
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 10 to 9 computations (10% saved)
| 593.0ms | 8 256× | 0 | valid |
ival-sin: 207.0ms (52.1% of total)ival-div: 117.0ms (29.5% of total)ival-mult: 63.0ms (15.9% of total)ival-true: 7.0ms (1.8% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 13 | 0 | - | 3 | (-1.197579882179055e-221 -1.4857582298167553e+92 -2.1372090368209358e-131) | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 0 | 0 | - | 0 | - | (sin.f64 y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 0 | 0 | - | 0 | - | (/.f64 (sin.f64 y) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) | u/n | 10 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 3 |
| - | 0 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 3 |
| - | 0 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 58 to 25 computations (56.9% saved)
ival-div: 12.0ms (43.4% of total)ival-sin: 11.0ms (39.8% of total)ival-mult: 3.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 504× | unsub-neg |
| 992× | distribute-lft-in |
| 920× | distribute-rgt-in |
| 632× | div-sub |
| 602× | associate-/l* |
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) |
| 40× | lower-*.f32 |
| 38× | lower-*.f64 |
| 30× | lower-/.f32 |
| 26× | lower-/.f64 |
| 14× | *-commutative |
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 | 0.12890625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 2.612285698088531 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 45.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-sin: 15.0ms (75.7% of total)ival-div: 3.0ms (15.1% of total)ival-mult: 2.0ms (10.1% 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)) |
| 1.0ms | 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 |
| 13 374× | lower-fma.f64 |
| 13 374× | lower-fma.f32 |
| 6 064× | lower-*.f64 |
| 6 064× | lower-*.f32 |
| 2 056× | lower-neg.f32 |
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) |
| 3 156× | lower-*.f32 |
| 3 154× | lower-*.f64 |
| 2 052× | lower-/.f32 |
| 2 048× | lower-/.f64 |
| 1 672× | lower--.f32 |
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 |
|---|
#<batchref> |
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Compiled 5 308 to 1 053 computations (80.2% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 12 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 418 | 12 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 88.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| 81.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| ▶ | 53.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| 54.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 85.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| ▶ | 94.8% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) |
| 87.5% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ▶ | 94.7% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 79.0% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 83.5% | (*.f64 (sin.f64 y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) | |
| ▶ | 58.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 83.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
Compiled 222 to 196 computations (11.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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)) | |
| 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) y) x) | |
| cost-diff | 0 | (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) |
| 2 656× | lower-fma.f32 |
| 2 652× | lower-fma.f64 |
| 2 140× | lower-*.f32 |
| 2 128× | lower-*.f64 |
| 1 462× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 181 |
| 0 | 49 | 183 |
| 1 | 91 | 183 |
| 2 | 193 | 177 |
| 3 | 549 | 177 |
| 4 | 1578 | 177 |
| 5 | 2703 | 177 |
| 6 | 4483 | 177 |
| 7 | 5712 | 177 |
| 8 | 5951 | 177 |
| 9 | 6029 | 177 |
| 10 | 6057 | 177 |
| 11 | 6147 | 177 |
| 12 | 6423 | 177 |
| 13 | 6555 | 177 |
| 14 | 6555 | 177 |
| 15 | 6555 | 177 |
| 16 | 6827 | 177 |
| 17 | 7507 | 177 |
| 18 | 7844 | 177 |
| 0 | 8138 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) |
z |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 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 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
#s(literal 1 binary64) |
(/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) |
(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))) |
z |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(*.f64 x (/.f64 (sin.f64 y) y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) |
#s(literal 1/120 binary64) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.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 (/.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 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 3.390589556764127 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) | |
| accuracy | 0 | (neg.f64 (sin.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 6.678657783258335 | (/.f64 x (*.f64 (neg.f64 y) z)) | |
| accuracy | 6.775128528697636 | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) | |
| accuracy | 0.09765625 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) | |
| accuracy | 0.28901229620303437 | (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) | |
| accuracy | 2.612285698088531 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| accuracy | 30.33463101240465 | #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 26.522473186819276 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0.09765625 | (*.f64 (/.f64 (sin.f64 y) y) x) | |
| accuracy | 0.12890625 | (/.f64 (sin.f64 y) y) | |
| accuracy | 0.8596860660704154 | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) | |
| accuracy | 2.5076962431711016 | (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) |
| 129.0ms | 256× | 0 | valid |
Compiled 146 to 27 computations (81.5% saved)
