/ 1 y) (+ (/ x (pow y 2)) (/ z (pow y 2)))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* (pow y 3) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 3) (- (+ (* -1/2 (/ z y)) (+ (/ 1 (pow y 2)) (+ (/ x (pow y 3)) (/ z (pow y 3))))) 1/6)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (/ 1 (pow y 2))) 1/6)) |
(* -1/6 y) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(* y (- (* -1/2 (/ z y)) 1/6)) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
y |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (sin y) (* z (cos y))) |
(+ (sin y) (* z (cos y))) |
(+ (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)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* (pow y 2) (+ (* -1/2 z) (/ 1 y))) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(* -1/2 y) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* -1/6 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1/2 z) (/ 1 y)) y))))) |
(* -1 (* (pow y 3) (+ 1/6 (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ x z) y)) 1) y)) (* -1/2 z)) y))))) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (* -1/2 (/ z y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* (pow y 2) (- (* -1 (/ (- (* 1/2 z) (/ 1 y)) y)) 1/6)) |
(* -1/6 y) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(* -1 (* y (+ 1/6 (* 1/2 (/ z y))))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(* 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)))) |
(+ y z) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ x (+ y z)) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ x (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
| 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 y) |
(+.f64 y x) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
(+ x (+ y z)) |
(+.f64 (+.f64 z x) y) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ 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)) |
(sin y) |
(sin.f64 y) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 z x)) |
y |
(+ y (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y) |
(+ y (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y) |
(+ y (* -1/2 (* (pow y 2) z))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (* y (+ 1 (* -1/6 (pow y 2))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) (+.f64 y x)) |
(+ x (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(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 (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(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 (+ (* y (+ 1 (* -1/6 (pow y 2)))) (* z (+ 1 (* -1/2 (pow y 2)))))) |
(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)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (* y z)) (* -1/6 (pow y 2)))) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(* -1/6 y) |
(*.f64 #s(literal -1/6 binary64) y) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
(+ (* -1/2 z) (* -1/6 y)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
(+ (* -1/2 z) (* -1/6 y)) |
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(+ 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)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ z (* y (+ 1 (* 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 z) |
(+ 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 (+ 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 (+ 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)) |
(+ (sin y) (* z (cos y))) |
(fma.f64 (cos.f64 y) z (sin.f64 y)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
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 (+ (/ y x) (/ z x)))) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(fma.f64 (+.f64 (/.f64 z x) (/.f64 y x)) x x) |
x |
(* x (+ 1 (+ (/ (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) (/ (* 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 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) x) y (/.f64 z 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) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (fma.f64 (/.f64 y x) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (fma.f64 (/.f64 y x) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y))))) x)))) |
(fma.f64 (fma.f64 (/.f64 y x) (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) (/.f64 z 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) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(fma.f64 (/.f64 (+.f64 z y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(fma.f64 (/.f64 (+.f64 z y) x) x x) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(fma.f64 (/.f64 (+.f64 z y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y z) x) x x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y z) x) x x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y z) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(fma.f64 (/.f64 (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 z) x) x x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(fma.f64 (/.f64 (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 z) x) x x) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* y (+ (* -1/2 z) (* -1/6 y)))))) x)) 1))) |
(fma.f64 (/.f64 (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 z) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(fma.f64 (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 205 |
| 0 | 60 | 199 |
| 1 | 274 | 191 |
| 2 | 2236 | 191 |
| 0 | 8302 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
(+.f64 (+.f64 z y) x) |
(+.f64 z y) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x)) |
(fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(*.f64 (cos.f64 y) z) |
(cos.f64 y) |
| Outputs |
|---|
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Compiled 13 459 to 1 318 computations (90.2% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 692 | 9 | 701 |
| Fresh | 3 | 11 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 696 | 27 | 723 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| 37.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 39.1% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) | |
| 62.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) | |
| ▶ | 44.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
| 58.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| ✓ | 64.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
| ✓ | 39.1% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
| 24.3% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| ▶ | 24.5% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
| 25.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) | |
| 46.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) | |
