
Time bar (total: 8.4s)
| 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)
| 634.0ms | 8 256× | 0 | valid |
ival-sin: 211.0ms (49.9% of total)ival-div: 148.0ms (35% of total)ival-mult: 54.0ms (12.8% of total)ival-true: 7.0ms (1.7% of total)ival-assert: 4.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 11 | 0 | - | 0 | - | (/.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 | 11 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 0 |
| - | 0 | 245 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 0 |
| - | 0 | 0 | 245 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 81 to 32 computations (60.5% saved)
ival-sin: 12.0ms (45.8% of total)ival-div: 7.0ms (26.7% of total)ival-mult: 7.0ms (26.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 |
|---|---|---|
| ▶ | 95.9% | (/.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 | 0.09765625 | (*.f64 x (/.f64 (sin.f64 y) y)) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.5461095976722823 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 76.0ms | 256× | 0 | valid |
Compiled 48 to 16 computations (66.7% saved)
ival-div: 60.0ms (89.1% of total)ival-sin: 6.0ms (8.9% of total)ival-mult: 2.0ms (3% 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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 2.0ms | y | @ | -inf | ((/ (* 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 | z | @ | 0 | ((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y)) |
| 1.0ms | 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)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 13 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 416 | 14 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 83.0% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| ✓ | 95.9% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| ▶ | 54.3% | (/.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) |
| 55.2% | (/.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) | |
| 55.2% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| ▶ | 89.2% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| ▶ | 96.9% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 81.7% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (sin.f64 y)) (/.f64 y (neg.f64 x)))) | |
| 88.8% | (*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) | |
| 82.2% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| 95.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) | |
| ▶ | 83.1% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 49.4% | #s(approx (/ (* x (/ (sin y) y)) 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))) | |
| ▶ | 61.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
Compiled 300 to 241 computations (19.7% 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 | 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)) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 0 | (/.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) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (sin.f64 y)) z) | |
| cost-diff | 0 | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 203 |
| 0 | 54 | 201 |
| 1 | 100 | 201 |
| 2 | 199 | 201 |
| 3 | 587 | 201 |
| 4 | 1710 | 201 |
| 5 | 3183 | 201 |
| 6 | 5224 | 201 |
| 7 | 7133 | 201 |
| 0 | 8106 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
x |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
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 (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 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)))) |
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))) |
(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)) |
(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)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(*.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 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) |
x |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
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 (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 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #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 (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)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
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))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
#s(literal -1/5040 binary64) |
(*.f64 y y) |
y |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(/.f64 x (*.f64 z (/.f64 y (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 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) |
(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 | 4.6940669428143185 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| accuracy | 4.704999527739333 | (*.f64 (/.f64 z x) y) | |
| accuracy | 0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 5.1249702170924465 | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| accuracy | 5.7672375163824405 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 0.09765625 | (*.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)))) | |
| accuracy | 0.25850176069810915 | (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) | |
| accuracy | 2.5461095976722823 | (/.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) | |
| accuracy | 30.46903649063243 | #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))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 24.63300783244658 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.08203125 | (*.f64 (/.f64 y (sin.f64 y)) z) | |
| accuracy | 0.125 | (/.f64 y (sin.f64 y)) | |
| accuracy | 1.9735095342542204 | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 104.0ms | 256× | 0 | valid |
Compiled 339 to 60 computations (82.3% saved)
const: 42.0ms (49.8% of total)ival-mult: 16.0ms (19% of total)ival-div: 13.0ms (15.4% of total)ival-sin: 7.0ms (8.3% of total)ival-add: 4.0ms (4.7% of total)ival-neg: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<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 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#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 (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 -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (patch (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) #<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>) () ()) |
| Outputs |
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#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 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 | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* -1/5040 (* y y)) 1/120) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 6.0ms | y | @ | 0 | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* -1/5040 (* y y)) 1/120) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 4.0ms | y | @ | -inf | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* -1/5040 (* y y)) 1/120) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 3.0ms | y | @ | inf | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* -1/5040 (* y y)) 1/120) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 3.0ms | z | @ | -inf | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1) (/ x (* (neg y) z)) (* (neg y) z) (neg y) (neg (sin y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x) (+ (* -1/5040 (* y y)) 1/120) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 3159 |
| 1 | 414 | 3152 |
| 2 | 1259 | 3080 |
| 3 | 4206 | 3037 |
| 4 | 7877 | 3037 |
| 0 | 8603 | 2957 |
| 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)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin 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 (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))) |