ival-neg: 33.0ms (31.3% of total)ival-div: 32.0ms (30.3% of total)ival-mult: 25.0ms (23.7% of total)ival-sin: 7.0ms (6.6% of total)const: 6.0ms (5.7% of total)ival-add: 2.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) (patch (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 y) y) x) (patch (*.f64 (/.f64 (sin.f64 y) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 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 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (patch (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #<representation binary64>) () ()) |
#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 |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ())) ()) |
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#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 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) (patch (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) (patch (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) (patch (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) (patch (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) x) (patch (*.f64 (/.f64 (sin.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) x) (patch (*.f64 (/.f64 (sin.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) x) (patch (*.f64 (/.f64 (sin.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) x) (patch (*.f64 (/.f64 (sin.f64 y) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (neg.f64 y) z)) (patch (/.f64 x (*.f64 (neg.f64 y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 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 | |
|---|---|---|---|---|
| 45.0ms | x | @ | -inf | ((/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin 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) y) (/ x z)) (sin y) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 6.0ms | y | @ | inf | ((/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin 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) y) (/ x z)) (sin y) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 3.0ms | y | @ | -inf | ((/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin 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) y) (/ x z)) (sin y) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 2.0ms | z | @ | 0 | ((/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin 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) y) (/ x z)) (sin y) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 2.0ms | y | @ | 0 | ((/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (* (/ (sin y) y) x) (/ (sin y) y) (/ (* x (/ (sin y) y)) z) (/ x z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin 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) y) (/ x z)) (sin y) (+ (* 1/120 (* y y)) -1/6) (* (/ x (* (neg y) z)) (neg (sin y)))) |
| 1× | egg-herbie |
| 26 734× | lower-fma.f64 |
| 26 734× | lower-fma.f32 |
| 6 052× | lower-*.f64 |
| 6 052× | lower-*.f32 |
| 3 726× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 3221 |
| 1 | 380 | 3212 |
| 2 | 1203 | 3128 |
| 3 | 4196 | 3075 |
| 0 | 8331 | 2988 |
| 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) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (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)) |
(/ (* 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 x) |
(+ (* 1/6 (/ (* (pow y 2) z) x)) (/ z x)) |
(+ (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 (/ z x)) (* 1/120 (/ z x))))) (* -1/6 (/ z x)))) (/ z x)) |
(+ (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 (/ z x)) (+ (* 1/720 (/ z x)) (* 1/6 (+ (* -1/36 (/ z x)) (* 1/120 (/ z x)))))))) (+ (* -1/36 (/ z x)) (* 1/120 (/ z x))))) (* -1/6 (/ z x)))) (/ z x)) |
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))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) |
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(* -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 |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
-1/6 |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (pow y 2)) 1/6) |
(- (* 1/120 (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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* 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) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -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)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* 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) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(* 1/120 (pow y 4)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(* -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)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(* 1/120 (pow y 2)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* 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 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* 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 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* 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 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)) |
(/ (* 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) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 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 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) |
(/ (* 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) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 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 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) |
(/ (* 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) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) 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 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) |
(/ (* 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) |
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(* 1/120 (pow y 4)) |
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)) |
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64))) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 y y))) (pow.f64 y #s(literal 4 binary64)) #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 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 y)) |
(* -1 (sin y)) |
(neg.f64 (sin.f64 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) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(sin y) |