| 49.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) | |
| ▶ | 40.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
| 24.4% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) | |
| ✓ | 55.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 32.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) | |
| ▶ | 58.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) |
| ✓ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 68.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| ✓ | 7.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) | |
| 2.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) | |
| ✓ | 29.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| 19.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) | |
| ▶ | 63.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
Compiled 522 to 441 computations (15.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) | |
| 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 | (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ z y) x) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) | |
| cost-diff | 0 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) | |
| cost-diff | 896 | (fma.f64 (/.f64 z x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 254 |
| 0 | 59 | 249 |
| 1 | 99 | 241 |
| 2 | 156 | 229 |
| 3 | 299 | 229 |
| 4 | 511 | 229 |
| 5 | 1230 | 229 |
| 6 | 3011 | 229 |
| 7 | 3501 | 229 |
| 8 | 4115 | 229 |
| 9 | 5432 | 229 |
| 10 | 5598 | 229 |
| 11 | 5858 | 229 |
| 12 | 6983 | 229 |
| 13 | 7115 | 229 |
| 14 | 7337 | 229 |
| 0 | 8611 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) |
(fma.f64 (/.f64 z x) x x) |
(/.f64 z x) |
z |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (+ (+ z y) x) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#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(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 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 x z) |
x |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ z x) (+.f64 x z))) |
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) |
#s(approx (+ z x) (+.f64 x z)) |
(fma.f64 (/.f64 z x) x x) |
(+.f64 x z) |
(/.f64 z x) |
z |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (+ (+ z y) x) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) |
(*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
#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(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 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) |
#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 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
z |
(+.f64 x z) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) | |
| accuracy | 0.13460613840754043 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) | |
| accuracy | 0.1953125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) | |
| accuracy | 26.24574360028874 | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.234375 | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 35.29330617014166 | #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.11328125 | (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) | |
| accuracy | 30.257876682017663 | #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 38.921700044160936 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 20.653817505345522 | #s(approx (+ (+ z y) x) (+.f64 y x)) | |
| accuracy | 23.050350431801757 | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0 | #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) | |
| accuracy | 6.531453153185248 | (fma.f64 (/.f64 z x) x x) | |
| accuracy | 20.449092593534452 | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
| 107.0ms | 256× | 0 | valid |
Compiled 349 to 64 computations (81.7% saved)
ival-add: 44.0ms (48.9% of total)ival-mult: 22.0ms (24.4% of total)ival-div: 8.0ms (8.9% of total)ival-sin: 6.0ms (6.7% of total)ival-cos: 5.0ms (5.6% of total)ival-pow: 4.0ms (4.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) (patch #s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ z y) x) (+.f64 y x)) (patch #s(approx (+ (+ z y) x) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) (patch #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<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 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z x) x x) (patch (fma.f64 (/.f64 z x) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (sin y)) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (sin y) (* z (cos y)))) (taylor 0 z) (#s(alt #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) (patch #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | ((+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (/ z x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y) (+ (* (* y y) -1/2) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (* y y)) |
| 3.0ms | z | @ | -inf | ((+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (/ z x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y) (+ (* (* y y) -1/2) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (* y y)) |
| 2.0ms | z | @ | inf | ((+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (/ z x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y) (+ (* (* y y) -1/2) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (* y y)) |
| 2.0ms | z | @ | 0 | ((+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (/ z x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y) (+ (* (* y y) -1/2) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (* y y)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ z x) x) x) (+ (+ x (sin y)) (* z (cos y))) (+ z x) (/ z x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+ (+ z y) x) (+ y x) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (* (cos y) z) (cos y) (+ (* (* y y) -1/2) 1) (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/ 1 x) (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (+ (+ x (sin y)) (* z (cos y))) (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 559 | 6173 |
| 1 | 1712 | 6098 |
| 2 | 5633 | 5958 |
| 0 | 8164 | 5513 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x z) |
(+ x z) |
(+ x z) |
(+ x (sin y)) |
(+ x (+ (sin y) (* z (cos y)))) |
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x |
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(pow y 2) |
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y |
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(cos y) |
(cos y) |
(cos y) |
(cos y) |
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(* z (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1/2 (pow y 2)) |
