
Time bar (total: 8.7s)
| 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)
| 567.0ms | 8 256× | 0 | valid |
ival-sin: 199.0ms (53% of total)ival-div: 115.0ms (30.6% of total)ival-mult: 52.0ms (13.9% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 0 | - | 1 | (-1.1676773213788059e-255 -1.2300239453625046e+61 7.039281628791077e-295) | (/.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 | 16 | 0 |
| ↳ | (*.f64 x (/.f64 (sin.f64 y) y)) | underflow | 40 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 16 | 1 |
| - | 0 | 239 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 16 | 0 | 1 |
| - | 0 | 0 | 239 |
| number | freq |
|---|---|
| 0 | 240 |
| 1 | 16 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 48.0ms | 512× | 0 | valid |
Compiled 61 to 25 computations (59% saved)
ival-sin: 19.0ms (64.5% of total)ival-div: 7.0ms (23.8% of total)ival-mult: 3.0ms (10.2% 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 x (*.f64 z y)) (sin.f64 y)) |
(abs y)
(negabs z)
(negabs x)
Compiled 11 to 7 computations (36.4% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.7% | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 11 to 7 computations (36.4% 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 | 384 | (/.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 x (*.f64 z y)) (sin.f64 y)) |
(*.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 | 0.1328125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 4.022325553142609 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 21.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-div: 6.0ms (43.1% of total)ival-sin: 6.0ms (43.1% of total)ival-mult: 2.0ms (14.4% 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 | |
|---|---|---|---|---|
| 21.0ms | 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.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)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (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) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 |
|---|
(*.f64 (/.f64 (/.f64 (neg.f64 x) z) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 y y))) y) |
(*.f64 (/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y)) |
(*.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)) (sin.f64 y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 (*.f64 z z))) z) |
(*.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 (*.f64 (*.f64 z z) z))) (*.f64 z z)) |
(*.f64 (/.f64 x (/.f64 (neg.f64 z) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 x (/.f64 z (sin.f64 y))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (sin.f64 y) x))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (*.f64 (neg.f64 x) (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 (sin.f64 y) x)) y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 (sin.f64 y) x)) y) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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(sin.f64 y) |
(-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (neg.f64 (sin.f64 y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sin.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 y)) (sin.f64 y)) |
(+.f64 #s(literal 0 binary64) (sin.f64 y)) |
(+.f64 (sin.f64 y) (*.f64 (cos.f64 y) #s(literal 0 binary64))) |
(+.f64 (sin.f64 y) #s(literal 0 binary64)) |
Compiled 5 538 to 1 028 computations (81.4% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 20 | 429 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 410 | 20 | 430 |
| Status | Accuracy | Program |
|---|---|---|
| 85.4% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 81.5% | (/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) | |
| 85.0% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| 85.5% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 54.6% | (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) | |
| ▶ | 55.7% | (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
| 39.0% | (/.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))) z) | |
| 54.8% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| 55.7% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) | |
| 54.7% | (/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) | |
| 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) | |
| 85.3% | (*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (/.f64 #s(literal 1 binary64) y)) | |
| 89.5% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| ▶ | 81.8% | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
| ▶ | 97.6% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| ▶ | 85.9% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| 85.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) | |
| 47.4% | #s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) | |
| ▶ | 60.7% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 54.7% | #s(approx (/ (* x (/ (sin y) y)) 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)) |
Compiled 602 to 356 computations (40.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) z) | |
| cost-diff | 384 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 x (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) | |
| cost-diff | 384 | (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) y) | |
| cost-diff | 384 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 150× | lower-*.f32 |
| 136× | lower-*.f64 |
| 90× | lower-/.f32 |
| 76× | lower-/.f64 |
| 74× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 156 |
| 0 | 45 | 156 |
| 1 | 75 | 156 |
| 2 | 107 | 156 |
| 3 | 129 | 151 |
| 4 | 216 | 151 |
| 5 | 237 | 151 |
| 0 | 237 | 146 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(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 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(sin.f64 y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
x |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
(sin.f64 y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (sin.f64 y) z) |
(sin.f64 y) |
y |
z |
(/.f64 x y) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.125 | (/.f64 (sin.f64 y) z) | |
| accuracy | 11.52130361778827 | (*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 3.949276301165841 | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) | |
| accuracy | 5.180521037246882 | (/.f64 x (*.f64 z y)) | |
| accuracy | 0.09765625 | (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) | |
| accuracy | 0.1328125 | (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) | |
| accuracy | 4.022325553142609 | (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) | |
| accuracy | 30.406560259308897 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 25.16486832693715 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.1328125 | (/.f64 (sin.f64 y) y) | |
| accuracy | 1.5014040215149487 | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 64.0ms | 256× | 0 | valid |
Compiled 120 to 23 computations (80.8% saved)
ival-mult: 11.0ms (34.2% of total)ival-div: 10.0ms (31.1% of total)ival-sin: 6.0ms (18.6% of total)const: 4.0ms (12.4% of total)ival-add: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) y) (patch (/.f64 (sin.f64 y) y) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) (patch (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) (patch (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) (patch (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.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 (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (patch (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) (patch (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) (patch (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) (patch (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) (patch (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (patch (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z 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 (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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 2.0ms | y | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 2.0ms | z | @ | -inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 2.0ms | x | @ | inf | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 2.0ms | x | @ | 0 | ((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) (/ x z) (/ (* x (/ (sin y) y)) z) (/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) (/ (sin y) y) (sin y) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (* (/ (sin y) z) (/ x y)) (/ (sin y) z) (/ x y)) |
