
Time bar (total: 8.2s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-cos: 266.0ms (38% of total)ival-sin: 240.0ms (34.3% of total)ival-mult: 147.0ms (21% of total)ival-sub: 38.0ms (5.4% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (cos.f64 y)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (cos.f64 y) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 z (sin.f64 y)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 63.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-mult: 21.0ms (44.4% of total)ival-sin: 12.0ms (25.4% of total)ival-cos: 11.0ms (23.2% of total)ival-sub: 2.0ms (4.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 178× | distribute-lft-neg-in |
| 166× | associate-*r* |
| 148× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 87 |
| 1 | 90 | 84 |
| 2 | 169 | 84 |
| 3 | 375 | 84 |
| 4 | 665 | 84 |
| 5 | 872 | 84 |
| 6 | 1052 | 84 |
| 7 | 1105 | 84 |
| 8 | 1113 | 84 |
| 9 | 1117 | 84 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 20 | 9 |
| 2 | 32 | 9 |
| 3 | 44 | 9 |
| 4 | 65 | 9 |
| 5 | 95 | 9 |
| 6 | 153 | 9 |
| 7 | 223 | 9 |
| 8 | 282 | 9 |
| 9 | 311 | 9 |
| 10 | 327 | 9 |
| 0 | 327 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.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 (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 x (cos.f64 y)) | |
| cost-diff | 0 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 144× | lower-*.f32 |
| 140× | lower-*.f64 |
| 64× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 13 | 24 |
| 1 | 20 | 24 |
| 2 | 32 | 24 |
| 3 | 44 | 24 |
| 4 | 65 | 24 |
| 5 | 95 | 24 |
| 6 | 153 | 24 |
| 7 | 223 | 24 |
| 8 | 282 | 24 |
| 9 | 311 | 24 |
| 10 | 327 | 24 |
| 0 | 327 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 (cos.f64 y) x)) |
(*.f64 x (cos.f64 y)) |
(*.f64 (cos.f64 y) x) |
x |
(cos.f64 y) |
y |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.12109375 | (*.f64 x (cos.f64 y)) | |
| accuracy | 0.15625 | (*.f64 z (sin.f64 y)) |
| 33.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-cos: 6.0ms (33% of total)ival-sin: 6.0ms (33% of total)ival-mult: 5.0ms (27.5% of total)ival-sub: 1.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ (* x (cos y)) z) (sin y))) (taylor inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) (taylor -inf z) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1/2 (* x y)) z))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) (taylor 0 y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/2 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) (taylor 0 y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (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 (* y z) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1/6 (* (pow y 2) z)))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) (taylor 0 y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor -inf y) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf y) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (cos y) (taylor -inf y) (#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor -inf y) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* x (cos y)) (* z (sin y))) (taylor 0 x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) (patch (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 x (cos.f64 y)) (patch (*.f64 x (cos.f64 y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | z | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | y | @ | inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | 0 | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1.0ms | x | @ | -inf | ((- (* x (cos y)) (* z (sin y))) (* x (cos y)) (cos y) (* z (sin y))) |
| 1× | egg-herbie |
| 12 044× | lower-fma.f64 |
| 12 044× | lower-fma.f32 |
| 4 682× | lower-*.f64 |
| 4 682× | lower-*.f32 |
| 1 796× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 840 | 613 |
| 3 | 2068 | 607 |
| 4 | 3600 | 607 |
| 5 | 6269 | 607 |
| 0 | 8467 | 586 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
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))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 z y)) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/2 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(fma.f64 (*.f64 x (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) x) |
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)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(*.f64 z (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 (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) z (*.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) z))) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(cos y) |
(cos.f64 y) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
| 10 986× | lower-fma.f64 |
| 10 986× | lower-fma.f32 |
| 4 356× | lower-*.f32 |
| 4 352× | lower-*.f64 |
| 3 866× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) x) (cos.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
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(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)) |
(+.f64 (*.f64 (cos.f64 y) x) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (cos.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (cos.f64 y))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (cos.f64 y) #s(literal 1 binary64))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 y) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) |
(cos.f64 y) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (sin.f64 y)))) |
(*.f64 (exp.f64 (log.f64 (sin.f64 y))) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal 1 binary64))) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z))) |
Compiled 12 734 to 737 computations (94.2% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 18 | 325 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 307 | 19 | 326 |
| Status | Accuracy | Program |
|---|---|---|
| 39.6% | (fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) | |
| 79.3% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 56.4% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| ▶ | 67.9% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| ▶ | 39.6% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
| 32.4% | (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) | |
| 22.6% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) | |
| 99.6% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) | |
| 39.6% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 73.3% | (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) | |
| 46.7% | (-.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y))) | |
| 56.4% | (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) | |
| 43.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) | |
| 43.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) | |
| ▶ | 44.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| ▶ | 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 57.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
Compiled 901 to 472 computations (47.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) | |
| cost-diff | 14208 | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (-.f64 x (*.f64 z y)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 5 180× | lower-fma.f32 |
| 5 172× | lower-fma.f64 |
| 3 600× | lower-*.f32 |
| 3 592× | lower-*.f64 |
| 1 864× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 248 |
| 0 | 58 | 233 |
| 1 | 108 | 233 |
| 2 | 282 | 233 |
| 3 | 1187 | 233 |
| 4 | 5115 | 233 |
| 5 | 7054 | 233 |
| 0 | 8044 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 0 binary64) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
z |
(sin.f64 y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (neg.f64 z) y x)) |
(-.f64 x (*.f64 z y)) |
(fma.f64 (neg.f64 z) y x) |
x |
(*.f64 z y) |
z |
y |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(neg.f64 z) |
z |
(sin.f64 y) |
y |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) (neg.f64 z) (*.f64 x (cos.f64 y))) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
#s(literal 1 binary64) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 (sin.f64 y) z) |
#s(literal 0 binary64) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
#s(literal 3 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
(fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) |
(fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) |
(fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.18330004884221007 | (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) | |
| accuracy | 0.2458000488422101 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) | |
| accuracy | 2.1054563649812352 | (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) | |
| accuracy | 37.72000085019779 | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| accuracy | 0.15625 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.232753759768442 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) | |
| accuracy | 0.2421875 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) | |
| accuracy | 20.343438239413324 | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.15625 | (*.f64 (neg.f64 z) (sin.f64 y)) | |
| accuracy | 36.72900927123093 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0 | (-.f64 x (*.f64 z y)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 35.744425449063364 | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0625 | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| accuracy | 0.15625 | (*.f64 (neg.f64 z) (sin.f64 y)) |
| 83.0ms | 256× | 0 | valid |
Compiled 245 to 35 computations (85.7% saved)
