
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 709.0ms | 8 256× | 0 | valid |
ival-sin: 285.0ms (56.1% of total)ival-div: 132.0ms (26% of total)ival-mult: 80.0ms (15.8% of total)ival-true: 7.0ms (1.4% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 14 | 0 | - | 2 | (-7.455891815382304e-143 2.3688918618512594e+179 1.8014706241258563e-131) | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | u/n | 12 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 36 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 2 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 2 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 244 |
| 1 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 45.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-sin: 12.0ms (51% of total)ival-div: 7.0ms (29.8% of total)ival-mult: 3.0ms (12.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 81 |
| 1 | 87 | 75 |
| 2 | 252 | 75 |
| 3 | 911 | 75 |
| 4 | 2899 | 75 |
| 5 | 4942 | 75 |
| 6 | 5886 | 75 |
| 7 | 5983 | 75 |
| 8 | 6028 | 75 |
| 9 | 6069 | 75 |
| 10 | 6119 | 75 |
| 11 | 6659 | 75 |
| 12 | 6917 | 75 |
| 13 | 6929 | 75 |
| 14 | 6929 | 75 |
| 15 | 6929 | 75 |
| 16 | 7087 | 75 |
| 17 | 7207 | 75 |
| 18 | 7339 | 75 |
| 19 | 7395 | 75 |
| 20 | 7395 | 75 |
| 21 | 7395 | 75 |
| 0 | 7 | 8 |
| 0 | 11 | 8 |
| 1 | 16 | 8 |
| 2 | 24 | 8 |
| 3 | 37 | 8 |
| 4 | 48 | 8 |
| 5 | 48 | 8 |
| 0 | 48 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(abs y)
(negabs z)
(negabs x)
Compiled 8 to 7 computations (12.5% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| cost-diff | 0 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 16 | 23 |
| 2 | 24 | 23 |
| 3 | 37 | 23 |
| 4 | 48 | 23 |
| 5 | 48 | 23 |
| 0 | 48 | 23 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
x |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.10546875 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 3.1369018205629424 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 19.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 7.0ms (58.1% of total)ival-div: 3.0ms (24.9% of total)ival-mult: 2.0ms (16.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/6 (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/6 (pow y 2))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) (taylor 0 y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1/6 (pow y 2)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) (taylor 0 y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) y) (taylor -inf y) (#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (sin y) (taylor -inf y) (#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) (patch (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (sin.f64 y) y)) (patch (*.f64 x (/.f64 (sin.f64 y) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | y | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 3.0ms | x | @ | inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | z | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | x | @ | -inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 523 | 614 |
| 3 | 1580 | 606 |
| 4 | 2550 | 606 |
| 5 | 4169 | 606 |
| 6 | 4849 | 606 |
| 7 | 5080 | 606 |
| 8 | 5581 | 606 |
| 0 | 8769 | 582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) z) x) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
(fma.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(/ (sin y) y) |
(/.f64 (sin.f64 y) y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
| Outputs |
|---|
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Compiled 5 308 to 1 053 computations (80.2% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 421 | 8 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 421 | 9 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.4% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 52.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| ▶ | 50.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| 52.8% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 89.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ▶ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 86.4% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| ▶ | 56.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 180 to 149 computations (17.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (*.f64 (/.f64 z x) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| cost-diff | -384 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 158 |
| 0 | 45 | 158 |
| 1 | 80 | 158 |
| 2 | 113 | 158 |
| 3 | 164 | 158 |
| 4 | 202 | 158 |
| 5 | 205 | 158 |
| 0 | 205 | 158 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 4.427621829489869 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| accuracy | 4.800807682669251 | (*.f64 (/.f64 z x) y) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.1171875 | (*.f64 (sin.f64 y) x) | |
| accuracy | 8.617841518328735 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 0.10546875 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 3.1369018205629424 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| accuracy | 32.42028149393488 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 27.77326652012957 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.4633987110649413 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 74.0ms | 256× | 0 | valid |
Compiled 123 to 25 computations (79.7% saved)
ival-mult: 24.0ms (40.9% of total)ival-div: 19.0ms (32.4% of total)ival-sin: 7.0ms (11.9% of total)const: 6.0ms (10.2% of total)ival-add: 2.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (taylor -inf x) (#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6)) |
| 5.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6)) |
| 5.0ms | x | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | y | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6)) |