| 1× | egg-herbie |
| 20 230× | lower-fma.f64 |
| 20 230× | lower-fma.f32 |
| 5 428× | lower-*.f64 |
| 5 428× | lower-*.f32 |
| 2 080× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 2622 |
| 1 | 250 | 2622 |
| 2 | 691 | 2548 |
| 3 | 2071 | 2514 |
| 4 | 3661 | 2512 |
| 5 | 6731 | 2512 |
| 0 | 8108 | 2446 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* 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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) 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)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) 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)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) |
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ 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 z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 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)) |
(/ y z) |
(* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* 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)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (* x (sin y)) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(/ (sin y) y) |
(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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* 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)) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ (sin y) z) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
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(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) z) |
(/ (sin y) z) |
(/.f64 (sin.f64 y) 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 4 506× | lower-*.f32 |
| 4 492× | lower-*.f64 |
| 2 982× | lower-/.f32 |
| 2 968× | lower-/.f64 |
| 2 862× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 116 |
| 0 | 45 | 116 |
| 1 | 136 | 116 |
| 2 | 722 | 112 |
| 3 | 5180 | 112 |
| 0 | 8576 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(/.f64 (sin.f64 y) y) |
(sin.f64 y) |
(/.f64 x z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(/.f64 (sin.f64 y) z) |
(/.f64 x y) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z)) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 x (sin.f64 y))) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z (*.f64 x (sin.f64 y))) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 (sin.f64 y) y)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 x z) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x (*.f64 z y))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) z) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 z y))) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (sin.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 z y)))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(*.f64 (*.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 x (sin.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (sin.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (sin.f64 y)))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) z) (neg.f64 y))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (sin.f64 y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) z))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y x))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z x))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (*.f64 (neg.f64 y) z))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y)))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 z y))) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (/.f64 z (*.f64 x (sin.f64 y))) y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 z (*.f64 x (sin.f64 y))) y) (*.f64 (/.f64 z (*.f64 x (sin.f64 y))) y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 x (sin.f64 y))) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 z) (sin.f64 y))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (neg.f64 z) (sin.f64 y)) (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)) |
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(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (/.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 y) (neg.f64 x))) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x)) (*.f64 y y)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 x y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
Compiled 16 012 to 1 410 computations (91.2% saved)
31 alts after pruning (28 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 341 | 18 | 1 359 |
| Fresh | 5 | 10 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 348 | 31 | 1 379 |
| Status | Accuracy | Program |
|---|---|---|
| 85.4% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 35.4% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) | |
| 85.0% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| ▶ | 47.1% | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
| 85.5% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| 54.6% | (/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) | |
| 39.0% | (/.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))) z) | |
| 54.8% | (/.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) | |
| 46.1% | (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) | |
| ▶ | 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 91.7% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| 85.3% | (*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (/.f64 #s(literal 1 binary64) y)) | |
| ▶ | 89.5% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| ✓ | 97.6% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 50.1% | (*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) | |
| ✓ | 85.9% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| 47.5% | (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| 85.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) | |
| 47.0% | (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) | |
| 85.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x) (sin.f64 y)) | |
| 51.3% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) | |
| 55.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 56.2% | (*.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))) (/.f64 x z)) | |
| 57.2% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) | |
| ▶ | 60.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
| 37.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) | |
| 44.0% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) | |
| ✓ | 60.7% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| 60.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| 55.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) | |
| ▶ | 60.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
Compiled 919 to 558 computations (39.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 (sin.f64 y) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| cost-diff | 384 | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) 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) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 1408 | (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) 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) x)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) x) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 y (sin.f64 y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (sin.f64 y)) z) | |
| cost-diff | 384 | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 742× | times-frac |
| 490× | lower-*.f32 |
| 476× | lower-*.f64 |
| 298× | lower-/.f32 |
| 282× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 170 |
| 0 | 48 | 166 |
| 1 | 83 | 158 |
| 2 | 134 | 158 |
| 3 | 270 | 154 |
| 4 | 714 | 154 |
| 5 | 1048 | 154 |
| 6 | 1233 | 154 |
| 7 | 1239 | 154 |
| 8 | 1242 | 154 |
| 9 | 1242 | 154 |
| 0 | 1242 | 150 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
x |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 x y) |
x |
y |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
y |
(*.f64 z y) |
z |
x |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