(* -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) 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 (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)) |
(/ (* 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 (* 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) 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 (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)) |
(/ (* 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 (* 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) 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) |
(+ (* -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) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x 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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
(* -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)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (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 (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)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin 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) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -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)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(/ (* 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)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin 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) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* -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)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(/ (* 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) |
(/ 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) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -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)) |
(/ (* 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 (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)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -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)) |
(/ (* 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 (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)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* -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)) |
(/ (* 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)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(* -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 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) 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) |
(/ (* 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(* -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 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) 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) |
(/ (* 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(* -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 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) 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) |
(/ (* 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) 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)) |
(*.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 (*.f64 y y) 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 x z)) |
z |
(+ z (* 1/6 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) 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)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z #s(literal 31/15120 binary64)) (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) 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) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 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 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 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 (*.f64 y y) 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 x z)) |
(/ 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 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 (*.f64 y y) 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 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 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))) |
(+ 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)) |
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)) |
(* -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 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -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)) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y)) |
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1)) |
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(*.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) |
(* -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) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) 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) |
(/ (* 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) 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) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* -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) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) 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) |
(/ (* 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 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 167 |
| 0 | 54 | 165 |
| 1 | 189 | 165 |
| 2 | 1107 | 165 |
| 0 | 8918 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
(/.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 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)))) |
#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))) |
(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)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(neg.f64 (sin.f64 y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
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Compiled 22 887 to 2 442 computations (89.3% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 601 | 13 | 1 614 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 608 | 20 | 1 628 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.0% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 95.9% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 55.2% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) | |
| 55.2% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) | |
| 83.4% | (/.f64 (sin.f64 y) (*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 96.9% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 67.1% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| ▶ | 67.2% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
| 67.2% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| ▶ | 95.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 54.1% | (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
| ✓ | 83.1% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 53.6% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| ✓ | 61.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 61.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| 88.8% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) | |
| ▶ | 61.4% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
Compiled 458 to 368 computations (19.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) | |
| 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 | (/.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: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 234 |
| 0 | 61 | 231 |
| 1 | 110 | 230 |
| 2 | 172 | 228 |
| 3 | 312 | 228 |
| 4 | 891 | 228 |
| 5 | 2342 | 228 |
| 6 | 4079 | 228 |
| 7 | 4769 | 228 |
| 8 | 4991 | 228 |
| 9 | 6010 | 228 |
| 10 | 7387 | 228 |
| 11 | 7963 | 228 |
| 0 | 8050 | 228 |
| 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) |
y |
(/.f64 x z) |
x |
z |
#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 |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
x |