| 3.0ms | z | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* 1/120 (* y y)) -1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 2746 |
| 1 | 236 | 2746 |
| 2 | 670 | 2682 |
| 3 | 2034 | 2646 |
| 4 | 3462 | 2646 |
| 5 | 6097 | 2646 |
| 6 | 7626 | 2646 |
| 0 | 8087 | 2562 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
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(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 131 |
| 0 | 45 | 131 |
| 1 | 150 | 131 |
| 2 | 792 | 131 |
| 3 | 6648 | 131 |
| 0 | 8324 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (sin.f64 y) x) |
(*.f64 z y) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
| Outputs |
|---|
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Compiled 19 297 to 2 128 computations (89% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 369 | 7 | 1 376 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 369 | 16 | 1 385 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.4% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 52.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| ✓ | 50.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| ▶ | 52.8% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| ✓ | 89.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 48.5% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ▶ | 50.6% | (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
| ▶ | 90.4% | (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
| ✓ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 86.4% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| 53.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) | |
| 56.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 56.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ▶ | 56.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| ▶ | 56.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
Compiled 268 to 233 computations (13.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 384 | (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 256 | (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 217 |
| 0 | 54 | 219 |
| 1 | 99 | 215 |
| 2 | 194 | 205 |
| 3 | 514 | 205 |
| 4 | 1823 | 205 |
| 5 | 3181 | 205 |
| 6 | 4277 | 205 |
| 7 | 4869 | 205 |
| 8 | 5210 | 205 |
| 9 | 5389 | 205 |
| 10 | 5541 | 205 |
| 11 | 6172 | 205 |
| 12 | 6531 | 205 |
| 13 | 6641 | 205 |
| 14 | 6667 | 205 |
| 15 | 6675 | 205 |
| 16 | 6697 | 205 |
| 17 | 6933 | 205 |
| 18 | 7294 | 205 |
| 19 | 7492 | 205 |
| 20 | 7516 | 205 |
| 21 | 7528 | 205 |
| 22 | 7776 | 205 |
| 23 | 7879 | 205 |
| 24 | 7904 | 205 |
| 25 | 7908 | 205 |
| 26 | 7920 | 205 |
| 27 | 7940 | 205 |
| 28 | 7956 | 205 |
| 29 | 7966 | 205 |
| 30 | 7996 | 205 |
| 31 | 7996 | 205 |
| 32 | 7996 | 205 |
| 0 | 8004 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
(neg.f64 x) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 x) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
x |
(/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
z |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
(/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) |
(sin.f64 y) |
y |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
(neg.f64 x) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
(/.f64 x z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 x) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
x |
(/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
z |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) | |
| accuracy | 0.1015625 | (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 1.743368133513615 | (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) | |
| accuracy | 32.42028149393488 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.10546875 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 3.1369018205629424 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| accuracy | 32.32262288297035 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0.6019429862013859 | (/.f64 #s(literal 1 binary64) (/.f64 z x)) | |
| accuracy | 27.77326652012957 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.16796875 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) | |
| accuracy | 27.77326652012957 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.6927336787845417 | (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) | |
| accuracy | 6.101534393136328 | (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
| 86.0ms | 256× | 0 | valid |
Compiled 153 to 31 computations (79.7% saved)
ival-mult: 23.0ms (33.8% of total)const: 18.0ms (26.5% of total)ival-div: 12.0ms (17.7% of total)ival-sin: 8.0ms (11.8% of total)ival-add: 3.0ms (4.4% of total)ival-neg: 2.0ms (2.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) y) (patch (*.f64 (neg.f64 z) 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 z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) (patch (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin y) (* y z))) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin y) (* y z))) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (sin y) (* y z))) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (patch (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | -inf | ((* (/ (sin y) (* (neg z) y)) (neg x)) (sin y) (* (neg z) y) (neg z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ x (/ z (/ (sin y) y))) (/ z (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (/ (sin y) (* (neg z) y)) (+ (* (* y y) 1/120) -1/6)) |
| 3.0ms | y | @ | -inf | ((* (/ (sin y) (* (neg z) y)) (neg x)) (sin y) (* (neg z) y) (neg z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ x (/ z (/ (sin y) y))) (/ z (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (/ (sin y) (* (neg z) y)) (+ (* (* y y) 1/120) -1/6)) |