x |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(*.f64 z (/.f64 y (sin.f64 y))) |
(/.f64 y (sin.f64 y)) |
y |
(sin.f64 y) |
z |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(/.f64 #s(literal 1 binary64) x) |
x |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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)) |
#s(literal -1/6 binary64) |
(*.f64 y y) |
#s(literal 1 binary64) |
z |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(sin.f64 y) |
y |
(*.f64 z y) |
z |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 2.9150094399718407 | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) | |
| accuracy | 7.149725333643895 | (/.f64 (sin.f64 y) (*.f64 z y)) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) | |
| accuracy | 4.022325553142609 | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) | |
| accuracy | 8.795524380306215 | (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) | |
| accuracy | 30.406560259308897 | #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.25390625 | (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 25.16486832693715 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.19921875 | (*.f64 (/.f64 #s(literal 1 binary64) z) x) | |
| accuracy | 25.16486832693715 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.0859375 | (*.f64 (/.f64 y (sin.f64 y)) z) | |
| accuracy | 0.1171875 | (/.f64 y (sin.f64 y)) | |
| accuracy | 2.912449835074574 | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 57.0ms | 256× | 0 | valid |
Compiled 133 to 28 computations (78.9% saved)
ival-div: 15.0ms (38.7% of total)ival-mult: 13.0ms (33.6% of total)ival-sin: 6.0ms (15.5% of total)const: 4.0ms (10.3% of total)ival-add: 1.0ms (2.6% 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 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sin.f64 y)) (patch (/.f64 y (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) (patch (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (sin.f64 y) (*.f64 z y)) (patch (/.f64 (sin.f64 y) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (patch (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) (sin y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sin.f64 y)) z) (patch (*.f64 (/.f64 y (sin.f64 y)) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) (patch (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) (patch (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) (patch (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) 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 (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) (patch (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (* (/ 1 z) x) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (/ 1 z) (/ 1 x)) (/ (* x (/ (sin y) y)) z) (/ 1 x) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (+ (* -1/6 (* y y)) 1)) |
| 3.0ms | x | @ | 0 | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (* (/ 1 z) x) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (/ 1 z) (/ 1 x)) (/ (* x (/ (sin y) y)) z) (/ 1 x) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (+ (* -1/6 (* y y)) 1)) |
| 3.0ms | z | @ | -inf | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (* (/ 1 z) x) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (/ 1 z) (/ 1 x)) (/ (* x (/ (sin y) y)) z) (/ 1 x) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (+ (* -1/6 (* y y)) 1)) |
| 2.0ms | y | @ | inf | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (* (/ 1 z) x) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (/ 1 z) (/ 1 x)) (/ (* x (/ (sin y) y)) z) (/ 1 x) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (+ (* -1/6 (* y y)) 1)) |
| 2.0ms | x | @ | -inf | ((/ x (* (/ y (sin y)) z)) (* (/ y (sin y)) z) (/ y (sin y)) (sin y) (* (/ 1 z) x) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (/ 1 z) (/ 1 x)) (/ (* x (/ (sin y) y)) z) (/ 1 x) (/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) (sin y) (* (/ (sin y) (* z y)) x) (/ (sin y) (* z y)) (* z y) (+ (* -1/6 (* y y)) 1)) |
| 1× | egg-herbie |
| 30 640× | lower-fma.f64 |
| 30 640× | lower-fma.f32 |
| 6 356× | lower-*.f64 |
| 6 356× | lower-*.f32 |
| 4 108× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 2806 |
| 1 | 367 | 2799 |
| 2 | 1135 | 2725 |
| 3 | 3841 | 2688 |
| 4 | 7302 | 2688 |
| 0 | 8341 | 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)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (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 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* 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)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (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 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* 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)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (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 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* 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)) |
z |
(+ z (* 1/6 (* (pow y 2) z))) |
(+ z (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
(+ z (* (pow y 2) (- (* (pow y 2) (- (* -1 (* (pow y 2) (+ (* -1/5040 z) (+ (* 1/720 z) (* 1/6 (+ (* -1/36 z) (* 1/120 z))))))) (+ (* -1/36 z) (* 1/120 z)))) (* -1/6 z)))) |
1 |
(+ 1 (* 1/6 (pow y 2))) |
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) |
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(/ x 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) |
(/ x y) |
(/ x y) |
(/ x y) |
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)) |
(/ 1 z) |
(+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)) |
(+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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 y) |
(/ x y) |
(/ x y) |
(/ x 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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ (* y z) (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(/ y (sin y)) |
(sin y) |
(sin y) |
(sin y) |
(sin y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y 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 y) |
(/ x y) |
(/ x y) |
(/ x 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)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(/ (sin y) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ 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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (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 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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (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 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 y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
| Outputs |
|---|
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
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(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ (* y z) (sin y)) |
(*.f64 (/.f64 z (sin.f64 y)) y) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 y)) |
(/ y (sin y)) |
(/.f64 y (sin.f64 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(/ (sin y) (* y z)) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1/6 (pow y 2)) |
(*.f64 (*.f64 y y) #s(literal -1/6 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (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 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 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| 5 330× | lower-*.f32 |
| 5 316× | lower-*.f64 |
| 3 290× | lower-/.f32 |
| 3 274× | lower-/.f64 |
| 3 164× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 137 |
| 0 | 48 | 133 |
| 1 | 154 | 125 |
| 2 | 765 | 122 |
| 3 | 4758 | 122 |
| 0 | 9466 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(*.f64 (/.f64 y (sin.f64 y)) z) |
(/.f64 y (sin.f64 y)) |
(sin.f64 y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) |
(/.f64 x y) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (sin.f64 y) (*.f64 z y)) |
(*.f64 z y) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 (neg.f64 y) z)) (neg.f64 (sin.f64 y))) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 z y)) (neg.f64 (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 y))) |