(*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (/ y (sin 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) |
z |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
x |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
| 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 (/.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 |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (/.f64 x z) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) |
x |
(*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
(*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z) |
#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ y (sin 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) |
z |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(*.f64 #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))) (/.f64 x z)) |
(/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (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) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (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))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(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)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 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)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/5040 binary64) |
#s(literal 1/120 binary64) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
x |
(/.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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 10.827650493602825 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| accuracy | 0.109375 | (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) | |
| accuracy | 0.25850176069810915 | (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) | |
| accuracy | 1.9828112490576302 | (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) | |
| accuracy | 30.46903649063243 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0.08203125 | (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 1.9735095342542204 | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| accuracy | 29.93687468964013 | #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) | |
| accuracy | 24.63300783244658 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.10546875 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.650808021981516 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 178.0ms | 256× | 0 | valid |
Compiled 366 to 68 computations (81.4% saved)
ival-div: 53.0ms (55.2% of total)ival-mult: 18.0ms (18.8% of total)const: 12.0ms (12.5% of total)ival-sin: 7.0ms (7.3% of total)ival-add: 5.0ms (5.2% of total)ival-neg: 1.0ms (1% 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) 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 (*.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(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ y (sin 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 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 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 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 (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) (patch (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (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 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) 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)) (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 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #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 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #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 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #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 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) (patch (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | z | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (+ (* (* y y) -1/5040) 1/120)) |
| 3.0ms | y | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (+ (* (* y y) -1/5040) 1/120)) |
| 2.0ms | y | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (+ (* (* y y) -1/5040) 1/120)) |
| 2.0ms | z | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (+ (* (* y y) -1/5040) 1/120)) |
| 2.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (* (/ y (sin y)) z) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (sin y) x) (* z y) (/ (* (sin y) x) (* z y)) (/ x (* (/ y (sin y)) z)) (+ (* (* y y) -1/5040) 1/120)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 3034 |
| 1 | 435 | 3027 |
| 2 | 1305 | 2959 |
| 3 | 4350 | 2912 |
| 0 | 8078 | 2814 |
| 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 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) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (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)) |
(/ (* 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) |
(/ (* 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) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (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)) |
(/ (* 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) |
(/ (* 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) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (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)) |
(/ 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)) |
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) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* 1/6 (pow y 2))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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)) |
(/ 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 |
(+ 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) (- (* (pow y 2) (+ 1/120 (* -1/5040 (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)) |
1/120 |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (pow y 2))) |
(+ 1/120 (* -1/5040 (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)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* 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)) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(/ (* 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)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(* 1/6 (pow y 2)) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* 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)) |
(* -1/5040 (pow y 2)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(/ (* 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) |
(/ (* 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)) |
(* 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)) |
(/ (* 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) |
(/ (* 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)) |
(* 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)) |
(/ (* 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) |
(/ (* 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)) |
(* 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)) |
| 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 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) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) 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)) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) 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)) |
(/ (* 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 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) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) 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)) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) 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)) |