| 3.0ms | z | @ | 0 | ((* (/ (sin y) (* (neg z) y)) (neg x)) (sin y) (* (neg z) y) (neg z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ x (/ z (/ (sin y) y))) (/ z (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (/ (sin y) (* (neg z) y)) (+ (* (* y y) 1/120) -1/6)) |
| 3.0ms | y | @ | inf | ((* (/ (sin y) (* (neg z) y)) (neg x)) (sin y) (* (neg z) y) (neg z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ x (/ z (/ (sin y) y))) (/ z (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (/ (sin y) (* (neg z) y)) (+ (* (* y y) 1/120) -1/6)) |
| 2.0ms | z | @ | inf | ((* (/ (sin y) (* (neg z) y)) (neg x)) (sin y) (* (neg z) y) (neg z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (/ x (/ z (/ (sin y) y))) (/ z (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (* y y) 1/120) -1/6) (* y y)) 1) (/ (sin y) (* (neg z) y)) (+ (* (* y y) 1/120) -1/6)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 3080 |
| 1 | 378 | 3073 |
| 2 | 1169 | 3005 |
| 3 | 3938 | 2952 |
| 4 | 7791 | 2952 |
| 0 | 8192 | 2859 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x 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)))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
z |
(+ z (* 1/6 (* (pow y 2) z))) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
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(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 189 |
| 0 | 54 | 191 |
| 1 | 189 | 177 |
| 2 | 1078 | 177 |
| 0 | 8492 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
(sin.f64 y) |
(*.f64 (neg.f64 z) y) |
(neg.f64 z) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 z x) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
| Outputs |
|---|
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Compiled 20 009 to 2 836 computations (85.8% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 325 | 8 | 1 333 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 328 | 21 | 1 349 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.4% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 52.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| ✓ | 50.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| 14.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) | |
| ✓ | 89.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ▶ | 48.5% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
| ✓ | 50.6% | (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
| 52.8% | (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) | |
| 65.8% | (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| 65.1% | (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) | |
| ✓ | 90.4% | (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
| ✓ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 86.4% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| ▶ | 53.7% | (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| ▶ | 52.7% | (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
| 52.7% | (*.f64 #s(approx (/ (sin y) (* (neg z) y)) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x)) | |
| ✓ | 56.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ✓ | 56.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| ▶ | 56.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
| ✓ | 56.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
Compiled 363 to 311 computations (14.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 192 | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 256 | (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) | |
| cost-diff | 0 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| cost-diff | 0 | (neg.f64 (sin.f64 y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (neg.f64 y) z)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 206 |
| 0 | 58 | 198 |
| 1 | 110 | 194 |
| 2 | 238 | 189 |
| 3 | 668 | 187 |
| 4 | 1993 | 187 |
| 5 | 3280 | 187 |
| 6 | 4139 | 187 |
| 7 | 4315 | 187 |
| 8 | 4382 | 187 |
| 9 | 4426 | 187 |
| 10 | 4516 | 187 |
| 11 | 4882 | 187 |
| 12 | 5196 | 187 |
| 13 | 5782 | 187 |
| 14 | 5782 | 187 |
| 15 | 5782 | 187 |
| 16 | 5802 | 187 |
| 17 | 5806 | 187 |
| 0 | 5806 | 187 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
x |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 z y) |
z |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x z) |
x |
z |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 z) |
z |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 x) |
x |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(/.f64 x (*.f64 z (neg.f64 y))) |
x |
(*.f64 (neg.f64 y) z) |
(*.f64 z (neg.f64 y)) |
(neg.f64 y) |
y |
z |
(neg.f64 (sin.f64 y)) |
(sin.f64 y) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 z y) |
z |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) |
(/.f64 x z) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
(/.f64 z x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(neg.f64 z) |
z |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (neg.f64 z)) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
y |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 0.14453125 | (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 1.6927336787845417 | (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) | |
| accuracy | 32.32262288297035 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.248378759768442 | (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) | |
| accuracy | 0.6019429862013859 | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) | |
| accuracy | 27.77326652012957 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.09375 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 2.4633987110649413 | (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 32.32262288297035 | #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 8.617841518328735 | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| accuracy | 32.17425510580066 | #s(approx (* (sin y) x) (*.f64 y x)) | |