(*.f64 (pow.f64 (*.f64 (/.f64 z (*.f64 (sin.f64 y) x)) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z (*.f64 (sin.f64 y) x)) y) #s(literal -1/2 binary64))) |
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) #s(literal 1/1296 binary64) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) #s(literal -1/10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1/6 binary64))) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y))) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 #s(literal 1/36 binary64) (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (/.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) y) (/.f64 y (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1/36 binary64) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (exp.f64 (log.f64 #s(literal -1/6 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) #s(literal -1/6 binary64)) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 #s(literal -1/6 binary64) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 y y)) (*.f64 y y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 y y) #s(literal -1/6 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) |
Compiled 20 908 to 2 399 computations (88.5% saved)
39 alts after pruning (32 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 446 | 15 | 1 461 |
| Fresh | 6 | 17 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 453 | 39 | 1 492 |
| Status | Accuracy | Program |
|---|---|---|
| 85.4% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 85.0% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| 45.8% | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) | |
| 46.9% | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) | |
| 13.2% | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) | |
| 56.4% | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) | |
| ▶ | 85.5% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 39.0% | (/.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))) z) | |
| 54.8% | (/.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) | |
| ✓ | 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 68.0% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 68.0% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| 68.2% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) | |
| 43.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) | |
| ▶ | 91.7% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
| 85.3% | (*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 89.5% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| ✓ | 97.6% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 49.3% | (*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) | |
| 50.1% | (*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) | |
| ✓ | 85.9% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| ▶ | 47.5% | (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
| 85.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) | |
| 85.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x) (sin.f64 y)) | |
| 54.6% | (*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) | |
| 51.3% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) | |
| 55.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 56.2% | (*.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))) (/.f64 x z)) | |
| 57.2% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) | |
| 60.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 60.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
| 36.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) | |
| 60.3% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| 44.0% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) | |
| ✓ | 60.7% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ▶ | 60.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| 55.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) | |
| ▶ | 60.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
| ✓ | 60.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
Compiled 1 211 to 717 computations (40.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (*.f64 (sin.f64 y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) | |
| cost-diff | 320 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (/.f64 x (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z x)) | |
| cost-diff | 0 | (sin.f64 y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| cost-diff | 384 | (/.f64 (/.f64 x z) y) |
| 620× | times-frac |
| 442× | lower-*.f32 |
| 428× | lower-*.f64 |
| 230× | lower-/.f32 |
| 218× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 178 |
| 0 | 54 | 176 |
| 1 | 88 | 176 |
| 2 | 143 | 170 |
| 3 | 189 | 167 |
| 4 | 418 | 167 |
| 5 | 749 | 167 |
| 6 | 819 | 167 |
| 7 | 922 | 167 |
| 8 | 1015 | 167 |
| 9 | 1018 | 167 |
| 10 | 1018 | 167 |
| 0 | 1018 | 164 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(/.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
y |
(sin.f64 y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(sqrt.f64 x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
z |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(/.f64 (/.f64 x z) y) |
(/.f64 x (*.f64 y z)) |
(/.f64 x z) |
x |
z |
y |
(sin.f64 y) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
#s(literal 1 binary64) |
(/.f64 z x) |
z |
x |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 y z))) |
(/.f64 x (*.f64 z y)) |
(/.f64 x (*.f64 y z)) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
#s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
#s(literal -1/6 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) |
(/.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(sqrt.f64 x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (sin.f64 y) x) |
(sin.f64 y) |
y |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 0.12109375 | (*.f64 (sin.f64 y) x) | |
| accuracy | 9.212200913918222 | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) | |
| accuracy | 0.11328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.21160126953688402 | (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) | |
| accuracy | 0.2890625 | (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 25.16486832693715 | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) | |
| accuracy | 3.949276301165841 | (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) | |
| accuracy | 5.180521037246882 | (/.f64 x (*.f64 z y)) | |
| accuracy | 30.406560259308897 | #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0.4559429073157909 | (/.f64 #s(literal 1 binary64) (/.f64 z x)) | |
| accuracy | 25.16486832693715 | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (sin.f64 y) | |
| accuracy | 3.949276301165841 | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) | |
| accuracy | 4.832800847351336 | (/.f64 (/.f64 x z) y) |
| 107.0ms | 256× | 0 | valid |
Compiled 146 to 31 computations (78.8% saved)
ival-sin: 41.0ms (46.6% of total)ival-div: 20.0ms (22.7% of total)ival-mult: 18.0ms (20.4% of total)const: 4.0ms (4.5% of total)ival-sqrt: 3.0ms (3.4% of total)ival-add: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 x z) y) (patch (/.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (sin.f64 y) (patch (sin.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (patch #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<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) x) (patch (*.f64 (sin.f64 y) x) #<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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) y) (patch (/.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) y) (patch (/.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) y) (patch (/.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 x z) y) (patch (/.f64 (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) (patch (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor 0 z) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y z)) (taylor 0 z) (#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt x) (/ 1 z)) (taylor 0 z) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (patch (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) (patch (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.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 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.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 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.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 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.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 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (patch #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (sin y)) (* y z)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (patch (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (sin y)) (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 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | ((/ (/ x z) y) (* (/ (/ x z) y) (sin y)) (/ x z) (sin y) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (/ (/ 1 z) (sqrt (/ 1 x))) (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* y y) -1/6) 1) (sqrt (/ 1 x))) |