(/ (* 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 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) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) 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)) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/ (sin y) (* y z)) |
(/.f64 (/.f64 (sin.f64 y) z) 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)) |
(/ 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 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 (*.f64 y y) 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 x z)) |
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 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 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 (*.f64 y y) 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 x z)) |
z |
(+ z (* 1/6 (* (pow y 2) z))) |
(fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) 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)))) |
(fma.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z #s(literal 31/15120 binary64)) (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)))) (*.f64 y y) 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) (+ 1/6 (* 7/360 (pow y 2))))) |
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 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)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y 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)) |
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(*.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)) |
(/ (* 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 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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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)) |
(*.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)) |
(/ (* 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 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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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)) |
(*.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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 197 |
| 0 | 61 | 194 |
| 1 | 208 | 191 |
| 2 | 1178 | 191 |
| 0 | 8365 | 191 |
| 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) |
(*.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(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z) |
#s(approx (/ y (sin 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 y y) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #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 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) |
| Outputs |
|---|
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Compiled 18 789 to 2 228 computations (88.1% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 245 | 13 | 1 258 |
| Fresh | 2 | 9 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 250 | 28 | 1 278 |
| Status | Accuracy | Program |
|---|---|---|
| 67.2% | (/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) | |
| ✓ | 83.0% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 95.9% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 55.2% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) | |
| 55.2% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) | |
| 50.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ✓ | 96.9% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 67.1% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 67.2% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) z)) | |
| 24.9% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) | |
| 67.2% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| 88.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) z)) | |
| 67.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) | |
| ✓ | 95.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 67.5% | (*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) | |
| ▶ | 61.4% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
| ✓ | 83.1% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 53.6% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 67.1% | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) | |
| ▶ | 55.0% | (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
| ▶ | 88.8% | (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
| ▶ | 56.6% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
| ✓ | 61.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 61.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| ▶ | 47.7% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
Compiled 622 to 522 computations (16.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) | |
| cost-diff | 448 | (/.f64 x (neg.f64 (*.f64 x x))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) | |
| cost-diff | 0 | (*.f64 y y) | |
| 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 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (/.f64 (/.f64 (sin.f64 y) z) y) | |
| cost-diff | 0 | #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 317 |
| 0 | 69 | 308 |
| 1 | 122 | 306 |
| 2 | 215 | 292 |
| 3 | 603 | 290 |
| 4 | 1634 | 286 |
| 5 | 3692 | 286 |
| 6 | 6220 | 286 |
| 7 | 7741 | 286 |
| 0 | 8054 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
#s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) |
#s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
#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) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 x (neg.f64 (*.f64 x x))) |
x |
(neg.f64 (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
(*.f64 x #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) y) z))) |
#s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) |
#s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) y) z)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (/.f64 (sin.f64 y) y) z) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
x |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
(*.f64 (/.f64 x z) #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) |
#s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
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 (/.f64 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))) |
#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) |
(/.f64 x z) |
x |
z |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 #s(literal -1/6 binary64) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) |
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 #s(literal -1/6 binary64) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) |
(fma.f64 (/.f64 #s(literal -1/6 binary64) z) (*.f64 y y) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(literal -1/6 binary64) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 x z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(neg.f64 x) |
#s(literal 1 binary64) |
(/.f64 x (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) x) |
x |
(neg.f64 (*.f64 x x)) |
(*.f64 (neg.f64 x) x) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) | |
| accuracy | 0.203125 | (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) | |
| accuracy | 24.63300783244658 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) | |
| accuracy | 28.586356110228056 | (/.f64 x (neg.f64 (*.f64 x x))) | |
| accuracy | 0.08822250976844201 | (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 1.9828112490576302 | (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) | |
| accuracy | 7.512715835885212 | (/.f64 (*.f64 y y) z) | |
| accuracy | 30.39449723394231 | #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 0.08984375 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 2.650808021981516 | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) | |
| accuracy | 30.468677472285854 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.109375 | (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) | |
| accuracy | 1.9828112490576302 | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) | |