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(+ (sin y) (* z (cos y))) |
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z |
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(/ 1 x) |
(/ 1 x) |
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(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ (sin y) (* z (cos y))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(+ x (+ (sin y) (* z (cos y)))) |
(/ 1 (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ (* -1 (/ x (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2))) (/ 1 (+ z (* y (+ 1 (* -1/2 (* y z))))))) |
(+ (* x (- (/ x (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 3)) (/ 1 (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2)))) (/ 1 (+ z (* y (+ 1 (* -1/2 (* y z))))))) |
(+ (* x (- (* x (+ (* -1 (/ x (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 4))) (/ 1 (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 3)))) (/ 1 (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2)))) (/ 1 (+ z (* y (+ 1 (* -1/2 (* y z))))))) |
(+ z (* y (+ 1 (* -1/2 (* y z))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
(+ x (+ z (* y (+ 1 (* -1/2 (* y z)))))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(* x (+ 1 (/ z x))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
(* x (+ 1 (+ (/ y x) (/ z x)))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
x |
(* x (+ 1 (+ (/ (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) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(* x (+ 1 (+ (/ (sin y) x) (/ (* z (cos y)) x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x))) x) |
(/ (- (+ 1 (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x))) x) |
(/ (- (+ 1 (* -1 (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 3) (pow x 3)))) (+ (* -1 (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2) (pow x 2))) (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) x) |
x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ 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 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (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 (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(/ 1 x) |
(* -1 (/ (- (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2) x) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 3) x) (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2)) x)) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x)) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
| Outputs |
|---|
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 |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y z) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y z) x) |
(+ x (+ y z)) |
(+.f64 (+.f64 y 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)) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(+ x (sin y)) |
(+.f64 (sin.f64 y) x) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(+ x (+ (sin y) (* z (cos y)))) |
(fma.f64 (cos.f64 y) z (+.f64 (sin.f64 y) x)) |
(/ 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 (cos.f64 y) (/.f64 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 (/.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))) |
(+ (* 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 (pow.f64 (cos.f64 y) #s(literal 3 binary64))) (/.f64 z (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))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.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)) |
(/ 1 (+ x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+ (* -1 (* z (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (/ 1 (+ x y))) |
(fma.f64 (neg.f64 z) (fma.f64 (*.f64 y (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+ (* z (- (/ (* z (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (+ x y)) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (/ 1 (+ x y))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 z (+.f64 y x))) (fma.f64 (*.f64 y (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) z (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+ (* z (- (* z (- (* -1 (/ (* z (* (pow (+ 1 (* -1/2 (pow y 2))) 2) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (pow (+ x y) 2))) (* -1 (/ (* (+ 1 (* -1/2 (pow y 2))) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2)))) (+ x y))))) (+ (* -1/2 (/ (pow y 2) (pow (+ x y) 2))) (/ 1 (pow (+ x y) 2))))) (/ 1 (+ x y))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) z)) (/.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (+.f64 y x))) z) (fma.f64 (*.f64 y (/.f64 y (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) z (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
(+ x (+ y (* z (+ 1 (* -1/2 (pow y 2)))))) |
(fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y (+.f64 z x)) |
z |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
z |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(* z (+ 1 (/ x z))) |
(fma.f64 (/.f64 x z) z z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
z |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(* z (+ 1 (+ (/ x z) (/ y z)))) |
(fma.f64 (+.f64 (/.f64 y z) (/.f64 x z)) z z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (cos y)) |
(*.f64 (cos.f64 y) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(* z (+ (cos y) (+ (/ x z) (/ (sin y) z)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (sin.f64 y) z) (/.f64 x z)) (cos.f64 y)) z) |
(/ 1 (* z (cos y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 y)) z) |
(/ (+ (* -1 (/ (+ (/ x (pow (cos y) 2)) (/ (sin y) (pow (cos y) 2))) z)) (/ 1 (cos y))) z) |
(/.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) |
(/ (- (+ (/ 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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x |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
(* x (+ 1 (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) y (/.f64 z x)) x x) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (- (* -1 (/ z x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x))) |
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y z) x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(/ 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 (-.f64 #s(literal -1 binary64) (/.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)) (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 (-.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))) x) (fma.f64 (cos.f64 y) z (sin.f64 y))) x) #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 (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x))) |