ival-mult: 14.0ms (22.1% of total)ival-sin: 12.0ms (18.9% of total)ival-cos: 11.0ms (17.4% of total)ival-pow: 7.0ms (11% of total)ival-add: 5.0ms (7.9% of total)ival-pow2: 5.0ms (7.9% of total)ival-div: 3.0ms (4.7% of total)ival-sub: 3.0ms (4.7% of total)ival-neg: 2.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (patch (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) (patch (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (sin.f64 y)) (patch (*.f64 (neg.f64 z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y z))) (taylor 0 z) (#s(alt (-.f64 x (*.f64 z y)) (patch (-.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) (patch (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow z 2) (pow (sin y) 2))) (taylor 0 z) (#s(alt (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (pow (sin y) 2)) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* z (- (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor 0 z) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (patch (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (pow (cos y) 3)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (patch (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 114.0ms | x | @ | -inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (cos y) x) 3) (* (cos y) x) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (pow (* (sin y) z) 3)) |
| 29.0ms | y | @ | 0 | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (cos y) x) 3) (* (cos y) x) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (pow (* (sin y) z) 3)) |
| 6.0ms | z | @ | 0 | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (cos y) x) 3) (* (cos y) x) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (pow (* (sin y) z) 3)) |
| 6.0ms | y | @ | inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (cos y) x) 3) (* (cos y) x) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (pow (* (sin y) z) 3)) |
| 6.0ms | y | @ | -inf | ((+ (* (cos y) x) (* (neg z) (sin y))) (cos y) (* (neg z) (sin y)) (neg z) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* z y) (- (* x (cos y)) (* z (sin y))) (sin y) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (+ 0 (* (sin y) z)))) (* (cos y) x)) (+ 0 (* (sin y) z)) (neg (pow (* (sin y) z) 2)) (pow (* (sin y) z) 2) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (pow (* (cos y) x) 3) (* (cos y) x) (/ 1 (+ 0 (* (sin y) z))) (* (sin y) z) (pow (* (sin y) z) 3)) |
| 1× | egg-herbie |
| 6 802× | lower-fma.f64 |
| 6 802× | lower-fma.f32 |
| 6 464× | lower-*.f64 |
| 6 464× | lower-*.f32 |
| 1 460× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 4796 |
| 1 | 1588 | 4664 |
| 2 | 5957 | 4647 |
| 0 | 8805 | 4548 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(+ (* x (cos y)) (* z (- (* z (- (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(* (pow x 3) (pow (cos y) 3)) |
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3))) |
(+ (* -1 (* (pow z 3) (pow (sin y) 3))) (* (pow x 3) (pow (cos y) 3))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (* -1 (sin y)) (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* -1 (* (pow z 3) (pow (sin y) 3))) |
(* (pow z 3) (- (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (- (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(* (pow z 3) (- (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3)) (pow (sin y) 3))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* -1 (* (pow z 3) (pow (sin y) 3))) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (* (pow x 3) (pow (cos y) 3)) (pow z 3))) (* -1 (pow (sin y) 3))))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
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 |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (- (* 1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (- (* (pow y 2) (- (* -2/45 (* (pow y 2) (pow z 2))) (* -1/3 (pow z 2)))) (pow z 2))) |
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* 1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))) (* -1/3 (pow z 2)))) (pow z 2))) |
(* (pow y 2) (pow z 2)) |
(* (pow y 2) (+ (* -1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* 2/45 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* (pow y 2) (+ (* (pow y 2) (+ (* -1/3 (pow z 2)) (* (pow y 2) (+ (* -1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))))) (pow z 2))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (/ (* z (+ (* -1/2 x) (* -1/6 x))) x) (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) z))) |
(pow x 3) |
(+ (* -3/2 (* (pow x 3) (pow y 2))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* -1 (* y (pow z 3))))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* y (- (* 7/8 (* (pow x 3) y)) (pow z 3))))) (pow x 3)) |
(pow x 3) |
(+ (* -3/2 (* (pow x 3) (pow y 2))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* 7/8 (* (pow x 3) (pow y 2))))) (pow x 3)) |
(+ (* (pow y 2) (+ (* -3/2 (pow x 3)) (* (pow y 2) (+ (* -61/240 (* (pow x 3) (pow y 2))) (* 7/8 (pow x 3)))))) (pow x 3)) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* (pow y 3) (pow z 3)) |
(* (pow y 3) (+ (* -1/2 (* (pow y 2) (pow z 3))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* 13/120 (* (pow y 2) (pow z 3))))) (pow z 3))) |
(* (pow y 3) (+ (* (pow y 2) (+ (* -1/2 (pow z 3)) (* (pow y 2) (+ (* -41/3024 (* (pow y 2) (pow z 3))) (* 13/120 (pow z 3)))))) (pow z 3))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(* (pow z 2) (pow (sin y) 2)) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* (pow z 3) (pow (sin y) 3)) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(* -1 (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (pow (cos y) 3))) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (pow (cos y) 3))) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (pow (cos y) 3))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* (pow x 3) (pow (cos y) 3)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
| Outputs |
|---|
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
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(* -1 (* z (sin y))) |
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(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* (pow z 3) (pow (sin y) 3))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) |
(fma.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (- (+ (cos y) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(*.f64 (-.f64 (+.f64 (cos.f64 y) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (*.f64 x x))) (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (*.f64 x x)))) x) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (pow (cos y) 3))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (pow (cos y) 3))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* -1 (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))) (pow (cos y) 3))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (pow (cos y) 3)) (/ (* (pow z 3) (pow (sin y) 3)) (pow x 3))))) |
(*.f64 (-.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (pow (cos y) 3)) |
(*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
| 8 534× | lower-fma.f32 |
| 8 526× | lower-fma.f64 |
| 3 198× | lower-*.f32 |
| 3 190× | lower-*.f64 |
| 2 178× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 171 |
| 0 | 58 | 135 |
| 1 | 251 | 135 |
| 2 | 1969 | 124 |
| 0 | 8800 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
(cos.f64 y) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(-.f64 x (*.f64 z y)) |
(*.f64 z y) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(sin.f64 y) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) |
(*.f64 (cos.f64 y) x) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) |
(*.f64 (sin.f64 y) z) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x (cos.f64 y)) z) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y))) (pow.f64 (*.f64 (*.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) z) (sin.f64 y)) #s(literal 2 binary64)))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x (cos.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (sin.f64 y) z) (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
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(fma.f64 (neg.f64 y) z x) |
(fma.f64 #s(literal -1 binary64) (*.f64 z y) x) |
(fma.f64 (neg.f64 z) y x) |
(fma.f64 z (neg.f64 y) x) |
(fma.f64 y (neg.f64 z) x) |
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(-.f64 (/.f64 (*.f64 x x) (fma.f64 z y x)) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 z y x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (fma.f64 z y x) (*.f64 x x)))) |
(-.f64 x (*.f64 z y)) |
(+.f64 (*.f64 (neg.f64 z) y) x) |
(+.f64 x (*.f64 (neg.f64 z) y)) |
(*.f64 z y) |
(*.f64 y z) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
(pow.f64 (sin.f64 y) #s(literal 1 binary64)) |
(sin.f64 y) |
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(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (sin.f64 y) z)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (sin.f64 y) z)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (*.f64 (sin.f64 y) z)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (sin.f64 y) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 3/2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (*.f64 (sin.f64 y) z)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (sin.f64 y) z) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 (sin.f64 y) (*.f64 z (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(fma.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(fma.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(fma.f64 z (*.f64 (sin.f64 y) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 3 binary64) (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 3/2 binary64) (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 3/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 3 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal 3 binary64) (*.f64 (log.f64 z) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) |