| accuracy | 30.46903649063243 | #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) | |
| accuracy | 30.9964870220173 | #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) | |
| accuracy | 0.15234375 | (/.f64 (sin.f64 y) z) | |
| accuracy | 1.9828112490576302 | (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) | |
| accuracy | 7.146470565046835 | (/.f64 (/.f64 (sin.f64 y) z) y) |
| 146.0ms | 256× | 0 | valid |
Compiled 379 to 71 computations (81.3% saved)
ival-mult: 42.0ms (48.3% of total)ival-div: 18.0ms (20.7% of total)const: 13.0ms (15% of total)ival-sin: 7.0ms (8.1% of total)ival-add: 6.0ms (6.9% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) (patch #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (sin.f64 y) z) y) (patch (/.f64 (/.f64 (sin.f64 y) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (patch (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) #<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 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) z) (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (neg.f64 (*.f64 x x))) (patch (/.f64 x (neg.f64 (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) (patch #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) (patch #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) (patch #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) (patch #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) z) y) (patch (/.f64 (/.f64 (sin.f64 y) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) z) y) (patch (/.f64 (/.f64 (sin.f64 y) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) z) y) (patch (/.f64 (/.f64 (sin.f64 y) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (sin.f64 y) z) y) (patch (/.f64 (/.f64 (sin.f64 y) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) z) (taylor 0 z) (#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) (patch (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) (patch (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (patch (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (patch (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (patch (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (patch (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) (patch (*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (sin y) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) (patch #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/6 (pow y 2))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/6 (pow y 2))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/6 (pow y 2))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 1 (* -1/6 (pow y 2))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) (patch (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 y y) z) (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (/ (sin y) z) y) (/ (sin y) z) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (/ (* y y) z) (/ 1 (/ x (neg (* x x)))) (* (/ -1 z) (/ 1 (/ x (neg (* x x))))) (/ x (neg (* x x))) (/ (* x (/ (sin y) y)) z)) |
| 3.0ms | z | @ | -inf | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (/ (sin y) z) y) (/ (sin y) z) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (/ (* y y) z) (/ 1 (/ x (neg (* x x)))) (* (/ -1 z) (/ 1 (/ x (neg (* x x))))) (/ x (neg (* x x))) (/ (* x (/ (sin y) y)) z)) |
| 3.0ms | z | @ | 0 | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (/ (sin y) z) y) (/ (sin y) z) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (/ (* y y) z) (/ 1 (/ x (neg (* x x)))) (* (/ -1 z) (/ 1 (/ x (neg (* x x))))) (/ x (neg (* x x))) (/ (* x (/ (sin y) y)) z)) |
| 2.0ms | y | @ | -inf | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (/ (sin y) z) y) (/ (sin y) z) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (/ (* y y) z) (/ 1 (/ x (neg (* x x)))) (* (/ -1 z) (/ 1 (/ x (neg (* x x))))) (/ x (neg (* x x))) (/ (* x (/ (sin y) y)) z)) |
| 2.0ms | y | @ | inf | ((* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (/ (sin y) z) y) (/ (sin y) z) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (/ (sin y) y) (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) (* (/ (sin y) y) (/ x z)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (* (/ (/ (sin y) y) z) x) (/ (/ (sin y) y) z) (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (/ (* y y) z) (/ 1 (/ x (neg (* x x)))) (* (/ -1 z) (/ 1 (/ x (neg (* x x))))) (/ x (neg (* x x))) (/ (* x (/ (sin y) y)) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 3362 |
| 1 | 253 | 3362 |
| 2 | 674 | 3296 |
| 3 | 1663 | 3250 |
| 4 | 3552 | 3240 |
| 5 | 7979 | 3240 |
| 0 | 8190 | 3134 |
| 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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin 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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) 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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin 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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (+ 1 (* -1/6 (pow y 2))) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) 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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin 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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(* -1 (/ (- (* 1/6 (pow y 2)) 1) z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) 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 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)) |
(/ 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)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (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)) |
(/ 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 |
(+ 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) (- (* (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)) |
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))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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)) |
(/ 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 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) 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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin 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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(/ (* 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)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* -1/6 (/ (pow y 2) z)) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) 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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin 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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* -1/5040 (pow y 6)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040)) |
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4))))) |
(/ (* 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)) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(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 z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* -1/6 (/ (pow y 2) z)) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(* (pow y 2) (- (/ 1 (* (pow y 2) z)) (* 1/6 (/ 1 z)))) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) 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 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) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)) |
(/ (* 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)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)) |