x |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(* -1 (* x (- (* -1 (/ (+ (sin y) (* z (cos y))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (+ (/ z x) (/ (* y (+ 1 (* -1/2 (* y z)))) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) y (-.f64 (/.f64 z x) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2) x) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 3) x) (pow (+ z (* y (+ 1 (* -1/2 (* y z))))) 2)) x)) (+ z (* y (+ 1 (* -1/2 (* y z)))))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #s(literal 3 binary64)) x) (pow.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) #s(literal 2 binary64))) x) (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z)) x) #s(literal 1 binary64)) (neg.f64 x)) |
x |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x))) |
(* -1 (* x (- (* -1 (/ (+ z (* y (+ 1 (* -1/2 (* y z))))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y z) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 227 |
| 0 | 59 | 215 |
| 1 | 285 | 211 |
| 2 | 2233 | 208 |
| 0 | 8586 | 199 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z x) x x) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
#s(approx (+ z x) (fma.f64 (/.f64 z x) x x)) |
(/.f64 z x) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (+ (+ z y) x) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
(*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z) |
#s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/.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 #s(literal 1 binary64) (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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) z #s(literal 1 binary64)) y (+.f64 x z)) |
(*.f64 y y) |
| Outputs |
|---|
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Compiled 25 027 to 2 686 computations (89.3% saved)
32 alts after pruning (21 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 007 | 9 | 1 016 |
| Fresh | 3 | 12 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 011 | 32 | 1 043 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #s(literal 2 binary64)) | |
| 37.5% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) | |
| 39.1% | (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) | |
| 55.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) | |
| 62.1% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) | |
| ✓ | 44.7% | (/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) x))) |
| 58.6% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) | |
| ✓ | 64.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (+.f64 (+.f64 z y) x)) |
| ✓ | 39.1% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
| 24.3% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| ✓ | 24.5% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
| 2.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) | |
| 25.0% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) | |
| 46.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) | |
| 49.8% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) | |
| ✓ | 40.9% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
| 24.4% | #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) | |
| ✓ | 55.6% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| 32.7% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) | |
| 40.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) | |
| 7.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))) | |
| 24.5% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))) | |
| 2.8% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y)))) | |
| ✓ | 62.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
| ✓ | 68.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
| 2.9% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) | |
| ✓ | 7.3% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
| ✓ | 29.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| 19.0% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) | |
| ✓ | 63.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
| 63.2% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x))) | |
| 41.1% | #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z)))))) |
Compiled 869 to 501 computations (42.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(/.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 (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* (cos y) z) (+ (sin y) x)) (*.f64 (cos.f64 y) z)) #s(literal -1 binary64))) |
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (+.f64 x (sin.f64 y)))) #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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (fma.f64 (cos.f64 y) z (sin.f64 y))) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (cos.f64 y) z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) x) (-.f64 (pow.f64 (fma.f64 z (cos.f64 y) (sin.f64 y)) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 z) (cos.f64 y) (+.f64 (sin.f64 y) x)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 y) x) #s(literal 2 binary64)))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
4 calls:
| 33.0ms | z |
| 32.0ms | x |
| 13.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(/.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 (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
4 calls:
| 32.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 28.0ms | y |
| 11.0ms | z |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.8% | 3 | x |
| 85.2% | 3 | y |
| 88.2% | 4 | z |
| 85.6% | 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 (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(/.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 (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 (cos.f64 y) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (pow (+ (* (cos y) z) (+ (sin y) x)) -1) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 y) x)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) |
2 calls:
| 11.0ms | x |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 4 | z |
| 74.6% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(/.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 (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (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 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) |
2 calls:
| 10.0ms | z |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | y |
| 81.7% | 3 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(/.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 (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (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 (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 16.0ms | y |