(sin.f64 y) |
(* 1/120 (pow y 2)) |
(*.f64 #s(literal 1/120 binary64) (*.f64 y y)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2))))) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(/ (* 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) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* 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 (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) |
(/ (* 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) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* 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 (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) |
(/ (* 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) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* 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 (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) |
(/ (* 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) |
| 4 752× | lower-*.f32 |
| 4 740× | lower-*.f64 |
| 4 570× | lower-fma.f32 |
| 4 566× | lower-fma.f64 |
| 3 268× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 149 |
| 0 | 49 | 145 |
| 1 | 164 | 145 |
| 2 | 923 | 145 |
| 0 | 8161 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) |
(/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/.f64 (sin.f64 y) 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 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) |
(/.f64 x (*.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
(neg.f64 (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(sin.f64 y) |
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
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Compiled 27 764 to 3 247 computations (88.3% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 899 | 7 | 1 906 |
| Fresh | 1 | 6 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 901 | 17 | 1 918 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| ▶ | 81.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 53.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| ▶ | 54.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| ▶ | 85.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 86.4% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 z) (*.f64 x (sin.f64 y))) (neg.f64 y))) | |
| 61.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) | |
| 65.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) | |
| 87.5% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| ✓ | 94.7% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ✓ | 79.0% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 48.8% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 83.5% | (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (sin.f64 y))) | |
| ✓ | 58.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 83.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) | |
| ▶ | 58.4% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
Compiled 300 to 261 computations (13% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (*.f64 (/.f64 z x) y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| cost-diff | -384 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| cost-diff | 0 | (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 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) y) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| 1 160× | lower-fma.f32 |
| 1 158× | lower-fma.f64 |
| 1 112× | lower-*.f32 |
| 1 100× | lower-*.f64 |
| 946× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 146 |
| 0 | 45 | 146 |
| 1 | 79 | 144 |
| 2 | 119 | 140 |
| 3 | 154 | 140 |
| 4 | 486 | 140 |
| 5 | 1690 | 140 |
| 6 | 3459 | 140 |
| 7 | 4264 | 140 |
| 8 | 4487 | 140 |
| 9 | 4590 | 140 |
| 10 | 4662 | 140 |
| 11 | 4689 | 140 |
| 12 | 5063 | 140 |
| 13 | 5227 | 140 |
| 14 | 5231 | 140 |
| 15 | 5231 | 140 |
| 16 | 5231 | 140 |
| 17 | 5243 | 140 |
| 18 | 5243 | 140 |
| 0 | 5243 | 140 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(/.f64 (*.f64 x (sin.f64 y)) y) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x) |
x |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
#s(approx (/ (sin y) y) (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(*.f64 (sin.f64 y) x) |
(*.f64 x (sin.f64 y)) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) z) |
(sin.f64 y) |
y |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 6.6649452489173475 | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) | |
| accuracy | 6.887140316882281 | (*.f64 (/.f64 z x) y) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 11.525256481816843 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 0.09765625 | (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) | |
| accuracy | 2.612285698088531 | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| accuracy | 30.368819431657748 | #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) | |
| accuracy | 26.522473186819276 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12890625 | (*.f64 (sin.f64 y) x) | |
| accuracy | 2.612285698088531 | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) | |
| accuracy | 8.06299532161316 | (/.f64 (*.f64 (sin.f64 y) x) y) |
| 67.0ms | 256× | 0 | valid |
Compiled 121 to 26 computations (78.5% saved)
ival-div: 28.0ms (54.5% of total)ival-mult: 11.0ms (21.4% of total)ival-sin: 6.0ms (11.7% of total)const: 4.0ms (7.8% of total)ival-add: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (sin.f64 y) x) (patch (*.f64 (sin.f64 y) x) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) 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>) () ())) ()) |
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#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 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) (patch (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) y) (patch (/.f64 (*.f64 (sin.f64 y) x) y) #<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 z) (taylor -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 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 (* -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 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (patch (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (patch (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) (patch (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) x) (taylor -inf x) (#s(alt (*.f64 (/.f64 z x) y) (patch (*.f64 (/.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | z | @ | 0 | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x)) |