(/ (* 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)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y 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 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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ -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 (/.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 (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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ -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 (/.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 (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)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ -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 (/.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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 276 |
| 0 | 69 | 272 |
| 1 | 256 | 268 |
| 2 | 1673 | 249 |
| 0 | 8610 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
#s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) |
(/.f64 (/.f64 (sin.f64 y) z) y) |
(/.f64 (sin.f64 y) z) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) |
#s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #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)) |
#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) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) |
(fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 y y) z) |
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))) |
(/.f64 x (neg.f64 (*.f64 x x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
| Outputs |
|---|
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Compiled 12 388 to 1 993 computations (83.9% saved)
32 alts after pruning (24 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 962 | 9 | 971 |
| Fresh | 2 | 15 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 967 | 32 | 999 |
| Status | Accuracy | Program |
|---|---|---|
| 67.2% | (/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) | |
| ✓ | 83.0% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 55.2% | (/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) | |
| ✓ | 95.9% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 55.2% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) | |
| 54.3% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) | |
| 61.5% | (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) | |
| 50.0% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ✓ | 96.9% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 67.1% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 67.2% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) z)) | |
| 24.9% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) | |
| 67.2% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| 88.5% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) z)) | |
| 67.2% | (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) | |
| ✓ | 95.8% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 67.5% | (*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) | |
| ✓ | 61.4% | (*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
| ✓ | 83.1% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 53.6% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 67.1% | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) | |
| ✓ | 88.8% | (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
| 86.4% | (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) | |
| 34.2% | (*.f64 #s(approx (/ (/ (sin y) y) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))))) x) | |
| 10.5% | (*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) | |
| 56.6% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 x z)) | |
| 56.6% | (*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) | |
| 11.9% | (*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) | |
| ✓ | 61.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 43.8% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
Compiled 976 to 519 computations (46.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))))) x) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) |
(/.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 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) |
#s(approx (/ (* x (/ (sin y) y)) 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))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 x (sin.f64 y))) z)) |
(/.f64 (sin.f64 y) (*.f64 (*.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (sin.f64 y)) (/.f64 y (neg.f64 x)))) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
6 calls:
| 17.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 15.0ms | z |
| 15.0ms | y |
| 15.0ms | (/.f64 (sin.f64 y) y) |
| 15.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 96.9% | 1 | y |
| 99.8% | 2 | z |
| 99.1% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.1% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 96.9% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))))) x) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) |
(/.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 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) |
#s(approx (/ (* x (/ (sin y) y)) 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))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 25.0ms | x |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 1 | x |
| 99.7% | 2 | z |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))))) x) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) |
(/.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 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) |
#s(approx (/ (* x (/ (sin y) y)) 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))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (/.f64 (sin.f64 y) z) y)) x) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 48.0ms | z |
| 21.0ms | (/.f64 (sin.f64 y) y) |
| 15.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 13.0ms | x |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.9% | 2 | x |
| 97.0% | 2 | y |
| 97.0% | 2 | (/.f64 (sin.f64 y) y) |
| 94.6% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 94.7% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.6% | 2 | z |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))))) x) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) |
(/.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 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) |
#s(approx (/ (* x (/ (sin y) y)) 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))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 14.0ms | y |
| 11.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | y |
| 96.8% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) (neg.f64 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 z))))) x) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) z) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y #s(literal 1 binary64)))) z) |
(/.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 x #s(approx (/ (sin y) y) (+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) y) y) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) y) y) (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) z) |
#s(approx (/ (* x (/ (sin y) y)) 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))) |
| Outputs |
|---|
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
6 calls:
| 26.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 18.0ms | z |
| 11.0ms | (/.f64 (sin.f64 y) y) |
| 10.0ms | x |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 1 | x |
| 67.5% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 67.5% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 67.5% | 1 | z |
| 67.5% | 1 | y |
| 67.5% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) 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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(approx (+ (* -1/5040 (* y y)) 1/120) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