| 10.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 1 | z |
| 84.7% | 5 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 73.5% | 3 | y |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(/.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 (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (* (cos y) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64))) (*.f64 y y) z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 x z)) x x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (*.f64 (fma.f64 (*.f64 y z) #s(literal -1/2 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) (-.f64 (*.f64 x x) (*.f64 z z))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))) #s(approx (+ z x) (/.f64 (fma.f64 x (/.f64 x (*.f64 x z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x z)))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 y z) z))) y) y)))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 24.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 9.0ms | x |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 3 | y |
| 73.1% | 3 | x |
| 73.3% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
(/.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 (+ (* (cos y) z) (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)) (+.f64 y x))))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 41.0ms | y |
| 7.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 73.3% | 3 | y |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x 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 (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 y x) z) z z))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (fma.f64 (/.f64 (+.f64 z x) y) y y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (*.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)) |
2 calls:
| 6.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 3 | y |
| 73.1% | 3 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
#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 (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (*.f64 (*.f64 z y) y) #s(literal -1/2 binary64)))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (/ 1 (/ 1 (+ (* (+ (* (* -1/2 y) z) 1) y) (+ x z)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) (*.f64 (*.f64 y y) #s(literal -1/2 binary64)))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) z))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 z y) y))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64))) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ z x) (fma.f64 (/.f64 z x) x x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
2 calls:
| 5.0ms | y |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 3 | x |
| 73.1% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) #s(approx (+ (+ z y) x) (+.f64 y x))) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) z)) |
#s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (*.f64 #s(approx (cos y) #s(approx (+ (* (* y y) -1/2) 1) #s(literal 1 binary64))) z)) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) |
3 calls:
| 22.0ms | y |
| 3.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.4% | 3 | x |
| 68.0% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 68.0% | 1 | y |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) |
4 calls:
| 2.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.0% | 3 | z |
| 40.9% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 40.9% | 1 | y |
| 52.4% | 3 | x |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| Outputs |
|---|
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
4 calls:
| 7.0ms | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.2% | 1 | y |
| 29.2% | 1 | (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
| 29.2% | 1 | z |
| 29.2% | 1 | x |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 2035895898.6922987 | 64503414040850.23 |
| 18.0ms | -1.0566120597794619e-16 | -2.5567190505650747e-26 |
| 23.0ms | 272× | 0 | valid |
Compiled 199 to 252 computations (-26.6% saved)
ival-sin: 6.0ms (37.9% of total)ival-cos: 5.0ms (31.6% of total)ival-add: 2.0ms (12.6% of total)ival-mult: 2.0ms (12.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 7.407552315135842e+29 | 4.23649508851522e+33 |
| 11.0ms | -2.390169863296847e-6 | -3.720653858626945e-7 |
| 20.0ms | -3.0861625618457946e+137 | -1.286930173573612e+127 |
| 39.0ms | 384× | 0 | valid |
Compiled 236 to 334 computations (-41.5% saved)
ival-sin: 9.0ms (40.9% of total)ival-cos: 7.0ms (31.8% of total)ival-add: 3.0ms (13.6% of total)ival-mult: 3.0ms (13.6% 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 |
|---|---|---|
| 37.0ms | 1.0869757278482384e+28 | 4.196706950711178e+39 |
| 19.0ms | -4.1384672200471817e+46 | -1.640092999476043e+43 |
| 43.0ms | 288× | 0 | valid |
Compiled 372 to 374 computations (-0.5% saved)
ival-cos: 21.0ms (58.2% of total)ival-sin: 10.0ms (27.7% of total)ival-add: 3.0ms (8.3% of total)ival-mult: 2.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9402758463080607 | 1483.8595481184877 |
| 0.0ms | 8.934424170675268e-21 | 0.00032144781168408414 |
| 0.0ms | -0.18009037115843327 | -3.693166873231795e-5 |
| 0.0ms | -86.6928886460346 | -0.9990765141310632 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 0.0003214478172198816 | 3878.1883596595403 |
| 1.0ms | -4.1384672200471817e+46 | -1.640092999476043e+43 |
| 43.0ms | 144× | 0 | valid |
Compiled 335 to 337 computations (-0.6% saved)
ival-sin: 5.0ms (42.9% of total)ival-cos: 4.0ms (34.3% of total)ival-add: 1.0ms (8.6% of total)ival-mult: 1.0ms (8.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032144781168408414 | 0.1593109209594876 |
| 0.0ms | -0.18009037115843327 | -3.693166873231795e-5 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.5295104358115383e+46 | 4.170995646600405e+46 |
| 11.0ms | -4.1384672200471817e+46 | -1.640092999476043e+43 |
| 7.0ms | 64× | 0 | valid |
Compiled 188 to 201 computations (-6.9% saved)
ival-cos: 2.0ms (38.4% of total)ival-sin: 2.0ms (38.4% of total)ival-add: 1.0ms (19.2% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 58.0ms | 1.3204271458830798e+67 | 6.206883664864834e+80 |
| 35.0ms | -9.475395080998913e+122 | -6.569443228489604e+112 |
| 54.0ms | 320× | 0 | valid |
Compiled 212 to 274 computations (-29.2% saved)
ival-cos: 17.0ms (37.2% of total)ival-mult: 14.0ms (30.6% of total)ival-sin: 12.0ms (26.2% of total)ival-add: 3.0ms (6.6% 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 |
|---|---|---|
| 99.0ms | 1.712501667296788e-158 | 2.1472685952039952e-142 |
| 20.0ms | -6.879693111851513e-120 | -8.621909126912164e-142 |
| 27.0ms | 336× | 0 | valid |