Compiled 92 733 to 5 087 computations (94.5% saved)
28 alts after pruning (24 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 994 | 22 | 3 016 |
| Fresh | 11 | 2 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 007 | 28 | 3 035 |
| Status | Accuracy | Program |
|---|---|---|
| 79.3% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 66.4% | (fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (neg.f64 z)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 56.4% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 26.6% | (fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z)) | |
| ▶ | 44.7% | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) |
| 65.4% | (fma.f64 (neg.f64 #s(approx (pow (* (sin y) z) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 73.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 23.9% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (* (sin y) z) (*.f64 z y)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 22.8% | (/.f64 #s(approx (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 56.4% | (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) | |
| 32.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 43.4% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 90.5% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| 88.2% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| ▶ | 57.8% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
| 43.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) | |
| 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) | |
| ✓ | 44.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 16.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (sin.f64 y))) | |
| 2.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| ✓ | 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| ▶ | 16.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) |
| 41.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) | |
| ▶ | 14.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| 14.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
Compiled 820 to 591 computations (27.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) | |
| cost-diff | 1024 | (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z) | |
| cost-diff | 13248 | (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) | |
| cost-diff | 19968 | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) | |
| cost-diff | 320 | (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) | |
| cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (*.f64 (cos.f64 y) x) | |
| cost-diff | 0 | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) | |
| cost-diff | 7040 | (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
| 4 466× | lower-*.f32 |
| 4 456× | lower-*.f64 |
| 4 300× | lower-fma.f32 |
| 4 296× | lower-fma.f64 |
| 2 380× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 261 |
| 0 | 75 | 225 |
| 1 | 142 | 211 |
| 2 | 314 | 211 |
| 3 | 1410 | 208 |
| 4 | 5346 | 208 |
| 0 | 8261 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) |
(neg.f64 z) |
z |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(log.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) |
(*.f64 (cos.f64 y) x) |
(cos.f64 y) |
x |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
#s(literal -1 binary64) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (neg.f64 y) z) |
(*.f64 (neg.f64 z) y) |
(neg.f64 y) |
y |
z |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 x (cos.f64 y))) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
y |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(sin.f64 y) |
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(log.f64 (sin.f64 y)) |
(log.f64 (sin.f64 y)) |
(sin.f64 y) |
y |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 x (cos.f64 y))) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) |
(*.f64 (sin.f64 y) z) |
(*.f64 z (sin.f64 y)) |
(sin.f64 y) |
y |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z) |
(*.f64 z (sin.f64 y)) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) |
(*.f64 (*.f64 z (sin.f64 y)) z) |
(*.f64 (cos.f64 y) x) |
(*.f64 x (cos.f64 y)) |
(cos.f64 y) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11328125 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) | |
| accuracy | 2.298271730590212 | (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) | |
| accuracy | 9.774471723396172 | (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) | |
| accuracy | 12.791576437148553 | (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z) | |
| accuracy | 0.0703125 | (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) | |
| accuracy | 0.29166903194468075 | (log.f64 (sin.f64 y)) | |
| accuracy | 1.2553874849539115 | (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) | |
| accuracy | 19.856955386279452 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) | |
| accuracy | 0 | (cos.f64 y) | |
| accuracy | 0.0546875 | (*.f64 (cos.f64 y) x) | |
| accuracy | 11.449475008233712 | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 16.14280763737626 | #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) | |
| accuracy | 17.370855017637304 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) | |
| accuracy | 0.03515625 | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) | |
| accuracy | 0.0703125 | (*.f64 (sin.f64 y) z) | |
| accuracy | 0.1171875 | (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) | |
| accuracy | 0.18016154862386935 | (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
| 67.0ms | 132× | 0 | invalid |
| 43.0ms | 124× | 0 | valid |
Compiled 234 to 43 computations (81.6% saved)
ival-mult: 22.0ms (28.5% of total)ival-pow: 11.0ms (14.2% of total)ival-div: 10.0ms (12.9% of total)ival-cos: 8.0ms (10.4% of total)ival-sin: 6.0ms (7.8% of total)ival-pow2: 5.0ms (6.5% of total)ival-add: 4.0ms (5.2% of total)ival-sub: 3.0ms (3.9% of total)ival-neg: 3.0ms (3.9% of total)ival-exp: 2.0ms (2.6% of total)ival-log: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) (patch #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (cos.f64 y) x) (patch (*.f64 (cos.f64 y) x) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) (patch (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) (patch (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) (patch (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z) (patch (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (patch (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) z) (patch (*.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (log.f64 (sin.f64 y)) (patch (log.f64 (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* z (sin y))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* z (sin y))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* z (sin y))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* z (sin y))) (taylor 0 z) (#s(alt (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) (patch (fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | y | @ | inf | ((/ -1 (pow (* (sin y) z) -1)) (+ (* (cos y) x) (/ -1 (pow (* (sin y) z) -1))) (cos y) (pow (* (sin y) z) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (exp (* (log (sin y)) 1))) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) (* (cos y) x)) (/ (pow (* (sin y) z) 2) (sin y)) (/ (/ (pow (* (sin y) z) 2) (sin y)) z) (neg (pow (* (sin y) z) 2)) (* (sin y) z) (log (sin y)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) |
| 19.0ms | y | @ | -inf | ((/ -1 (pow (* (sin y) z) -1)) (+ (* (cos y) x) (/ -1 (pow (* (sin y) z) -1))) (cos y) (pow (* (sin y) z) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (exp (* (log (sin y)) 1))) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) (* (cos y) x)) (/ (pow (* (sin y) z) 2) (sin y)) (/ (/ (pow (* (sin y) z) 2) (sin y)) z) (neg (pow (* (sin y) z) 2)) (* (sin y) z) (log (sin y)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) |
| 8.0ms | z | @ | 0 | ((/ -1 (pow (* (sin y) z) -1)) (+ (* (cos y) x) (/ -1 (pow (* (sin y) z) -1))) (cos y) (pow (* (sin y) z) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (exp (* (log (sin y)) 1))) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) (* (cos y) x)) (/ (pow (* (sin y) z) 2) (sin y)) (/ (/ (pow (* (sin y) z) 2) (sin y)) z) (neg (pow (* (sin y) z) 2)) (* (sin y) z) (log (sin y)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) |
| 4.0ms | z | @ | inf | ((/ -1 (pow (* (sin y) z) -1)) (+ (* (cos y) x) (/ -1 (pow (* (sin y) z) -1))) (cos y) (pow (* (sin y) z) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (exp (* (log (sin y)) 1))) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) (* (cos y) x)) (/ (pow (* (sin y) z) 2) (sin y)) (/ (/ (pow (* (sin y) z) 2) (sin y)) z) (neg (pow (* (sin y) z) 2)) (* (sin y) z) (log (sin y)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) |
| 2.0ms | z | @ | -inf | ((/ -1 (pow (* (sin y) z) -1)) (+ (* (cos y) x) (/ -1 (pow (* (sin y) z) -1))) (cos y) (pow (* (sin y) z) -1) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (* (neg y) z) (neg y) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (exp (* (log (sin y)) 1)) (* (log (sin y)) 1) (- (* x (cos y)) (* z (sin y))) (* (neg z) (exp (* (log (sin y)) 1))) (+ (* (neg (pow (* (sin y) z) 2)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) (* (cos y) x)) (/ (pow (* (sin y) z) 2) (sin y)) (/ (/ (pow (* (sin y) z) 2) (sin y)) z) (neg (pow (* (sin y) z) 2)) (* (sin y) z) (log (sin y)) (/ 1 (/ (/ (pow (* (sin y) z) 2) (sin y)) z))) |
| 1× | egg-herbie |
| 5 742× | lower-fma.f64 |
| 5 742× | lower-fma.f32 |
| 5 476× | lower-*.f64 |
| 5 476× | lower-*.f32 |
| 1 854× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 4170 |
| 1 | 1385 | 4054 |