| 3.0ms | x | @ | -inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x)) |
| 2.0ms | y | @ | -inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x)) |
| 2.0ms | z | @ | -inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x)) |
| 2.0ms | x | @ | inf | ((/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (* (sin y) x) (sin y) (* (/ -1 z) (neg x)) (/ (* x (/ (sin y) y)) z) (/ -1 z) (neg x) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* z y) (/ (* (sin y) x) (* z y)) (/ (sin y) (* (/ z x) y)) (* (/ z x) y) (/ z x)) |
| 1× | egg-herbie |
| 15 180× | lower-fma.f64 |
| 15 180× | lower-fma.f32 |
| 4 716× | lower-*.f64 |
| 4 716× | lower-*.f32 |
| 2 586× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 2788 |
| 1 | 218 | 2788 |
| 2 | 619 | 2720 |
| 3 | 1863 | 2682 |
| 4 | 3062 | 2682 |
| 5 | 4557 | 2682 |
| 6 | 5143 | 2682 |
| 7 | 5926 | 2682 |
| 8 | 7534 | 2682 |
| 0 | 8038 | 2613 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
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)))))) |
(* 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 |
(* 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 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(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) |
(* -1/6 (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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(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) |
(* -1/6 (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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ x 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)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* 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) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ x 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)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* 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) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(/ x 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)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ (* y z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 binary64) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
x |
(+ x (* -1/6 (* x (pow y 2)))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1/6 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) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))) |
(*.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y) |
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y x)) |
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) |
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(/ (* 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 z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(/ (* x (sin y)) y) |
(*.f64 (/.f64 (sin.f64 y) y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(/ x 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)) 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 z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ (* y z) x) |
(/.f64 (*.f64 z y) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
| 4 404× | lower-*.f32 |
| 4 392× | lower-*.f64 |
| 2 934× | lower-/.f32 |
| 2 920× | lower-/.f64 |
| 2 868× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 118 |
| 0 | 45 | 118 |
| 1 | 145 | 112 |
| 2 | 675 | 112 |
| 3 | 4925 | 112 |
| 0 | 10030 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
(/.f64 (*.f64 (sin.f64 y) x) y) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
(*.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 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 z y) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
(*.f64 (/.f64 z x) y) |
(/.f64 z x) |
| Outputs |
|---|
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Compiled 27 657 to 2 789 computations (89.9% saved)
25 alts after pruning (16 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 847 | 11 | 1 858 |
| Fresh | 3 | 5 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 850 | 25 | 1 875 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| ✓ | 81.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 53.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| ✓ | 54.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| ✓ | 85.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 83.5% | (/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) | |
| 48.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ▶ | 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
| 65.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) | |
| ▶ | 87.5% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ✓ | 94.7% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ✓ | 79.0% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| 48.8% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 83.5% | (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (sin.f64 y))) | |
| ▶ | 83.6% | #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
| 43.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) | |
| ▶ | 20.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
| 40.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) | |
| 18.1% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) | |
| ▶ | 16.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
| ✓ | 58.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 17.2% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (/.f64 z x))) | |
| 16.9% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x))) | |
| 45.7% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) | |
| ✓ | 58.4% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