6 calls:
| 11.0ms | y |
| 10.0ms | z |
| 9.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 8.0ms | x |
| 7.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 1 | z |
| 67.2% | 1 | x |
| 67.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 67.2% | 1 | (/.f64 (sin.f64 y) y) |
| 67.2% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 67.2% | 1 | y |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 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) |
(/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) z) |
(*.f64 #s(approx (/ (sin y) y) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 y y)) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) z) x) (*.f64 (neg.f64 x) x))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) z))) |
(*.f64 #s(approx (/ (/ (sin y) y) z) (fma.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) z))) x) |
| Outputs |
|---|
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
6 calls:
| 8.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | y |
| 6.0ms | x |
| 6.0ms | z |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 1 | z |
| 67.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 67.2% | 1 | (/.f64 (sin.f64 y) y) |
| 67.2% | 1 | x |
| 67.2% | 1 | y |
| 67.2% | 1 | (/.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)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 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)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
6 calls:
| 6.0ms | x |
| 5.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 61.5% | 1 | x |
| 67.5% | 2 | (/.f64 (sin.f64 y) y) |
| 67.5% | 2 | y |
| 65.4% | 2 | z |
| 67.3% | 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)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
| Outputs |
|---|
(/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 2 | (/.f64 (sin.f64 y) y) |
| 67.4% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) (/.f64 z x)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)))) (/.f64 x z)) |
(*.f64 #s(approx (/ (/ (sin y) y) z) #s(approx (+ (* (/ (* y y) z) -1/6) (/ 1 z)) (*.f64 (/.f64 (*.f64 y y) z) #s(literal -1/6 binary64)))) x) |
| Outputs |
|---|
(*.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)) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 2 | y |
| 67.4% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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))) |
(/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #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)) |
5 calls:
| 8.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 2 | z |
| 63.5% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 63.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 63.8% | 2 | y |
| 63.9% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 20 to 24 computations (-20% saved)
Total -0.1b remaining (-0.4%)
Threshold costs -0.1b (-0.4%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(approx (/ (sin y) y) #s(approx (+ (* (+ (* (+ (* (* y y) -1/5040) 1/120) (* y y)) -1/6) (* y y)) 1) #s(literal 1 binary64))) z) x) |
#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)) |
5 calls:
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | y |
| 2.0ms | z |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 1 | z |
| 61.5% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 61.5% | 1 | y |
| 61.5% | 1 | (/.f64 (sin.f64 y) y) |
| 61.5% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 20 to 24 computations (-20% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.6277690329461022e-94 | 2.1407152743436945e-89 |
| 17.0ms | 80× | 0 | valid |
Compiled 91 to 93 computations (-2.2% saved)
ival-mult: 12.0ms (78.4% of total)ival-sin: 2.0ms (13.1% of total)ival-div: 1.0ms (6.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 4.661567223312204e-107 | 1.858975180043267e-106 |
| 6.0ms | 80× | 0 | valid |
Compiled 96 to 98 computations (-2.1% saved)
ival-sin: 2.0ms (56.5% of total)ival-div: 1.0ms (28.3% of total)ival-mult: 1.0ms (28.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999808797 | 1.0 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999808797 | 1.0 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.54525419442515 | 18.905760903895057 |
| 10.0ms | 96× | 0 | valid |
Compiled 137 to 133 computations (2.9% saved)
ival-sin: 5.0ms (69.8% of total)ival-div: 1.0ms (14% of total)ival-mult: 1.0ms (14% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0092101189774692e-213 | 3.2992436714259593e-212 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999808797 | 1.0 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.4e-322 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 323 |
| 1 | 113 | 323 |
| 2 | 131 | 323 |
| 3 | 153 | 323 |
| 4 | 174 | 323 |
| 5 | 187 | 323 |
| 6 | 194 | 323 |
| 7 | 197 | 323 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 z #s(literal 6403979697655533/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 binary64)) (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1516130949512411/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) (/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 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 0 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 z #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 z #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) |
(if (<=.f64 z #s(literal 6403979697655533/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 z #s(literal 6403979697655533/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 binary64)) (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 z y))) x) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 binary64)) (*.f64 #s(approx (/ (/ (sin y) y) z) (/.f64 (sin.f64 y) (*.f64 y z))) x) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (neg.f64 #s(literal -1 binary64)) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 z x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) #s(approx (/ y (sin y)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))) |
(if (<=.f64 y #s(literal 3602879701896397/562949953421312 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) (/.f64 x z)) (*.f64 #s(approx (neg (sin y)) (neg.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 1516130949512411/758065474756205534740712640850831325809026375545262017157740252942407691741394964028749223060862538061761587254458531838950966818415436714572405896016201728127175281260180617944465471499803928137335448825056869507271897877839872 binary64)) (/.f64 x (*.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 y y)))) z)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 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 (sin.f64 y) y) #s(literal 2251799813642193/2251799813685248 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 0 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 0 binary64)) (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 y z)) #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 | 46 | 276 |
| 0 | 69 | 272 |
| 1 | 256 | 268 |
| 2 | 1673 | 249 |
| 0 | 8610 | 237 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 0 | 32 | 167 |
| 0 | 54 | 165 |
| 1 | 189 | 165 |
| 2 | 1107 | 165 |
| 0 | 8918 | 165 |
| 0 | 36 | 197 |
| 0 | 61 | 194 |
| 1 | 208 | 191 |
| 2 | 1178 | 191 |
| 0 | 8365 | 191 |
| 0 | 146 | 3159 |
| 1 | 414 | 3152 |
| 2 | 1259 | 3080 |
| 3 | 4206 | 3037 |
| 4 | 7877 | 3037 |
| 0 | 8603 | 2957 |
| 0 | 148 | 3034 |
| 1 | 435 | 3027 |
| 2 | 1305 | 2959 |
| 3 | 4350 | 2912 |
| 0 | 8078 | 2814 |
| 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× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 615 to 368 computations (40.2% saved)
(negabs x)
(abs y)
Compiled 996 to 510 computations (48.8% saved)
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