| 2 | 4949 | 4033 |
| 0 | 8186 | 3927 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(+ (* x (cos y)) (* z (- (* z (- (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (* -1 (sin y)) (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (/ (* z (+ (* -1/2 x) (* -1/6 x))) x) (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) z))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(log y) |
(+ (log y) (* -1/6 (pow y 2))) |
(+ (log y) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))) |
(+ (log y) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y z))))))) |
(* y (pow z 2)) |
(* y (+ (* -1/6 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* 1/120 (* (pow y 2) (pow z 2))))) (pow z 2))) |
(* y (+ (* (pow y 2) (+ (* -1/6 (pow z 2)) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) (pow z 2))) (* 1/120 (pow z 2)))))) (pow z 2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(* -1 (* (pow y 2) (pow z 2))) |
(* (pow y 2) (- (* 1/3 (* (pow y 2) (pow z 2))) (pow z 2))) |
(* (pow y 2) (- (* (pow y 2) (- (* -2/45 (* (pow y 2) (pow z 2))) (* -1/3 (pow z 2)))) (pow z 2))) |
(* (pow y 2) (- (* (pow y 2) (- (* (pow y 2) (- (* 1/315 (* (pow y 2) (pow z 2))) (* 2/45 (pow z 2)))) (* -1/3 (pow z 2)))) (pow z 2))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
(log y) |
(+ (log y) (* -1/6 (pow y 2))) |
(+ (log y) (* (pow y 2) (- (* -1/180 (pow y 2)) 1/6))) |
(+ (log y) (* (pow y 2) (- (* (pow y 2) (- (* -1/2835 (pow y 2)) 1/180)) 1/6))) |
(/ 1 (* y z)) |
(/ (+ (* 1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* 7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (+ (* (pow y 2) (+ (* (pow y 2) (+ (* 31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* (pow z 2) (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(log (sin y)) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(/ 1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
x |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(+ x (* -1 (* y z))) |
(-.f64 x (*.f64 y z)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* x (cos y)) (* z (- (* z (- (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (- (/ x z) y)) |
(*.f64 (-.f64 (/.f64 x z) y) z) |
(* z (- (/ x z) y)) |
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(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* (pow z 2) (sin y)) |
(*.f64 (*.f64 (sin.f64 y) z) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* -1 (* (pow z 2) (pow (sin y) 2))) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 (sin.f64 y) #s(literal 2 binary64))) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(log (sin y)) |
(log.f64 (sin.f64 y)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(/ 1 (* z (sin y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
(- x (* y z)) |
(-.f64 x (*.f64 y z)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(- (* x (cos y)) (* z (sin y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (- (+ (cos y) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(*.f64 (-.f64 (+.f64 (cos.f64 y) (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (*.f64 x x))) (fma.f64 (/.f64 (sin.f64 y) x) z (/.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z) (cos.f64 y)) (*.f64 x x)))) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x))))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x) |
| 7 212× | lower-fma.f32 |
| 7 208× | lower-fma.f64 |
| 3 318× | lower-*.f32 |
| 3 308× | lower-*.f64 |
| 3 252× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 219 |
| 0 | 75 | 199 |
| 1 | 300 | 157 |
| 2 | 2033 | 143 |
| 0 | 8949 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) |
(cos.f64 y) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
(*.f64 (cos.f64 y) x) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) |
(/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) |
(*.f64 (sin.f64 y) z) |
(log.f64 (sin.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) |
| Outputs |
|---|
(*.f64 (pow.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)) z) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 z (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z))) z) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) z) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z)) (*.f64 z (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
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(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (/.f64 (*.f64 z z) (*.f64 z (sin.f64 y)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(*.f64 (*.f64 z (sin.f64 y)) (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) (exp.f64 (log.f64 z))) |
(*.f64 (sin.f64 y) (/.f64 (*.f64 z z) z)) |
(*.f64 (sin.f64 y) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) z)) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (neg.f64 (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) z) (sin.f64 y)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))) (sin.f64 y)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z)))) |
(/.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z))) |
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) z) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (*.f64 z (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 z (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 z))) (/.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (neg.f64 (neg.f64 z))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) z) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (sin.f64 y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) (log.f64 (*.f64 z (sin.f64 y))))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1 binary64) (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 z (sin.f64 y)))) |
(*.f64 #s(literal 1 binary64) (log.f64 (sin.f64 y))) |
(*.f64 (log.f64 (sin.f64 y)) (log.f64 (E.f64))) |
(*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64)) |
(+.f64 (log.f64 (sqrt.f64 (sin.f64 y))) (log.f64 (sqrt.f64 (sin.f64 y)))) |
(log.f64 (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) z) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z z) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z (sin.f64 y)) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z z) (*.f64 z (sin.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -2 binary64)) (*.f64 z (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) (neg.f64 z)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z z) z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z)) z) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 z (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 z (sin.f64 y)))) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 (/.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z))) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (sin.f64 y)) |
(/.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 z) (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 z (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 z (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))) |
(/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) |
(/.f64 z (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)) (sin.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y))) (/.f64 z (/.f64 (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) (sin.f64 y)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 z) #s(literal -1 binary64)) (log.f64 (sin.f64 y)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 z (sin.f64 y))) (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 z (sin.f64 y))))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64) (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64) (*.f64 (log.f64 z) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) #s(literal -1 binary64))) |
Compiled 40 373 to 2 923 computations (92.8% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 561 | 20 | 1 581 |
| Fresh | 6 | 13 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 570 | 39 | 1 609 |
| Status | Accuracy | Program |
|---|---|---|
| 79.3% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 66.4% | (fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (neg.f64 z)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 56.4% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| ▶ | 99.8% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
| 99.6% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 73.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 23.9% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (* (sin y) z) (*.f64 z y)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 22.8% | (/.f64 #s(approx (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 32.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 43.4% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 27.3% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| 90.5% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| 88.2% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| ✓ | 57.8% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
| 31.9% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 31.4% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) x)) | |
| 32.0% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| ▶ | 33.8% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 31.9% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 31.5% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 32.0% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64) x))) | |
| ▶ | 22.7% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) |
| 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))) | |
| 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| ✓ | 44.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 15.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z)) (*.f64 z (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) | |