Compiled 374 to 342 computations (8.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (/.f64 (/.f64 x y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) | |
| cost-diff | 64 | (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) | |
| cost-diff | 320 | (*.f64 #s(literal 0 binary64) z) | |
| cost-diff | 640 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| 5 038× | lower-*.f32 |
| 5 030× | lower-*.f64 |
| 3 666× | lower-fma.f64 |
| 3 666× | lower-fma.f32 |
| 2 044× | lower--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 161 |
| 0 | 49 | 143 |
| 1 | 90 | 142 |
| 2 | 137 | 142 |
| 3 | 214 | 142 |
| 4 | 342 | 142 |
| 5 | 883 | 142 |
| 6 | 2579 | 142 |
| 7 | 3709 | 142 |
| 8 | 6601 | 142 |
| 0 | 8409 | 142 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(literal 1 binary64) |
#s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) |
(/.f64 z x) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) |
(-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) |
(*.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
z |
(*.f64 z x) |
x |
(*.f64 z z) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (/ (* (sin y) x) y) z) (/.f64 (neg.f64 x) z)) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
z |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(literal 1 binary64) |
#s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) |
(/.f64 z x) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (/ (* (sin y) x) y) z) (/.f64 (neg.f64 x) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) |
(/.f64 (neg.f64 x) z) |
(-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) |
(*.f64 (neg.f64 x) z) |
(*.f64 #s(literal 0 binary64) z) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
z |
(*.f64 z x) |
(*.f64 x z) |
x |
(*.f64 z z) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x)) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) z) x) |
(/.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
(sin.f64 y) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0 | #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) | |
| accuracy | 3.8712170205630825 | (/.f64 (/.f64 x y) z) | |
| accuracy | 6.775128528697636 | (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (*.f64 #s(literal 0 binary64) z) | |
| accuracy | 24.2684386690348 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) | |
| accuracy | 53.18686746267261 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0.8596860660704154 | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) | |
| accuracy | 27.918635338839827 | #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) | |
| accuracy | 0 | (/.f64 (neg.f64 x) z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 53.18686746267261 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.11328125 | (/.f64 (sin.f64 y) z) | |
| accuracy | 7.952257668940198 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| 94.0ms | 256× | 0 | valid |
Compiled 129 to 30 computations (76.7% saved)
ival-div: 23.0ms (53% of total)ival-mult: 11.0ms (25.3% of total)ival-sin: 6.0ms (13.8% of total)ival-sub: 1.0ms (2.3% of total)ival-neg: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) z) (patch (/.f64 (sin.f64 y) z) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) z) (patch (*.f64 #s(literal 0 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (patch #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x 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 #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor 0 z) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor 0 z) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor 0 z) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor 0 z) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) z) (patch (*.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) z) (patch (*.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) z) (patch (*.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt 0 (taylor 0 z) (#s(alt (*.f64 #s(literal 0 binary64) z) (patch (*.f64 #s(literal 0 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (patch #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (patch #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (patch #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (patch #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) (* y z)) (taylor inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (patch (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<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 (* -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 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (* x (sin y))) (taylor -inf x) (#s(alt #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) (patch #s(approx (/ z (* (/ (sin y) y) x)) (/.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 (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (patch (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (patch #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y) (/ (* x (/ (sin y) y)) z) (/ (neg x) z) (neg x) (/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (/ z x) (/ (- (* 0 z) (* z x)) (* z z)) (* 0 z) (- (* 0 z) (* z x)) (/ (* x (/ (sin y) y)) z) (/ (/ (* (sin y) x) y) z) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (* z x)) |
| 3.0ms | x | @ | -inf | ((* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y) (/ (* x (/ (sin y) y)) z) (/ (neg x) z) (neg x) (/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (/ z x) (/ (- (* 0 z) (* z x)) (* z z)) (* 0 z) (- (* 0 z) (* z x)) (/ (* x (/ (sin y) y)) z) (/ (/ (* (sin y) x) y) z) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (* z x)) |
| 3.0ms | z | @ | -inf | ((* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y) (/ (* x (/ (sin y) y)) z) (/ (neg x) z) (neg x) (/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (/ z x) (/ (- (* 0 z) (* z x)) (* z z)) (* 0 z) (- (* 0 z) (* z x)) (/ (* x (/ (sin y) y)) z) (/ (/ (* (sin y) x) y) z) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (* z x)) |