| accuracy | 0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.1599794891983235 | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| accuracy | 4.627804928652741 | (/.f64 x (*.f64 (neg.f64 y) z)) |
| 92.0ms | 256× | 0 | valid |
Compiled 158 to 34 computations (78.5% saved)
ival-div: 21.0ms (37.6% of total)ival-mult: 18.0ms (32.2% of total)ival-sin: 6.0ms (10.7% of total)const: 4.0ms (7.2% of total)ival-neg: 4.0ms (7.2% of total)ival-add: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.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 (neg.f64 (sin.f64 y)) (patch (neg.f64 (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sin y) x) (*.f64 y x)) (patch #s(approx (* (sin y) x) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) (patch (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (patch (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ x (* y z))) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* y z))) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* y z))) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* y z))) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 y) z) (patch (*.f64 (neg.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) (patch (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) (patch (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) (patch (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) (patch (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) (patch (*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) (patch (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | z | @ | inf | ((/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (* z y) (* (/ x z) (/ (sin y) y)) (/ x z) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ 1 (* (/ -1 x) (neg z))) (* (/ -1 x) (neg z)) (/ (* x (/ (sin y) y)) z) (/ -1 x) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (* (/ x (* (neg y) z)) (neg (sin y))) (* y y) (neg z)) |
| 3.0ms | y | @ | -inf | ((/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (* z y) (* (/ x z) (/ (sin y) y)) (/ x z) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ 1 (* (/ -1 x) (neg z))) (* (/ -1 x) (neg z)) (/ (* x (/ (sin y) y)) z) (/ -1 x) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (* (/ x (* (neg y) z)) (neg (sin y))) (* y y) (neg z)) |
| 3.0ms | z | @ | -inf | ((/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (* z y) (* (/ x z) (/ (sin y) y)) (/ x z) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ 1 (* (/ -1 x) (neg z))) (* (/ -1 x) (neg z)) (/ (* x (/ (sin y) y)) z) (/ -1 x) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (* (/ x (* (neg y) z)) (neg (sin y))) (* y y) (neg z)) |
| 3.0ms | y | @ | inf | ((/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (* z y) (* (/ x z) (/ (sin y) y)) (/ x z) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ 1 (* (/ -1 x) (neg z))) (* (/ -1 x) (neg z)) (/ (* x (/ (sin y) y)) z) (/ -1 x) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (* (/ x (* (neg y) z)) (neg (sin y))) (* y y) (neg z)) |
| 2.0ms | z | @ | 0 | ((/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (* (sin y) x) (* z y)) (* (sin y) x) (* y x) (* z y) (* (/ x z) (/ (sin y) y)) (/ x z) (/ (sin y) y) (+ (* -1/6 (* y y)) 1) (/ 1 (* (/ -1 x) (neg z))) (* (/ -1 x) (neg z)) (/ (* x (/ (sin y) y)) z) (/ -1 x) (* (* (/ (sin y) y) (/ -1 z)) (neg x)) (* (/ (sin y) y) (/ -1 z)) (* (/ x (* (neg y) z)) (neg (sin y))) (* y y) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 2989 |
| 1 | 312 | 2989 |
| 2 | 894 | 2927 |
| 3 | 2226 | 2891 |
| 4 | 3728 | 2889 |
| 5 | 6620 | 2889 |
| 0 | 8019 | 2829 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(* x y) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ -1 z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(- (* (pow y 2) (+ (* -1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(- (* (pow y 2) (+ (* (pow y 2) (- (* 1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 (* y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(* -1 (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(* -1 (/ (sin y) (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(* -1 (/ x (* y z))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
| Outputs |
|---|
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(* -1 (/ (sin y) (* y z))) |
(/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (/ x (* y z))) |
(/.f64 (/.f64 (neg.f64 x) z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 y) z) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/6 (pow y 2)) 1)) |
(neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (neg.f64 y)) |
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)) (*.f64 y y) #s(literal 1/6 binary64)) (neg.f64 y)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 y #s(literal 3 binary64)) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* -1/6 (pow y 2))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* 1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)) z) |
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(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 158 |
| 0 | 58 | 150 |
| 1 | 170 | 139 |
| 2 | 834 | 139 |
| 3 | 7098 | 139 |
| 0 | 8076 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(neg.f64 (sin.f64 y)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (* (sin y) x) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 z y) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x z) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
(/.f64 #s(literal -1 binary64) x) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 y y) |
(neg.f64 z) |
| Outputs |
|---|
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Compiled 21 719 to 2 651 computations (87.8% saved)
28 alts after pruning (15 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 542 | 9 | 1 551 |
| Fresh | 0 | 6 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 10 | 10 |