| 3.0ms | z | @ | -inf | ((/ (/ x z) y) (* (/ (/ x z) y) (sin y)) (/ x z) (sin y) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (/ (/ 1 z) (sqrt (/ 1 x))) (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* y y) -1/6) 1) (sqrt (/ 1 x))) |
| 2.0ms | z | @ | 0 | ((/ (/ x z) y) (* (/ (/ x z) y) (sin y)) (/ x z) (sin y) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (/ (/ 1 z) (sqrt (/ 1 x))) (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* y y) -1/6) 1) (sqrt (/ 1 x))) |
| 2.0ms | z | @ | inf | ((/ (/ x z) y) (* (/ (/ x z) y) (sin y)) (/ x z) (sin y) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (/ (/ 1 z) (sqrt (/ 1 x))) (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* y y) -1/6) 1) (sqrt (/ 1 x))) |
| 2.0ms | x | @ | inf | ((/ (/ x z) y) (* (/ (/ x z) y) (sin y)) (/ x z) (sin y) (/ 1 (/ z x)) (/ (* x (/ (sin y) y)) z) (/ z x) (* (/ x (* z y)) (sin y)) (/ x (* z y)) (* z y) (sin y) (/ (/ 1 z) (sqrt (/ 1 x))) (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/ (* x (/ (sin y) y)) z) (/ 1 z) (/ (* (sin y) x) (* z y)) (* (sin y) x) (+ (* (* y y) -1/6) 1) (sqrt (/ 1 x))) |
| 1× | egg-herbie |
| 19 284× | lower-fma.f64 |
| 19 284× | lower-fma.f32 |
| 4 856× | lower-*.f64 |
| 4 856× | lower-*.f32 |
| 3 756× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 2954 |
| 1 | 235 | 2894 |
| 2 | 667 | 2824 |
| 3 | 1935 | 2790 |
| 4 | 3031 | 2790 |
| 5 | 5060 | 2790 |
| 6 | 5374 | 2790 |
| 7 | 6146 | 2790 |
| 8 | 7806 | 2790 |
| 0 | 8018 | 2733 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ (* x (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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ (* x (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 (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ (* x (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) |
(+ (* -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)))) |
(/ 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(/ x 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 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))))))) |
1 |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(+ 1 (* -1/6 (pow y 2))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* 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) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin 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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(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)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* 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) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin 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)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(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)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* -1/6 (pow y 2)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(* (sqrt x) (/ 1 z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ 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 (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* -1 (* (sqrt x) (/ 1 z))) |
(* -1 (* (sqrt x) (/ 1 z))) |
(* -1 (* (sqrt x) (/ 1 z))) |
(* -1 (* (sqrt x) (/ 1 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)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(/ (* x (sin y)) (* y z)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* x (sin y)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ 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 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z 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 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ 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 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z 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 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ 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 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(* (sqrt x) (/ 1 z)) |
(/.f64 (sqrt.f64 x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z 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 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 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)) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.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)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (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) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
y |
(* y (+ 1 (* -1/6 (pow y 2)))) |
(*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y) |
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))) |
(*.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)) y) |
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) |
(*.f64 (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) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) z) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)) |
(*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) |
(+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1/6 (* x (pow y 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) 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))))))) |
(*.f64 (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) y) |
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)) |
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(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
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(sin y) |
(sin.f64 y) |
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(* (pow y 2) (- (/ 1 (pow y 2)) 1/6)) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
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(sin y) |
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(*.f64 z y) |
(* y z) |
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(* y z) |
(*.f64 z y) |
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(sin.f64 y) |
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(sin.f64 y) |
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(sin y) |
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(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
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(/ x (* y z)) |
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(/ x (* y z)) |
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(* (sqrt x) (/ 1 z)) |
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(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
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(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
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(*.f64 (sin.f64 y) x) |
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(*.f64 (sin.f64 y) x) |
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(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ x (* y z)) |
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(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* -1 (* (sqrt x) (/ 1 z))) |
(/.f64 (sqrt.f64 x) (neg.f64 z)) |
(* -1 (* (sqrt x) (/ 1 z))) |
(/.f64 (sqrt.f64 x) (neg.f64 z)) |
(* -1 (* (sqrt x) (/ 1 z))) |
(/.f64 (sqrt.f64 x) (neg.f64 z)) |
(* -1 (* (sqrt x) (/ 1 z))) |
(/.f64 (sqrt.f64 x) (neg.f64 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) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(/ (* x (sin y)) (* y z)) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 z y))) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* x (sin y)) |