| 2.0ms | z | @ | 0 | ((* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y) (/ (* x (/ (sin y) y)) z) (/ (neg x) z) (neg x) (/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (/ z x) (/ (- (* 0 z) (* z x)) (* z z)) (* 0 z) (- (* 0 z) (* z x)) (/ (* x (/ (sin y) y)) z) (/ (/ (* (sin y) x) y) z) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (* z x)) |
| 2.0ms | x | @ | inf | ((* (/ (sin y) z) (/ x y)) (/ (sin y) z) (sin y) (/ x y) (/ (* x (/ (sin y) y)) z) (/ (neg x) z) (neg x) (/ 1 (/ z (* (/ (sin y) y) x))) (/ z (* (/ (sin y) y) x)) (/ z x) (/ (- (* 0 z) (* z x)) (* z z)) (* 0 z) (- (* 0 z) (* z x)) (/ (* x (/ (sin y) y)) z) (/ (/ (* (sin y) x) y) z) (* (/ (/ x y) z) (sin y)) (/ (/ x y) z) (* z x)) |
| 1× | egg-herbie |
| 24 682× | lower-fma.f64 |
| 24 682× | lower-fma.f32 |
| 6 090× | lower-*.f64 |
| 6 090× | lower-*.f32 |
| 3 436× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 3240 |
| 1 | 328 | 3231 |
| 2 | 1033 | 3143 |
| 3 | 3594 | 3102 |
| 0 | 8166 | 3048 |
| 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) 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)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
0 |
0 |
0 |
0 |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* 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)) |
(/ (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)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ (* y z) (* x (sin y))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
(* -1 (/ x z)) |
0 |
0 |
0 |
0 |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* x z) |
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(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -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 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -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 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -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 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ (* y z) (* x (sin y))) |
(*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) z) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(/ x (* y z)) |
(/.f64 (/.f64 x z) y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
| 3 532× | lower-*.f32 |
| 3 524× | lower-*.f64 |
| 3 250× | lower-/.f32 |
| 3 236× | lower-/.f64 |
| 1 570× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 139 |
| 0 | 49 | 121 |
| 1 | 176 | 120 |
| 2 | 912 | 120 |
| 3 | 7907 | 120 |
| 0 | 8920 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
(/.f64 x y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
(/.f64 (neg.f64 x) z) |
(neg.f64 x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x)) |
(/.f64 z x) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z)) |
(*.f64 #s(literal 0 binary64) z) |
(-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)) |
(/.f64 (/.f64 x y) z) |
(*.f64 z x) |
| Outputs |
|---|
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Compiled 29 794 to 3 822 computations (87.2% saved)
35 alts after pruning (23 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 178 | 14 | 2 192 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 8 | 9 |
| Total | 2 182 | 35 | 2 217 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.5% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z) |
| ✓ | 81.8% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| ✓ | 53.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
| ✓ | 54.6% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
| ✓ | 85.1% | (/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| 83.5% | (/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) | |
| 48.2% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ✓ | 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
| 65.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) | |
| 65.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) | |
| 44.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) | |
| 58.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) | |
| ✓ | 87.5% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ✓ | 94.7% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 48.8% | (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) | |
| 83.5% | (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (sin.f64 y))) | |
| 84.8% | (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) | |
| 52.0% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) | |
| ✓ | 83.6% | #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
| 79.0% | #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) | |
| 18.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) | |
| 20.2% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) | |
| 19.2% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) | |
| 43.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) | |
| 18.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) | |
| 40.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) | |
| 20.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) | |
| 18.1% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) | |
| ✓ | 16.9% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
| ✓ | 58.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 17.2% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (/.f64 z x))) | |
| 20.8% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) | |
| ✓ | 58.4% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
| 16.9% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) | |
| 20.7% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
Compiled 764 to 458 computations (40.1% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) |
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 y x) 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) x) y) z) |
(*.f64 (sin.f64 y) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 (sin.f64 y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 z) (*.f64 x (sin.f64 y))) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (/.f64 (sin.f64 y) y) x))) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 15.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 14.0ms | z |
| 13.0ms | y |
| 13.0ms | (/.f64 (sin.f64 y) y) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 95.9% | 1 | y |