Compiled 201 to 287 computations (-42.8% saved)
ival-sin: 7.0ms (38.2% of total)ival-cos: 6.0ms (32.8% of total)ival-add: 3.0ms (16.4% of total)ival-mult: 2.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 9.991652748279867e+72 | 1.1454468536102086e+73 |
| 15.0ms | -7.83465497695462e-9 | -1.116115498692817e-11 |
| 13.0ms | 160× | 0 | valid |
Compiled 112 to 154 computations (-37.5% saved)
ival-sin: 4.0ms (42% of total)ival-cos: 3.0ms (31.5% of total)ival-add: 1.0ms (10.5% of total)ival-mult: 1.0ms (10.5% 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 | 128 | 737 |
| 1 | 141 | 737 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(if (<=.f64 x #s(literal -7788445287802241/1298074214633706907132624082305024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 2050000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 z #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7177997053961861/18889465931478580854784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 38000000000000001318565697290240 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 -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 10999999999999999321529384960 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 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 (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (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 (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 y #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -17500000000000000553386214500319742203527168 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35999999999999998738913005111509245414210535424 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 -279999999999999997521478001303803783131026931395330434614881290979344594895598451883092786678163525275859080445952 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 13499999999999999542459821588873869492187716576813186756927910051840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -6711759383179383/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 3251168171837857/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -290142196707511/9671406556917033397649408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (if (<=.f64 x #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
| Outputs |
|---|
(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) |
(+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) |
(if (<=.f64 x #s(literal -7788445287802241/1298074214633706907132624082305024 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 2050000000 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (cos.f64 y) z (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 z #s(literal -99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (*.f64 (cos.f64 y) z)) (if (<=.f64 z #s(literal -7177997053961861/18889465931478580854784 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 z #s(literal 38000000000000001318565697290240 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 -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)) (if (<=.f64 y #s(literal 10999999999999999321529384960 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (sin.f64 y) x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -50 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 (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (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 (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -50 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) (if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 6646139978924579/664613997892457936451903530140172288 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) (if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 1 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (sin.f64 y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))))) |
(if (<=.f64 y #s(literal -16500000000000000663243006732916359780368384 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35/2 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) y (*.f64 #s(literal -1/2 binary64) z)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 (+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))) #s(literal -3602879701896397/36028797018963968 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 1152921504606847/2305843009213693952 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal -3602879701896397/36028797018963968 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 (+.f64 (+.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)) #s(literal 1152921504606847/2305843009213693952 binary64)) #s(approx (/ 1 (pow (+ (* (cos y) z) (+ (sin y) x)) -1)) (fma.f64 (fma.f64 #s(approx (+ (* -1/6 y) (* -1/2 z)) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) y (+.f64 z x))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 y #s(literal -17500000000000000553386214500319742203527168 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 35999999999999998738913005111509245414210535424 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 -279999999999999997521478001303803783131026931395330434614881290979344594895598451883092786678163525275859080445952 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 y #s(literal 13499999999999999542459821588873869492187716576813186756927910051840 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 (+.f64 y x) z)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -6711759383179383/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)) (if (<=.f64 x #s(literal 3251168171837857/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) (+.f64 z x)))) |
(if (<=.f64 x #s(literal -290142196707511/9671406556917033397649408 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))) (if (<=.f64 x #s(literal 9999999999999999830336967949613257980309080240684656321838454199566729216 binary64)) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) #s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (+ (* (* -1/2 y) z) 1) y) (+ z x)) (+.f64 y x))))) |
#s(approx (+ (+ x (sin y)) (* z (cos y))) #s(approx (+ (* (cos y) z) (sin y)) (+.f64 z y))) |
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 |
| 0 | 8 | 21 |
| 0 | 13 | 21 |
| 1 | 43 | 21 |
| 2 | 362 | 21 |
| 3 | 5548 | 21 |
| 0 | 8320 | 20 |
| 0 | 263 | 4213 |
| 1 | 806 | 4125 |
| 2 | 2556 | 4006 |
| 3 | 6123 | 3905 |
| 0 | 8436 | 3475 |
| 0 | 337 | 4315 |
| 1 | 1006 | 4275 |
| 2 | 3036 | 4081 |
| 0 | 8128 | 3752 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 541 to 294 computations (45.7% saved)
Compiled 714 to 226 computations (68.3% saved)
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