(*.f64 (sin.f64 y) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
| 3 786× | lower-*.f32 |
| 3 772× | lower-*.f64 |
| 2 652× | lower-fma.f32 |
| 2 650× | lower-fma.f64 |
| 2 376× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 140 |
| 0 | 54 | 120 |
| 1 | 169 | 115 |
| 2 | 864 | 113 |
| 3 | 6015 | 113 |
| 0 | 8052 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x z) y) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(/.f64 x z) |
(sin.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
(/.f64 z x) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(/.f64 x (*.f64 z y)) |
(*.f64 z y) |
#s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (sin.f64 y) x) |
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (neg.f64 x) (*.f64 y z)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (neg.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) x) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y)) |
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (neg.f64 z) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z x) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 z x)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 z)) |
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) y)) (neg.f64 z)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 z)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 z x)) |
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z)) |
(/.f64 (/.f64 (neg.f64 x) (*.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x y) z) |
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) z))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 z) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y x)) |
(/.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (/.f64 (neg.f64 x) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) y)) |
(/.f64 (/.f64 x z) y) |
(/.f64 x (*.f64 (*.f64 (neg.f64 y) z) #s(literal -1 binary64))) |
(/.f64 x (*.f64 y z)) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z x))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 x) z))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 z) x))) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) z)) (/.f64 (neg.f64 x) (*.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) (*.f64 y z))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z)) (neg.f64 x)) |
(*.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 (sin.f64 y) x)) z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 y (*.f64 (sin.f64 y) x)) z) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) z) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64)) (/.f64 x z)) |
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) (neg.f64 z))) |
(*.f64 (/.f64 (sin.f64 y) (neg.f64 z)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 y)) x)) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (/.f64 (sin.f64 y) y) x))) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (/.f64 (sin.f64 y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (*.f64 (neg.f64 (sin.f64 y)) x)) |
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) z)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) x) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (sin.f64 y) z) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 (sin.f64 y)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 x) (*.f64 (sin.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 y z)))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (sin.f64 y))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (sin.f64 y) y))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (sin.f64 y) y) (neg.f64 z))) |
(*.f64 (neg.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) z))) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) (*.f64 y z))) |
(*.f64 (neg.f64 x) (/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) z)) |
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (*.f64 (neg.f64 y) z))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (neg.f64 x))) |
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 (sin.f64 y) y) x)) |
(*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) |
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y))) |
(*.f64 (sin.f64 y) (/.f64 x (*.f64 y z))) |
(*.f64 (/.f64 x z) (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y)) |
(*.f64 x (*.f64 (/.f64 (sin.f64 y) z) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 (sin.f64 y) x)) z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 y (*.f64 (sin.f64 y) x)) z) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (sin.f64 y)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (sin.f64 y) z) x) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 x y) (neg.f64 (sin.f64 y))) (neg.f64 z)) |
(/.f64 (*.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64)) z) |
(/.f64 (/.f64 (sin.f64 y) (/.f64 (neg.f64 y) x)) (neg.f64 z)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 y)) x)) (*.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (sin.f64 y)) x) #s(literal -1 binary64)) (*.f64 y z)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal 1 binary64) z)) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 z x) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))) (*.f64 (/.f64 (neg.f64 z) x) y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)) (*.f64 (/.f64 z x) y)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (*.f64 (/.f64 (neg.f64 z) x) y)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 z) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (/.f64 (sin.f64 y) (*.f64 y z)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (/.f64 (sin.f64 y) z) x) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))) |
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) |
(/.f64 (/.f64 (sin.f64 y) z) (*.f64 (/.f64 #s(literal 1 binary64) x) y)) |
(/.f64 (/.f64 (sin.f64 y) z) (/.f64 y x)) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) z))) |
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (*.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 z x) (neg.f64 y))) |
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (neg.f64 z) x) y)) |
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 y) (sin.f64 y))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (*.f64 #s(literal 1 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (neg.f64 z)) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (/.f64 z (sin.f64 y)) y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 z (sin.f64 y)))) |
(/.f64 (neg.f64 x) (*.f64 (/.f64 z (sin.f64 y)) (neg.f64 y))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (/.f64 y (sin.f64 y)))) |
(/.f64 (neg.f64 x) (*.f64 z (/.f64 (neg.f64 y) (sin.f64 y)))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 z (sin.f64 y)) y))) |
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(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x))) |
Compiled 21 413 to 1 980 computations (90.8% saved)
38 alts after pruning (29 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 584 | 7 | 1 591 |
| Fresh | 5 | 22 | 27 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 6 | 7 |
| Total | 1 592 | 38 | 1 630 |
| Status | Accuracy | Program |
|---|---|---|
| 85.4% | (/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) | |
| 85.0% | (/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) | |
| 45.8% | (/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) | |
| ✓ | 85.5% | (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
| 45.3% | (/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) | |
| 39.0% | (/.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))) z) | |
| 54.8% | (/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) | |
| 52.8% | (/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) | |
| ✓ | 95.4% | (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| 68.0% | (/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) | |
| 68.0% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) | |
| 68.2% | (/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) | |
| ✓ | 91.7% | (*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
| 85.3% | (*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (/.f64 #s(literal 1 binary64) y)) | |