| 95.9% | 1 | z |
| 99.8% | 3 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.8% | 3 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 95.9% | 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)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) |
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 y x) z)) |
(/.f64 (sin.f64 y) (*.f64 (/.f64 z x) y)) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
6 calls:
| 48.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 48.0ms | z |
| 14.0ms | y |
| 11.0ms | x |
| 10.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | y |
| 94.7% | 1 | (/.f64 (sin.f64 y) y) |
| 96.3% | 2 | z |
| 96.5% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.6% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 94.7% | 1 | x |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) |
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 13.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 10.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 96.5% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) |
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
| Outputs |
|---|
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) |
6 calls:
| 19.0ms | (/.f64 (sin.f64 y) y) |
| 13.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 12.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.9% | 2 | x |
| 95.9% | 2 | (/.f64 (sin.f64 y) y) |
| 89.3% | 3 | z |
| 95.9% | 2 | y |
| 94.6% | 5 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 94.1% | 4 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) |
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 24.0ms | (/.f64 (sin.f64 y) y) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | y |
| 94.9% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) |
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) |
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| Outputs |
|---|
#s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 25.0ms | (/.f64 (sin.f64 y) y) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 2 | y |
| 94.8% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)) (/.f64 z x)))) |
(/.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) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) (*.f64 (neg.f64 z) z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x)))) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x z)) z)) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (fma.f64 (*.f64 (/.f64 z x) (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) (/.f64 z x)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
6 calls:
| 14.0ms | (/.f64 (sin.f64 y) y) |
| 13.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 12.0ms | z |
| 8.0ms | y |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 1 | x |
| 65.3% | 1 | z |
| 65.3% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.3% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 65.3% | 1 | y |
| 65.3% | 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)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (*.f64 (neg.f64 x) z) z) z)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (neg.f64 x))) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) z)) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 (neg.f64 z) (neg.f64 (*.f64 x x))) x))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
6 calls:
| 9.0ms | (/.f64 (sin.f64 y) y) |
| 8.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 8.0ms | x |
| 7.0ms | y |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 61.3% | 2 | z |
| 60.3% | 2 | x |
| 65.1% | 2 | y |
| 64.8% | 2 | (/.f64 (sin.f64 y) y) |
| 63.9% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
Compiled 21 to 27 computations (-28.6% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y))) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| 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:
| 4.0ms | y |
| 4.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | (/.f64 (sin.f64 y) y) |
| 64.6% | 2 | y |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 (*.f64 x x)) (*.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (*.f64 (neg.f64 z) x) (*.f64 z z))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
4 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | y |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 4.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 63.5% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 62.4% | 2 | y |
| 63.2% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 19 to 21 computations (-10.5% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.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(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (/.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)) |
4 calls:
| 7.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.3% | 2 | y |
| 60.6% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 61.3% | 2 | (/.f64 (sin.f64 y) y) |
| 61.3% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 19 to 21 computations (-10.5% saved)
Total -27.5b remaining (-103.7%)
Threshold costs -27.5b (-103.7%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (neg.f64 x) z)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 4.0ms | x |
| 3.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 2.0ms | z |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 1 | x |
| 58.6% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 58.6% | 1 | z |
| 58.6% | 1 | y |
| 58.6% | 1 | (/.f64 (sin.f64 y) y) |
| 58.6% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 21 to 27 computations (-28.6% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 3.4043287844395594e-44 | 1.2276939887637496e-43 |
| 4.0ms | 48× | 0 | valid |
Compiled 59 to 61 computations (-3.4% saved)
ival-sin: 2.0ms (77.6% of total)ival-div: 1.0ms (38.8% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.3191199329021843e-308 | -5.5025044233e-314 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.4555544800365364e-157 | -1.8155217559527816e-164 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.004667848655001702 | 252.22306137368074 |