| Total | 1 544 | 28 | 1 572 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.4% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 35.8% | (/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (*.f64 x z)) | |
| ✓ | 95.0% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 52.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| ✓ | 50.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| 14.4% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) | |
| ✓ | 89.6% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ✓ | 48.5% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
| ✓ | 50.6% | (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
| 52.8% | (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) | |
| 65.8% | (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| 65.1% | (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) | |
| 38.6% | (*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 x x))) x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) | |
| ✓ | 90.4% | (*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
| ✓ | 96.1% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 54.7% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 86.4% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| ✓ | 53.7% | (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| 15.2% | (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) | |
| 52.7% | (*.f64 #s(approx (/ (sin y) (* (neg z) y)) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x)) | |
| 52.8% | #s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) | |
| 42.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) | |
| ✓ | 56.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ✓ | 56.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| 44.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))))) | |
| ✓ | 56.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
| 41.1% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) | |
| ✓ | 56.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
Compiled 680 to 396 computations (41.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) |
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (/ (sin y) (* (neg z) y)) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (*.f64 x z)) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 x x))) x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 46.0ms | z |
| 10.0ms | x |
| 10.0ms | y |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 9.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 98.0% | 2 | y |
| 98.3% | 2 | z |
| 98.7% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 98.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 97.9% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) |
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (/ (sin y) (* (neg z) y)) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (*.f64 x z)) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 x x))) x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 26.0ms | x |
| 9.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 98.0% | 2 | x |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) |
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (/ (sin y) (* (neg z) y)) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (*.f64 x z)) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 x x))) x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 z) y)) (neg.f64 x)) |
| Outputs |
|---|
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
6 calls:
| 41.0ms | z |
| 30.0ms | (/.f64 (sin.f64 y) y) |
| 9.0ms | x |
| 9.0ms | y |
| 8.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (/.f64 (sin.f64 y) y) |
| 90.4% | 1 | x |
| 97.3% | 2 | y |
| 90.4% | 1 | z |
| 90.4% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 92.3% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) |
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (/ (sin y) (* (neg z) y)) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (*.f64 x z)) |
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (*.f64 x x))) x) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))))) |
| Outputs |
|---|
(/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
6 calls:
| 22.0ms | x |
| 8.0ms | z |
| 8.0ms | y |
| 7.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 7.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 1 | x |
| 68.3% | 2 | z |
| 68.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 68.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.8% | 1 | y |
| 68.4% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) |
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
1 calls:
| 5.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) |
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 27.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.1% | 2 | x |
| 66.7% | 2 | y |
| 63.5% | 2 | z |
| 68.1% | 3 | (/.f64 (sin.f64 y) y) |
| 67.7% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 68.8% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))))) z) |
#s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) |
| Outputs |
|---|
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
1 calls:
| 3.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
4 calls:
| 34.0ms | (/.f64 (sin.f64 y) y) |
| 3.0ms | y |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.8% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 65.6% | 2 | (/.f64 (sin.f64 y) y) |
| 65.6% | 2 | y |
| 65.6% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 12.0ms | z |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 1 | x |
| 56.9% | 1 | z |
| 60.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 60.8% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 60.7% | 2 | y |
| 60.8% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 2 | y |
| 59.0% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 59.7% | 2 | (/.f64 (sin.f64 y) y) |