| ✓ | 89.5% | (*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| ✓ | 97.6% | (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
| 50.1% | (*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) | |
| ✓ | 85.9% | (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| 57.4% | (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) | |
| 85.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) | |
| 85.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x) (sin.f64 y)) | |
| 54.6% | (*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) | |
| 51.3% | (*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) | |
| 55.7% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) | |
| 56.2% | (*.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))) (/.f64 x z)) | |
| 57.2% | (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) | |
| 60.4% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) | |
| 36.6% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) | |
| 60.3% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) | |
| 44.0% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) | |
| ✓ | 60.7% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
| ✓ | 60.5% | #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| 55.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) | |
| 18.8% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) | |
| ✓ | 60.6% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
| 60.5% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) | |
| 18.8% | #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) | |
| 18.8% | #s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
Compiled 1 439 to 537 computations (62.7% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) |
(*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z) |
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y) |
(*.f64 (/.f64 (*.f64 (sin.f64 y) x) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 x y) (/.f64 z (sin.f64 y))) |
(/.f64 (*.f64 x (*.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (*.f64 (*.f64 y y) y))) (*.f64 y y))) z) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
6 calls:
| 39.0ms | z |
| 29.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 28.0ms | y |
| 19.0ms | x |
| 18.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | x |
| 97.6% | 1 | y |
| 99.8% | 2 | z |
| 99.5% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 99.4% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 97.6% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) |
(*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
| Outputs |
|---|
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 17.0ms | z |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | z |
| 97.6% | 1 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) |
(*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y)) |
(*.f64 (/.f64 (/.f64 x z) y) (sin.f64 y)) |
| Outputs |
|---|
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) |
2 calls:
| 131.0ms | z |
| 15.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 97.6% | 1 | z |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) |
(*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x) (sin.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (sin.f64 y) x)) |
| Outputs |
|---|
(*.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))) (/.f64 x z)) |
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) |
6 calls:
| 17.0ms | z |
| 15.0ms | (/.f64 (sin.f64 y) y) |
| 15.0ms | y |
| 15.0ms | x |
| 14.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.5% | 1 | x |
| 89.5% | 1 | z |
| 95.4% | 2 | (/.f64 (sin.f64 y) y) |
| 95.4% | 2 | y |
| 89.5% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 91.4% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) |
(*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
| Outputs |
|---|
(*.f64 (/.f64 (sin.f64 y) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
2 calls:
| 15.0ms | y |
| 13.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | y |
| 95.4% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) |
(*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
| Outputs |
|---|
(*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
2 calls:
| 39.0ms | y |
| 16.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | y |
| 95.4% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) (*.f64 (*.f64 y y) #s(literal -1/6 binary64))) y))) z) |
(/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 (/.f64 y x) z)) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) y)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))) z) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) x)) y)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z)) |
(/.f64 #s(approx (* x (/ (sin y) y)) (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)) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 (neg.f64 z) (/.f64 z x)))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (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)) (*.f64 z y)) x) |
(/.f64 (*.f64 #s(approx (sin y) (*.f64 (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)) x) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (sqrt (/ 1 x)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) z) (fma.f64 (*.f64 (/.f64 x z) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) (/.f64 x z))) |
(/.f64 (*.f64 x (/.f64 #s(approx (sin y) (*.f64 (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)) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (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))) z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (neg.f64 z) (*.f64 (neg.f64 x) #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y))))) (*.f64 (neg.f64 z) (*.f64 z y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 z x)))) |
(*.f64 #s(approx (/ (sin y) (* z y)) (fma.f64 (fma.f64 (/.f64 y z) (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) y) (/.f64 #s(literal -1/6 binary64) z)) (*.f64 y y) (/.f64 #s(literal 1 binary64) z))) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 (neg.f64 z) (/.f64 (/.f64 #s(literal -1 binary64) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 (neg.f64 z) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
6 calls:
| 57.0ms | y |
| 32.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 18.0ms | x |
| 16.0ms | z |
| 13.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 1 | z |
| 68.2% | 1 | x |
| 68.2% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 68.2% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 68.2% | 1 | y |
| 68.2% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 (*.f64 x #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))) z) |
(/.f64 (*.f64 (/.f64 x y) #s(approx (sin y) (*.f64 #s(approx (+ (* -1/6 (* y y)) 1) #s(literal 1 binary64)) y))) z) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
(*.f64 (/.f64 #s(approx (sin y) (*.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) y)) (*.f64 z y)) x) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 #s(approx (/ (/ 1 z) (sqrt (/ 1 x))) (/.f64 (sqrt.f64 x) (neg.f64 z))) (sqrt.f64 x))) |
#s(approx (/ (* x (/ (sin y) y)) 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)) |
(*.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))) (/.f64 x z)) |
| Outputs |
|---|
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
6 calls:
| 8.0ms | x |
| 8.0ms | (/.f64 (sin.f64 y) y) |
| 7.0ms | z |
| 7.0ms | y |
| 6.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 68.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 68.0% | 1 | x |
| 68.0% | 1 | z |
| 68.0% | 1 | (/.f64 (sin.f64 y) y) |
| 68.0% | 1 | y |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
| Outputs |
|---|
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
6 calls:
| 11.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 1 | x |
| 68.0% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 68.0% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 68.0% | 1 | z |
| 68.0% | 1 | y |
| 68.0% | 1 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 #s(approx (/ (sin y) z) (/.f64 y z)) (/.f64 x y)) |
| Outputs |
|---|
(*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
6 calls:
| 18.0ms | (/.f64 (sin.f64 y) y) |
| 4.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 3 | x |