| 10.0ms | 128× | 0 | valid |
Compiled 211 to 189 computations (10.4% saved)
ival-mult: 3.0ms (44.1% of total)ival-div: 2.0ms (29.4% of total)ival-sin: 2.0ms (29.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999963685354452 | 1.0 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999963685354452 | 1.0 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7364640131957974.0 | 351065111788071550.0 |
| 10.0ms | 112× | 0 | valid |
Compiled 158 to 153 computations (3.2% saved)
ival-sin: 5.0ms (68.2% of total)ival-div: 1.0ms (13.6% of total)ival-mult: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2464330826041572e-116 | 3.861843977408871e-112 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5e-322 | 1.53043e-318 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.5e-322 |
Compiled 11 to 13 computations (-18.2% saved)
| 1× | egg-herbie |
| 374× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 244× | neg-mul-1-binary64-*.f64-neg.f64 |
| 222× | neg-sub0-binary64--.f64-neg.f64 |
| 182× | cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64 |
| 142× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 357 |
| 1 | 119 | 357 |
| 2 | 145 | 355 |
| 3 | 189 | 355 |
| 4 | 251 | 355 |
| 5 | 327 | 355 |
| 6 | 475 | 355 |
| 7 | 736 | 355 |
| 8 | 916 | 355 |
| 9 | 1070 | 355 |
| 10 | 1161 | 355 |
| 11 | 1183 | 355 |
| 12 | 1186 | 355 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal -6183260036827613/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 1224979098644775/144115188075855872 binary64)) (/.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) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281473954544255/281474976710656 binary64)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281473954544255/281474976710656 binary64)) #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(if (<=.f64 y #s(literal 235000000000000000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 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 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 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 x #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 x #s(literal 5021681388309345/50216813883093446110686315385661331328818843555712276103168 binary64)) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)) |
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal -1012011266536553/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) |
(if (<=.f64 (*.f64 x (/.f64 (sin.f64 y) y)) #s(literal -6183260036827613/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal -6183260036827613/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y))) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) |
(if (<=.f64 y #s(literal 1224979098644775/144115188075855872 binary64)) (/.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) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)))) |
(if (<=.f64 y #s(literal 1224979098644775/144115188075855872 binary64)) (/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x) z) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 x y) z) (sin.f64 y)))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281473954544255/281474976710656 binary64)) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 281473954544255/281474976710656 binary64)) (*.f64 (/.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 281473954544255/281474976710656 binary64)) #s(approx (/ (/ (* (sin y) x) y) z) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ z (* (/ (sin y) y) x)) (*.f64 (/.f64 z x) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal 235000000000000000 binary64)) (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) (*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) #s(approx (neg (sin y)) (neg.f64 y)))) |
(if (<=.f64 y #s(literal 235000000000000000 binary64)) (/.f64 (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) 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 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 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 3549017208474643/177450860423732151013018507785157357019931972824052260810910693159335763699560039874558361990664932998233037501529828597054346100736 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 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 z (/.f64 (neg.f64 x) (*.f64 z z)))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal 5/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (neg.f64 z) (/.f64 x (*.f64 z z)))) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal 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 z y)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 26 734× | lower-fma.f64 |
| 26 734× | lower-fma.f32 |
| 24 682× | lower-fma.f64 |
| 24 682× | lower-fma.f32 |
| 15 180× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 139 |
| 0 | 49 | 121 |
| 1 | 176 | 120 |
| 2 | 912 | 120 |
| 3 | 7907 | 120 |
| 0 | 8920 | 120 |
| 0 | 29 | 149 |
| 0 | 49 | 145 |
| 1 | 164 | 145 |
| 2 | 923 | 145 |
| 0 | 8161 | 145 |
| 0 | 62 | 634 |
| 1 | 181 | 634 |
| 2 | 523 | 614 |
| 3 | 1580 | 606 |
| 4 | 2550 | 606 |
| 5 | 4169 | 606 |
| 6 | 4849 | 606 |
| 7 | 5080 | 606 |
| 8 | 5581 | 606 |
| 0 | 8769 | 582 |
| 0 | 28 | 118 |
| 0 | 45 | 118 |
| 1 | 145 | 112 |
| 2 | 675 | 112 |
| 3 | 4925 | 112 |
| 0 | 10030 | 112 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 31 | 20 |
| 2 | 151 | 20 |
| 3 | 1048 | 20 |
| 4 | 5271 | 20 |
| 0 | 8084 | 20 |
| 0 | 126 | 3221 |
| 1 | 380 | 3212 |
| 2 | 1203 | 3128 |
| 3 | 4196 | 3075 |
| 0 | 8331 | 2988 |
| 0 | 104 | 3240 |
| 1 | 328 | 3231 |
| 2 | 1033 | 3143 |
| 3 | 3594 | 3102 |
| 0 | 8166 | 3048 |
| 0 | 74 | 2788 |
| 1 | 218 | 2788 |
| 2 | 619 | 2720 |
| 3 | 1863 | 2682 |
| 4 | 3062 | 2682 |
| 5 | 4557 | 2682 |
| 6 | 5143 | 2682 |
| 7 | 5926 | 2682 |
| 8 | 7534 | 2682 |
| 0 | 8038 | 2613 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 560 to 320 computations (42.9% saved)
(negabs z)
(abs y)
Compiled 906 to 404 computations (55.4% saved)
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