| 16.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (sin.f64 y))) | |
| 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (pow.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)))) | |
| 2.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| 17.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)))) | |
| ▶ | 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) |
| ✓ | 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 16.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (log.f64 (sin.f64 y))))) | |
| 41.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))) | |
| ▶ | 12.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
| ✓ | 14.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| 14.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
Compiled 1 045 to 808 computations (22.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) | |
| cost-diff | 20928 | (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) | |
| cost-diff | 7168 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 y y)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) y) | |
| cost-diff | 448 | (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) | |
| cost-diff | 0 | #s(approx (cos y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (*.f64 z (sin.f64 y)) | |
| cost-diff | 0 | (cos.f64 y) | |
| cost-diff | 0 | (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| cost-diff | 1664 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
| 5 976× | lower-fma.f32 |
| 5 974× | lower-fma.f64 |
| 4 148× | lower-*.f32 |
| 4 138× | lower-*.f64 |
| 1 878× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 299 |
| 0 | 73 | 255 |
| 1 | 145 | 237 |
| 2 | 334 | 235 |
| 3 | 1099 | 216 |
| 4 | 2449 | 216 |
| 5 | 4288 | 216 |
| 6 | 6337 | 216 |
| 0 | 8161 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
#s(literal -1 binary64) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(+.f64 #s(literal 0 binary64) y) |
#s(literal 0 binary64) |
y |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(*.f64 y y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 y) #s(literal -1 binary64)) |
(sin.f64 y) |
y |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
#s(literal -1 binary64) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) |
(*.f64 z (sin.f64 y)) |
z |
(sin.f64 y) |
y |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(cos.f64 y) |
y |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z) |
#s(literal -1 binary64) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z) |
(*.f64 (neg.f64 z) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(neg.f64 y) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 #s(literal 0 binary64) y) |
y |
#s(literal 0 binary64) |
y |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
(*.f64 y y) |
z |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(neg.f64 z) |
z |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(sin.f64 y) |
#s(literal 1 binary64) |
(pow.f64 (sin.f64 y) #s(literal -1 binary64)) |
(sin.f64 y) |
y |
#s(literal -1 binary64) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) |
#s(literal -1 binary64) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) |
(*.f64 z (sin.f64 y)) |
(*.f64 (sin.f64 y) z) |
z |
(sin.f64 y) |
y |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) | |
| accuracy | 3.507683875221307 | (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) | |
| accuracy | 16.732042959188504 | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) | |
| accuracy | 0.06640625 | (pow.f64 (sin.f64 y) #s(literal -1 binary64)) | |
| accuracy | 0.07421875 | (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) | |
| accuracy | 0.1328125 | (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) | |
| accuracy | 16.732042959188504 | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) | |
| accuracy | 0.11328125 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) | |
| accuracy | 13.254386093451146 | #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) | |
| accuracy | 14.800686687793956 | (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) | |
| accuracy | 16.674378518493246 | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) | |
| accuracy | 0.05078125 | (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) | |
| accuracy | 14.240943119151437 | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) | |
| accuracy | 15.60194482605871 | #s(approx (cos y) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| accuracy | 0.07421875 | (*.f64 z (sin.f64 y)) | |
| accuracy | 0.12890625 | (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) | |
| accuracy | 0.3139835465748426 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
| 97.0ms | 131× | 0 | invalid |
| 83.0ms | 125× | 0 | valid |
Compiled 231 to 43 computations (81.4% saved)
ival-cos: 56.0ms (34.9% of total)ival-mult: 50.0ms (31.2% of total)ival-div: 22.0ms (13.7% of total)ival-pow: 14.0ms (8.7% of total)ival-sin: 6.0ms (3.7% of total)ival-add: 4.0ms (2.5% of total)ival-sub: 4.0ms (2.5% of total)ival-pow2: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) #<representation binary64>) () ()) |
#s(alt (cos.f64 y) (patch (cos.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (cos y) #s(literal 1 binary64)) (patch #s(approx (cos y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (patch (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) (patch (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) (patch #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (patch (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) (patch (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (sin y)) (taylor 0 z) (#s(alt (*.f64 z (sin.f64 y)) (patch (*.f64 z (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (cos y)) (* z (- (* z (- (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) (taylor 0 z) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) (patch (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (sin y))) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (sin y))) (* x (cos y))) (taylor 0 z) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (sqrt (* z (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (sqrt (* z (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (sqrt (* z (sin y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) (patch #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (cos y)) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) (taylor -inf x) (#s(alt #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) (patch #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) (patch #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) (patch #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) (patch #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ (* y z) x) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) (patch #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 80.0ms | x | @ | 0 | ((/ 1 (/ -1 (* z (sin y)))) (+ (* (cos y) x) (/ 1 (/ -1 (* z (sin y))))) (cos y) (* z (sin y)) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (cos y) (/ 1 (/ (+ 0 y) (- 0 (* y y)))) (/ (+ 0 y) (- 0 (* y y))) (+ 0 y) (- 0 (* y y)) (/ 1 (pow (sin y) -1)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (/ 1 (pow (sin y) -1))) (neg z) (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (- (* x (cos y)) (* z (sin y))) (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2) (/ -1 (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (pow (sin y) -1)) |
| 6.0ms | y | @ | inf | ((/ 1 (/ -1 (* z (sin y)))) (+ (* (cos y) x) (/ 1 (/ -1 (* z (sin y))))) (cos y) (* z (sin y)) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (cos y) (/ 1 (/ (+ 0 y) (- 0 (* y y)))) (/ (+ 0 y) (- 0 (* y y))) (+ 0 y) (- 0 (* y y)) (/ 1 (pow (sin y) -1)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (/ 1 (pow (sin y) -1))) (neg z) (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (- (* x (cos y)) (* z (sin y))) (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2) (/ -1 (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (pow (sin y) -1)) |
| 5.0ms | y | @ | -inf | ((/ 1 (/ -1 (* z (sin y)))) (+ (* (cos y) x) (/ 1 (/ -1 (* z (sin y))))) (cos y) (* z (sin y)) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (cos y) (/ 1 (/ (+ 0 y) (- 0 (* y y)))) (/ (+ 0 y) (- 0 (* y y))) (+ 0 y) (- 0 (* y y)) (/ 1 (pow (sin y) -1)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (/ 1 (pow (sin y) -1))) (neg z) (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (- (* x (cos y)) (* z (sin y))) (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2) (/ -1 (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (pow (sin y) -1)) |
| 5.0ms | z | @ | -inf | ((/ 1 (/ -1 (* z (sin y)))) (+ (* (cos y) x) (/ 1 (/ -1 (* z (sin y))))) (cos y) (* z (sin y)) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (cos y) (/ 1 (/ (+ 0 y) (- 0 (* y y)))) (/ (+ 0 y) (- 0 (* y y))) (+ 0 y) (- 0 (* y y)) (/ 1 (pow (sin y) -1)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (/ 1 (pow (sin y) -1))) (neg z) (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (- (* x (cos y)) (* z (sin y))) (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2) (/ -1 (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (pow (sin y) -1)) |
| 3.0ms | z | @ | 0 | ((/ 1 (/ -1 (* z (sin y)))) (+ (* (cos y) x) (/ 1 (/ -1 (* z (sin y))))) (cos y) (* z (sin y)) (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (* (cos y) x) (cos y) (/ 1 (/ (+ 0 y) (- 0 (* y y)))) (/ (+ 0 y) (- 0 (* y y))) (+ 0 y) (- 0 (* y y)) (/ 1 (pow (sin y) -1)) (- (* x (cos y)) (* z (sin y))) (* (neg z) (/ 1 (pow (sin y) -1))) (neg z) (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (- (* x (cos y)) (* z (sin y))) (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2) (/ -1 (* z (sin y))) (- (* x (cos y)) (* z (sin y))) (- x (* z y)) (pow (sin y) -1)) |