| 59.6% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
3 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.3% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 59.3% | 2 | y |
| 59.3% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 13 to 15 computations (-15.4% saved)
Total -0.1b remaining (-0.3%)
Threshold costs -0.1b (-0.3%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 17.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 1 | x |
| 56.6% | 1 | z |
| 56.6% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 56.6% | 1 | (/.f64 (sin.f64 y) y) |
| 56.6% | 1 | y |
| 56.6% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.391465441524168e-16 | 8.203603151286891e-15 |
| 4.0ms | 48× | 0 | valid |
Compiled 59 to 61 computations (-3.4% saved)
ival-sin: 2.0ms (74.4% of total)ival-div: 1.0ms (37.2% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -398784239.5890288 | -15.78474798447213 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.101788878685619e-5 | 0.014974003503188933 |
| 12.0ms | 112× | 0 | valid |
Compiled 144 to 139 computations (3.5% saved)
ival-div: 1.0ms (28% of total)ival-mult: 1.0ms (28% of total)ival-sin: 1.0ms (28% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.3619295636462386e-66 | -2.676925752454546e-82 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.3619295636462386e-66 | -2.676925752454546e-82 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.109541731644948e-286 | 4.622084807690428e-282 |
| 0.0ms | -1.26642888817017e-165 | -3.0592974601480825e-208 |
Compiled 11 to 13 computations (-18.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.109541731644948e-286 | 4.622084807690428e-282 |
| 0.0ms | -1.26642888817017e-165 | -3.0592974601480825e-208 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.101788878685619e-5 | 0.014974003503188933 |
| 5.0ms | 96× | 0 | valid |
Compiled 123 to 133 computations (-8.1% saved)
ival-div: 1.0ms (34.6% of total)ival-mult: 1.0ms (34.6% of total)ival-sin: 1.0ms (34.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.6222915795841e-310 | 3.3477363149117086e-307 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0589722979606177e-92 | 4.199199367514875e-88 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.6222915795841e-310 | 3.3477363149117086e-307 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 449 |
| 1 | 138 | 449 |
| 2 | 184 | 445 |
| 3 | 255 | 445 |
| 4 | 366 | 445 |
| 5 | 509 | 445 |
| 6 | 701 | 445 |
| 7 | 880 | 445 |
| 8 | 1019 | 445 |
| 9 | 1116 | 445 |
| 10 | 1165 | 445 |
| 11 | 1186 | 445 |
| 12 | 1196 | 445 |
| 13 | 1215 | 445 |
| 14 | 1218 | 445 |
| 15 | 1228 | 445 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -200000000 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 8854437155380585/36893488147419103232 binary64)) #s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 y #s(literal 1438846037749345/18446744073709551616 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7339195571168229/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 x #s(literal 6338253001141147/1267650600228229401496703205376 binary64)) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -200000000 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -200000000 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) |
(if (<=.f64 y #s(literal 8854437155380585/36893488147419103232 binary64)) #s(approx (/ (* (sin y) x) (* z y)) (/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (/.f64 x (/.f64 z #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (/.f64 x #s(approx (/ z (/ (sin y) y)) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y))))) (if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376 binary64)) (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 #s(literal -1/6 binary64) (*.f64 y y)))) (/.f64 x z)) (if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 5357543035931337/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)))) |
(if (<=.f64 y #s(literal 1438846037749345/18446744073709551616 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))) |
(if (<=.f64 y #s(literal 1438846037749345/18446744073709551616 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 (neg.f64 z) x))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 x x) (*.f64 z x))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7339195571168229/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 z z))) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 7339195571168229/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 x (*.f64 z z)) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 2989 |
| 1 | 312 | 2989 |
| 2 | 894 | 2927 |
| 3 | 2226 | 2891 |
| 4 | 3728 | 2889 |
| 5 | 6620 | 2889 |
| 0 | 8019 | 2829 |
| 0 | 27 | 131 |
| 0 | 45 | 131 |
| 1 | 150 | 131 |
| 2 | 792 | 131 |
| 3 | 6648 | 131 |
| 0 | 8324 | 131 |
| 0 | 33 | 189 |
| 0 | 54 | 191 |
| 1 | 189 | 177 |
| 2 | 1078 | 177 |
| 0 | 8492 | 177 |
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 523 | 614 |
| 3 | 1580 | 606 |
| 4 | 2550 | 606 |
| 5 | 4169 | 606 |
| 6 | 4849 | 606 |
| 7 | 5080 | 606 |
| 8 | 5581 | 606 |
| 0 | 8769 | 582 |
| 0 | 35 | 158 |
| 0 | 58 | 150 |
| 1 | 170 | 139 |
| 2 | 834 | 139 |
| 3 | 7098 | 139 |
| 0 | 8076 | 139 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 0 | 129 | 3080 |
| 1 | 378 | 3073 |
| 2 | 1169 | 3005 |
| 3 | 3938 | 2952 |
| 4 | 7791 | 2952 |
| 0 | 8192 | 2859 |
| 0 | 80 | 2746 |
| 1 | 236 | 2746 |
| 2 | 670 | 2682 |
| 3 | 2034 | 2646 |
| 4 | 3462 | 2646 |
| 5 | 6097 | 2646 |
| 6 | 7626 | 2646 |
| 0 | 8087 | 2562 |
| 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 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 793 to 437 computations (44.9% saved)
(negabs z)
(abs y)
Compiled 882 to 304 computations (65.5% saved)
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