| 66.9% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 65.7% | 2 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 64.2% | 2 | z |
| 67.6% | 2 | y |
| 67.6% | 2 | (/.f64 (sin.f64 y) y) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 2 | (/.f64 (sin.f64 y) y) |
| 67.5% | 2 | y |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) 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 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
(*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y))) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (sin.f64 y) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | (/.f64 (sin.f64 y) y) |
| 66.9% | 2 | y |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 #s(literal 1 binary64) (/.f64 z x))) |
| Outputs |
|---|
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) (*.f64 z y)) |
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
6 calls:
| 5.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 x (/.f64 (sin.f64 y) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 1 | x |
| 62.4% | 2 | z |
| 60.7% | 1 | (*.f64 x (/.f64 (sin.f64 y) y)) |
| 62.8% | 2 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| 62.8% | 2 | (/.f64 (sin.f64 y) y) |
| 62.8% | 2 | y |
Compiled 39 to 27 computations (30.8% saved)
Total -27.7b remaining (-110.2%)
Threshold costs -27.7b (-110.2%)
| Inputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
#s(approx (/ (* x (/ (sin y) y)) z) #s(approx (* (/ (/ 1 z) (sqrt (/ 1 x))) (sqrt x)) (/.f64 (neg.f64 x) z))) |
#s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 #s(literal 1 binary64) z) x)) |
| Outputs |
|---|
#s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) |
5 calls:
| 6.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (sin.f64 y) y) |
| 2.0ms | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 1 | x |
| 60.7% | 1 | z |
| 60.7% | 1 | y |
| 60.7% | 1 | (/.f64 (sin.f64 y) y) |
| 60.7% | 1 | (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) |
Compiled 30 to 21 computations (30% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 6.933552193464877e-8 | 7.001986135332384 |
| 1.0ms | 16× | 0 | valid |
Compiled 38 to 29 computations (23.7% saved)
ival-sin: 1.0ms (95.9% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.2264959866197346e+20 | 3.171896514798045e+21 |
| 3.0ms | 48× | 0 | valid |
Compiled 86 to 61 computations (29.1% saved)
ival-div: 1.0ms (45.7% of total)ival-sin: 1.0ms (45.7% 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 | -1.8096213783045779e-90 | -6.190507802431276e-122 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.00197768821989975 | 0.006263218824648883 |
| 1.0ms | 16× | 0 | valid |
Compiled 46 to 33 computations (28.3% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-sin: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9999999999995546 | 0.999999999999979 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9975475355625906 | 0.9999804115098482 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.1473902601100491 | 20.87039891434732 |
| 11.0ms | 112× | 0 | valid |
Compiled 224 to 146 computations (34.8% saved)
ival-sin: 4.0ms (51.2% of total)ival-div: 3.0ms (38.4% of total)ival-mult: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.1473902601100491 | 20.87039891434732 |
Compiled 224 to 146 computations (34.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 9.533792643730182e-23 | 4.170147540580211e-15 |
| 9.0ms | 144× | 0 | valid |
Compiled 221 to 139 computations (37.1% saved)
ival-div: 2.0ms (43.7% of total)ival-sin: 2.0ms (43.7% of total)ival-mult: 1.0ms (21.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3.175007502e-314 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 34× | *-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 385 |
| 1 | 119 | 385 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 z #s(literal 2000000000000000000000 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (*.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))) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007199254737389/9007199254740992 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 4494592428115755/4503599627370496 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z))) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(if (<=.f64 y #s(literal 25/2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)))) |
(if (<=.f64 y #s(literal 25/2 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)))) |
(if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)))) |
(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 944473296573929/9444732965739290427392 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) |
(if (<=.f64 x #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z)) |
(if (<=.f64 z #s(literal 2000000000000000000000 binary64)) (/.f64 x (*.f64 (/.f64 y (sin.f64 y)) z)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 z #s(literal 2000000000000000000000 binary64)) (/.f64 x (*.f64 z (/.f64 y (sin.f64 y)))) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) |
(if (<=.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z) #s(literal -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))) |
(if (<=.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) z) #s(literal -4586997231980143/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y)) (*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))) |
(if (<=.f64 y #s(literal 1152921504606847/576460752303423488 binary64)) (*.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))) (/.f64 x z)) (/.f64 (*.f64 (sin.f64 y) x) (*.f64 z y))) |
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 9007199254737389/9007199254740992 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 4494592428115755/4503599627370496 binary64)) (*.f64 (/.f64 x (*.f64 z y)) (sin.f64 y)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)) (*.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) (/.f64 x z))) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 z (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))) (*.f64 y y) z))) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64)) z) (*.f64 y y) z))) |
(/.f64 x (*.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) z)) |
(/.f64 x #s(approx (* (/ y (sin y)) z) (fma.f64 (*.f64 (*.f64 y y) z) #s(literal 1/6 binary64) z))) |
(if (<=.f64 y #s(literal 25/2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)))) |
(if (<=.f64 y #s(literal 25/2 binary64)) (*.f64 #s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) (/.f64 x z)) (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 z y)))) |
(if (<=.f64 y #s(literal 25/2 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)))) |
(if (<=.f64 y #s(literal 25/2 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) z) x)) (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 z y)))) |
(if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 (/.f64 x (*.f64 z y)) #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)))) |
(if (<=.f64 y #s(literal 2535301200456459/633825300114114700748351602688 binary64)) #s(approx (/ (* x (/ (sin y) y)) z) (/.f64 x z)) (*.f64 #s(approx (sin y) (*.f64 #s(approx (+ (* (* y y) -1/6) 1) #s(literal 1 binary64)) y)) (/.f64 x (*.f64 z y)))) |
(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)) |
| 30 640× | lower-fma.f64 |
| 30 640× | lower-fma.f32 |
| 20 230× | lower-fma.f64 |
| 20 230× | lower-fma.f32 |
| 19 284× | lower-fma.f64 |
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 |
| 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 | 126 | 2806 |
| 1 | 367 | 2799 |
| 2 | 1135 | 2725 |
| 3 | 3841 | 2688 |
| 4 | 7302 | 2688 |
| 0 | 8341 | 2613 |
| 0 | 85 | 2622 |
| 1 | 250 | 2622 |
| 2 | 691 | 2548 |
| 3 | 2071 | 2514 |
| 4 | 3661 | 2512 |
| 5 | 6731 | 2512 |
| 0 | 8108 | 2446 |
| 0 | 80 | 2954 |
| 1 | 235 | 2894 |
| 2 | 667 | 2824 |
| 3 | 1935 | 2790 |
| 4 | 3031 | 2790 |
| 5 | 5060 | 2790 |
| 6 | 5374 | 2790 |
| 7 | 6146 | 2790 |
| 8 | 7806 | 2790 |
| 0 | 8018 | 2733 |
| 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× | node limit |
| 1× | iter limit |
Compiled 847 to 393 computations (53.6% saved)
(negabs z)
(abs y)
Compiled 1 046 to 414 computations (60.4% saved)
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