| 1× | egg-herbie |
| 5 656× | lower-fma.f64 |
| 5 656× | lower-fma.f32 |
| 5 324× | lower-*.f64 |
| 5 324× | lower-*.f32 |
| 2 002× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 438 | 4005 |
| 1 | 1414 | 3871 |
| 2 | 4937 | 3854 |
| 0 | 8298 | 3757 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* x (cos y)) (* z (- (* -1 (* z (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(+ (* x (cos y)) (* z (- (* z (- (/ (* z (* (sin y) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (* x (cos y))) (+ (* -1 (/ (pow (sin y) 2) (* x (cos y)))) (/ (pow (sin y) 2) (* x (cos y)))))) (sin y)))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(* x (cos y)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* z (+ (* -1 (sin y)) (/ (* x (cos y)) z))) |
(* z (- (+ (* -1 (sin y)) (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (pow z 2)))) (* -1 (/ (* x (cos y)) z)))) |
(* z (- (+ (* -1 (sin y)) (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* (pow z 3) (sin y)))) (+ (* -1 (/ (* x (cos y)) z)) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* (pow z 2) (sin y))))))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* z (- (/ (* x (cos y)) z) (sin y))) |
(* -1 (* y z)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* z (- (/ x z) y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (+ (sin y) (* -1 (/ (* x (cos y)) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (/ (* (pow x 2) (pow (cos y) 2)) (* z (sin y)))) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (+ (sin y) (* -1 (/ (- (* -1 (/ (- (/ (* x (* (cos y) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y))))) (* z (sin y))) (+ (* -1 (/ (* (pow x 2) (pow (cos y) 2)) (sin y))) (/ (* (pow x 2) (pow (cos y) 2)) (sin y)))) z)) (* -1 (* x (cos y)))) z))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* z (sin y)) (pow (sqrt -1) 2)) |
(/ (* z (sin y)) (pow (sqrt -1) 2)) |
(/ (* z (sin y)) (pow (sqrt -1) 2)) |
(/ (* z (sin y)) (pow (sqrt -1) 2)) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(sqrt (* z (sin y))) |
(sqrt (* z (sin y))) |
(sqrt (* z (sin y))) |
(sqrt (* z (sin y))) |
(* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* z (sin y)))) (pow (sqrt -1) 2)) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* z (- (* -1 (/ (* x (cos y)) z)) (* -1 (sin y))))) |
(* -1 (* y z)) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* z (- (* -1 (/ x z)) (* -1 y)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (+ (* -1 z) (* -1/2 (* x y))))) |
(+ x (* y (+ (* -1 z) (* y (+ (* -1/2 x) (* 1/6 (* y 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))) |
(* y z) |
(* y (+ z (* -1/6 (* (pow y 2) z)))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* 1/120 (* (pow y 2) z)))))) |
(* y (+ z (* (pow y 2) (+ (* -1/6 z) (* (pow y 2) (+ (* -1/5040 (* (pow y 2) z)) (* 1/120 z))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* y (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) z))) |
(+ x (* y (- (* y (- (+ (* -3/2 x) (* y (- (* -1 (/ (pow z 3) (pow x 2))) (+ (* -1 (/ (* z (+ (* -1 (pow x 2)) (pow z 2))) (pow x 2))) (+ (/ (* z (+ (* -1/2 x) (* -1/6 x))) x) (/ (* z (- (* -3/2 x) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) x)))))) (+ (* -1 x) (+ (* -1 (/ (pow z 2) x)) (/ (pow z 2) x))))) z))) |
x |
(+ x (* -1/2 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* 1/24 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/2 x) (* (pow y 2) (+ (* -1/720 (* x (pow y 2))) (* 1/24 x)))))) |
1 |
(+ 1 (* -1/2 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/24 (pow y 2)) 1/2))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/24 (* -1/720 (pow y 2)))) 1/2))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
y |
y |
y |
y |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
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 |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (* 1/6 (* (pow y 2) z)))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* -1/120 (* (pow y 2) z)) (* 1/6 z))))) |
(* y (+ (* -1 z) (* (pow y 2) (+ (* 1/6 z) (* (pow y 2) (+ (* -1/120 z) (* 1/5040 (* (pow y 2) z)))))))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
(* -1 (sqrt (* y z))) |
(+ (* -1 (sqrt (* y z))) (* 1/12 (sqrt (* (pow y 5) z)))) |
(+ (* -1 (sqrt (* y z))) (* (pow y 3) (+ (* -1/240 (sqrt (* (pow y 3) z))) (* 1/12 (sqrt (/ z y)))))) |
(+ (* -1 (sqrt (* y z))) (* (pow y 3) (+ (* 1/12 (sqrt (/ z y))) (* (pow y 2) (+ (* -1/240 (sqrt (/ z y))) (* 1/288 (sqrt (/ z y)))))))) |
(sqrt (/ 1 (* y z))) |
(/ (+ (sqrt (/ y z)) (* 1/12 (sqrt (/ (pow y 5) z)))) y) |
(/ (+ (sqrt (/ y z)) (* (pow y 3) (+ (* 7/720 (sqrt (/ (pow y 3) z))) (* 1/12 (sqrt (/ 1 (* y z))))))) y) |
(/ (+ (sqrt (/ y z)) (* (pow y 3) (+ (* 1/12 (sqrt (/ 1 (* y z)))) (* (pow y 2) (+ (* -1/288 (sqrt (/ 1 (* y z)))) (* 7/720 (sqrt (/ 1 (* y z))))))))) y) |
(/ -1 (* y z)) |
(/ (- (* -1/6 (/ (pow y 2) z)) (/ 1 z)) y) |
(/ (- (* (pow y 2) (- (* -7/360 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
(/ (- (* (pow y 2) (- (* (pow y 2) (- (* -31/15120 (/ (pow y 2) z)) (* 7/360 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) y) |
x |
(+ x (* -1 (* y z))) |
(+ x (* y (- (* -1/2 (* x y)) z))) |
(+ x (* y (- (* y (+ (* -1/2 x) (* 1/6 (* y z)))) z))) |
x |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(+ x (* -1 (* y z))) |
(/ 1 y) |
(/ (+ 1 (* 1/6 (pow y 2))) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y) |
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
y |
y |
y |
y |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(* y (- (/ x y) z)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(* z (sin y)) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(/ (- (* (pow x 3) (pow (cos y) 3)) (* (pow z 3) (pow (sin y) 3))) (+ (* z (* (sin y) (+ (* x (cos y)) (* z (sin y))))) (* (pow x 2) (pow (cos y) 2)))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(cos y) |
(cos y) |
(cos y) |
(cos y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
y |
y |
y |
y |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(* -1 (sqrt (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(sqrt (/ 1 (* z (sin y)))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(/ -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 z)))) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(/ 1 (sin y)) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(* -1 (* z (sin y))) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(+ (* -1 (* z (sin y))) (* x (- (* -1 (* x (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(+ (* -1 (* z (sin y))) (* x (- (* x (- (/ (* x (* (cos y) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* z (sin y))) (+ (* -1 (/ (pow (cos y) 2) (* z (sin y)))) (/ (pow (cos y) 2) (* z (sin y)))))) (* -1 (cos y))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(- (* x (cos y)) (* z (sin y))) |
(* -1 (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(- x (* y z)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (- (+ (cos y) (* -1 (/ (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (pow x 2)))) (/ (* z (sin y)) x))) |
(* x (- (+ (cos y) (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* (pow x 3) (cos y)))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y)))) (+ (/ (* z (sin y)) x) (/ (* (pow z 2) (pow (sin y) 2)) (* (pow x 2) (cos y))))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
(* x (+ (cos y) (* -1 (/ (* z (sin y)) x)))) |
x |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (+ 1 (* -1 (/ (* y z) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (/ (* (pow z 2) (pow (sin y) 2)) (* x (cos y)))) (* z (sin y))) x))))) |
(* -1 (* x (+ (* -1 (cos y)) (* -1 (/ (- (* -1 (/ (- (/ (* z (* (sin y) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y))))) (* x (cos y))) (+ (* -1 (/ (* (pow z 2) (pow (sin y) 2)) (cos y))) (/ (* (pow z 2) (pow (sin y) 2)) (cos y)))) x)) (* z (sin y))) x))))) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* x (cos y)) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
(* -1 (* x (+ (* -1 (cos y)) (/ (* z (sin y)) x)))) |
x |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(* -1 (* x (- (/ (* y z) x) 1))) |
| Outputs |
|---|
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* -1 (* z (sin y))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(+ (* -1 (* z (sin y))) (* x (cos y))) |
(fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* z (sin y)) |
(*.f64 (sin.f64 y) z) |
(* x (cos y)) |
(*.f64 (cos.f64 y) x) |
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(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
(* -1 (* x (- (/ (* y z) x) 1))) |
(fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x) |
| 6 690× | lower-fma.f32 |
| 6 688× | lower-fma.f64 |
| 3 634× | lower-*.f32 |
| 3 624× | lower-*.f64 |
| 2 920× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 254 |
| 0 | 73 | 211 |
| 1 | 339 | 153 |
| 2 | 2384 | 152 |
| 0 | 8481 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(cos.f64 y) |
(*.f64 z (sin.f64 y)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) |
#s(approx (cos y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y))) |
(+.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(neg.f64 z) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z)) |
(pow.f64 (sin.f64 y) #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -3/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (sin.f64 y) z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) z) |
(*.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) z) |
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3/4 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (sqrt.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (sin.f64 y)) z) |
(*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(*.f64 (neg.f64 z) (sin.f64 y)) |
(*.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
(*.f64 (sin.f64 y) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (sin.f64 y) (neg.f64 z)) |
(*.f64 z (/.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 z (neg.f64 (sin.f64 y))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))))) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64)))) |
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 z))) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z)) (*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 z #s(literal -1/2 binary64)))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) #s(literal 1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (sin.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal 1 binary64)) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (*.f64 (sin.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z)) |
(exp.f64 (log.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 9 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 (cos.f64 y) x) z) (sin.f64 y)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y))) (pow.f64 (*.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (sin.f64 y) z) (*.f64 (cos.f64 y) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (cos.f64 y) x) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) (pow.f64 (fma.f64 (*.f64 (fma.f64 (cos.f64 y) x (*.f64 (sin.f64 y) z)) z) (sin.f64 y) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) |
(neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) (sin.f64 y)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (sin.f64 y) z) z) #s(literal -1/4 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/4 binary64)) (pow.f64 (*.f64 z (*.f64 (sin.f64 y) z)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/4 binary64)) (pow.f64 (*.f64 (sin.f64 y) (*.f64 (sin.f64 y) z)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (*.f64 (sin.f64 y) z))) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) |
(exp.f64 (fma.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1/4 binary64) (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal -1/2 binary64) (*.f64 (log.f64 z) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal -1/2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 y) z)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 z (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -3/4 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64)) (/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/4 binary64))) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z))) |
(pow.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (neg.f64 z) (sin.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z))) (neg.f64 (neg.f64 (sin.f64 y)))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z)) (neg.f64 (sin.f64 y))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) z) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 (sin.f64 y) z))) |
(/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (sin.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (sin.f64 y))) |
(neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z))) (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (sin.f64 y) z)))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 z) y))) |
#s(approx (- x (* z y)) (*.f64 (neg.f64 z) y)) |
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sin.f64 y))) |
(pow.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sin.f64 y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) |
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sin.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sin.f64 y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (sin.f64 y)) #s(literal -1/2 binary64) (*.f64 (log.f64 (sin.f64 y)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (sin.f64 y)))) |
Compiled 26 356 to 3 712 computations (85.9% saved)
42 alts after pruning (34 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 445 | 12 | 1 457 |
| Fresh | 6 | 22 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 454 | 42 | 1 496 |
| Status | Accuracy | Program |
|---|---|---|
| 79.3% | (fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 66.4% | (fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (neg.f64 z)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) | |
| 56.4% | (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) | |
| 99.6% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))) | |
| 99.7% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z))))) | |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
| ✓ | 99.8% | (fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
| 73.2% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) | |
| 73.3% | (fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) | |
| 23.9% | (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (* (sin y) z) (*.f64 z y)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 22.8% | (/.f64 #s(approx (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) | |
| 32.7% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 43.4% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) | |
| 27.3% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) | |
| 90.5% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) | |
| 88.2% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) | |
| ✓ | 57.8% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
| 31.9% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| 31.4% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) x)) | |
| 32.0% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) | |
| ✓ | 33.8% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 31.9% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 31.5% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) | |
| 32.0% | #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64) x))) | |
| 22.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) | |
| 42.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) | |
| 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) | |
| ✓ | 44.1% | #s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
| 15.9% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z)) (*.f64 z (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) | |
| 16.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (sin.f64 y))) | |
| 22.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))))) | |
| 2.8% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) | |
| 17.3% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)))) | |
| 14.4% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) | |
| 14.6% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))))) | |
| ✓ | 42.5% | #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| 14.5% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) | |
| 41.9% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))) | |
| 14.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) z))) | |
| 12.3% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) z))) | |
| ✓ | 14.8% | #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
Compiled 1 781 to 771 computations (56.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(fma.f64 (cos.f64 y) x (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (pow.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) #s(literal 2 binary64))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (pow.f64 (sqrt.f64 (sin.f64 y)) #s(literal 2 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (cos.f64 y) z) x (neg.f64 (sin.f64 y))) z)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (fma.f64 (/.f64 (sin.f64 y) x) (neg.f64 z) (cos.f64 y)) x)) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) z) (sin.f64 y)))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) z))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (log.f64 (sin.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) (pow.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal -1 binary64))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal -1 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (cos.f64 y) x)) #s(literal -1 binary64))) |
(fma.f64 (cos.f64 y) x (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) z))) |
(fma.f64 (sqrt.f64 (*.f64 x (cos.f64 y))) (sqrt.f64 (*.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (sin.f64 y) z)))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) |
(-.f64 (exp.f64 (log.f64 (*.f64 (cos.f64 y) x))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 z (sin.f64 y)) #s(literal -1/2 binary64)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (*.f64 z z)) (*.f64 z (neg.f64 (pow.f64 (*.f64 z (sin.f64 y)) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (neg.f64 #s(approx (pow (* (sin y) z) 2) (*.f64 (*.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) z) z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (sin.f64 y) z) (neg.f64 z)) (sin.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) z))) (*.f64 (cos.f64 y) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) (pow.f64 (fma.f64 (sin.f64 y) z (*.f64 x (cos.f64 y))) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 z) (sin.f64 y)) (*.f64 (cos.f64 y) x)))) |
(fma.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (sin.f64 y)) z)) (*.f64 (cos.f64 y) x)) |
(/.f64 #s(approx (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (*.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) #s(approx (* (sin y) z) (*.f64 z y)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(fma.f64 (*.f64 (pow.f64 (cos.f64 y) #s(literal 2 binary64)) x) (/.f64 x (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x))) (*.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (cos.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 3 binary64)) (fma.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (*.f64 (sin.f64 y) z) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (cos.f64 y) x) #s(literal 2 binary64))) (/.f64 (fma.f64 (sin.f64 y) z (*.f64 (cos.f64 y) x)) (pow.f64 (*.f64 (sin.f64 y) z) #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
4 calls:
| 46.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 43.0ms | z |
| 22.0ms | y |
| 21.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) z)))) |
(fma.f64 #s(approx (cos y) #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (sin.f64 y))))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
(-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 12.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 10.0ms | y |
| 9.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 3 | x |
| 73.3% | 1 | y |
| 85.8% | 3 | z |
| 73.3% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) |
2 calls:
| 8.0ms | x |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 3 | z |
| 74.8% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (sin.f64 y) z)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 (cos.f64 y) x)) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) |
4 calls:
| 12.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 9.0ms | z |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 3 | x |
| 57.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 69.4% | 3 | y |
| 64.6% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/2 binary64) x))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 #s(literal -1/2 binary64) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (*.f64 y x) #s(literal -1/2 binary64)) z) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (fma.f64 (fma.f64 (*.f64 y x) #s(literal -1/2 binary64) (neg.f64 z)) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (* (neg z) (sin y)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (/ (/ -1 (pow (* z (sin y)) -1/2)) (pow (* z (sin y)) -1/2)) (*.f64 (*.f64 z (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64))) y))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x)) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (fma.f64 (/.f64 (*.f64 y z) x) (neg.f64 x) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) z))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.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))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y (neg.f64 z)) y x)) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal 1/24 binary64) (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) z))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 y y) #s(literal 1/24 binary64)) (*.f64 y y) #s(literal -1/2 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) y))))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) #s(approx (* (cos y) x) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1/720 binary64) (*.f64 #s(literal 1/24 binary64) x)) y) y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 y y) x))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) #s(approx (pow (sin y) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) y))))) |
| Outputs |
|---|
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
4 calls:
| 9.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 8.0ms | y |
| 7.0ms | x |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 44.1% | 1 | z |
| 44.1% | 1 | x |
| 44.1% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
#s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z))) |
4 calls:
| 4.0ms | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 2.0ms | x |
| 2.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.8% | 1 | (-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
| 33.8% | 1 | x |
| 37.3% | 2 | z |
| 33.8% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
2 calls:
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.8% | 1 | y |
| 33.8% | 1 | z |
Compiled 2 to 6 computations (-200% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 0.00874941106363912 | 336953503.1894894 |
| 27.0ms | -1.5194906006195157e+73 | -4.955380345371444e+70 |
| 49.0ms | 288× | 0 | valid |
Compiled 264 to 320 computations (-21.2% saved)
ival-cos: 19.0ms (61.1% of total)ival-sin: 6.0ms (19.3% of total)ival-mult: 4.0ms (12.9% of total)ival-sub: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 2.2213562861195257e+194 | 4.274913781036192e+203 |
| 10.0ms | -9.107305602816005e+49 | -3.4631295910243774e+49 |
| 22.0ms | 224× | 0 | valid |
Compiled 166 to 224 computations (-34.9% saved)
ival-sin: 7.0ms (41.7% of total)ival-cos: 5.0ms (29.8% of total)ival-mult: 3.0ms (17.9% of total)ival-sub: 1.0ms (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 |
|---|---|---|
| 19.0ms | 5.233940241039278e-10 | 0.22790174902386443 |
| 16.0ms | -184114.95902610445 | -1.1788022504264302e-6 |
| 19.0ms | 304× | 0 | valid |
Compiled 411 to 394 computations (4.1% saved)
ival-mult: 4.0ms (35.8% of total)ival-cos: 3.0ms (26.8% of total)ival-sin: 3.0ms (26.8% of total)ival-sub: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.2213562861195257e+194 | 4.274913781036192e+203 |
| 10.0ms | 112× | 0 | valid |
Compiled 111 to 158 computations (-42.3% saved)
ival-cos: 3.0ms (43.5% of total)ival-sin: 2.0ms (29% of total)ival-sub: 1.0ms (14.5% of total)ival-mult: 1.0ms (14.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative-binary64-*.f64 |
| 18× | +-commutative-binary64-+.f64 |
| 18× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | cancel-sign-sub-inv-binary64-neg.f64-+.f64-*.f64--.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 292 |
| 1 | 102 | 292 |
| 2 | 120 | 292 |
| 3 | 128 | 292 |
| 4 | 132 | 292 |
| 5 | 133 | 292 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(if (<=.f64 x #s(literal -320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 750000 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 z #s(literal -34999999999999997478122585847332822622741410611200 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 230000000000000005101674819171317811370556653891230016199238468937786063379149796872348366389289651695051640550865369914038988356759564746811529285738223716661288089706320792821279791272712732672 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -8106479329266893/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1080863910568919/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal 799999999999999960914633971138810564271132836894897335957326711245880937899996734662271031133787218247670035901371060536555860260044199447410858874102116319501629323069874000062178923058326897950720 binary64)) #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| Outputs |
|---|
(-.f64 (*.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))) |
(-.f64 (*.f64 (cos.f64 y) x) (*.f64 (sin.f64 y) z)) |
(if (<=.f64 x #s(literal -320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 750000 binary64)) (-.f64 (*.f64 x #s(approx (cos y) #s(literal 1 binary64))) (*.f64 z (sin.f64 y))) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 x #s(literal -320000000000000023210059642089355240370679811086887025765827249753292800 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 x #s(literal 750000 binary64)) (-.f64 (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x) (*.f64 (sin.f64 y) z)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
(if (<=.f64 z #s(literal -34999999999999997478122585847332822622741410611200 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))) (if (<=.f64 z #s(literal 230000000000000005101674819171317811370556653891230016199238468937786063379149796872348366389289651695051640550865369914038988356759564746811529285738223716661288089706320792821279791272712732672 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (neg.f64 z) (sin.f64 y))))) |
(if (<=.f64 y #s(literal -8106479329266893/36028797018963968 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)) (if (<=.f64 y #s(literal 1080863910568919/9007199254740992 binary64)) #s(approx (- (* x (cos y)) (* z (sin y))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal -1/2 binary64) x)) y) z) y x)) #s(approx (- (* x (cos y)) (* z (sin y))) (*.f64 (cos.f64 y) x)))) |
#s(approx (- (* x (cos y)) (* z (sin y))) (-.f64 x (*.f64 z y))) |
(if (<=.f64 z #s(literal 799999999999999960914633971138810564271132836894897335957326711245880937899996734662271031133787218247670035901371060536555860260044199447410858874102116319501629323069874000062178923058326897950720 binary64)) #s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) #s(approx (- (* x (cos y)) (* z (sin y))) #s(approx (- x (* z y)) (*.f64 (neg.f64 y) z)))) |
#s(approx (/ (- (pow (* (cos y) x) 3) (pow (* (sin y) z) 3)) (+ (* (+ (* (sin y) z) (* (cos y) x)) (* (sin y) z)) (pow (* (cos y) x) 2))) (*.f64 #s(approx (cos y) #s(literal 1 binary64)) x)) |
| 12 044× | lower-fma.f64 |
| 12 044× | lower-fma.f32 |
| 10 986× | lower-fma.f64 |
| 10 986× | lower-fma.f32 |
| 6 802× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 464 | 4796 |
| 1 | 1588 | 4664 |
| 2 | 5957 | 4647 |
| 0 | 8805 | 4548 |
| 0 | 8 | 19 |
| 0 | 13 | 19 |
| 1 | 33 | 19 |
| 2 | 210 | 19 |
| 3 | 1964 | 19 |
| 0 | 8379 | 19 |
| 0 | 97 | 624 |
| 1 | 292 | 619 |
| 2 | 840 | 613 |
| 3 | 2068 | 607 |
| 4 | 3600 | 607 |
| 5 | 6269 | 607 |
| 0 | 8467 | 586 |
| 0 | 413 | 4170 |
| 1 | 1385 | 4054 |
| 2 | 4949 | 4033 |
| 0 | 8186 | 3927 |
| 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 205 to 144 computations (29.8% saved)
Compiled 260 to 122 computations (53.1% saved)
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