
Time bar (total: 5.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 495.0ms | 8 256× | 0 | valid |
ival-add: 112.0ms (45.6% of total)ival-mult: 65.0ms (26.4% of total)ival-div: 59.0ms (24% of total)ival-true: 6.0ms (2.4% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 40 | 0 | - | 2 | (4.4116414168153645e-305 2.3088128493159386e-19 -1.4678976492410525e-272) | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 0 | 0 | - | 0 | - | (+.f64 y z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x (+.f64 y z)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x (+.f64 y z)) z) | o/n | 27 | 0 |
| ↳ | (*.f64 x (+.f64 y z)) | overflow | 53 | |
/.f64 | (/.f64 (*.f64 x (+.f64 y z)) z) | u/n | 11 | 0 |
| ↳ | (*.f64 x (+.f64 y z)) | underflow | 11 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 38 | 2 |
| - | 0 | 216 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 38 | 0 | 2 |
| - | 0 | 0 | 216 |
| number | freq |
|---|---|
| 0 | 218 |
| 1 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-div: 13.0ms (63.5% of total)ival-mult: 4.0ms (19.5% of total)ival-add: 3.0ms (14.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 72 |
| 1 | 106 | 66 |
| 2 | 281 | 64 |
| 3 | 934 | 64 |
| 4 | 2669 | 63 |
| 5 | 5010 | 63 |
| 6 | 5760 | 63 |
| 7 | 5861 | 63 |
| 8 | 5957 | 63 |
| 9 | 6086 | 63 |
| 10 | 6221 | 63 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 19 | 7 |
| 2 | 24 | 7 |
| 3 | 25 | 7 |
| 4 | 33 | 7 |
| 5 | 35 | 7 |
| 6 | 39 | 7 |
| 7 | 46 | 7 |
| 8 | 51 | 7 |
| 9 | 160 | 7 |
| 10 | 553 | 7 |
| 11 | 2370 | 7 |
| 12 | 3773 | 7 |
| 13 | 3925 | 7 |
| 14 | 4010 | 7 |
| 15 | 4111 | 7 |
| 16 | 4246 | 7 |
| 17 | 4406 | 7 |
| 18 | 6021 | 7 |
| 19 | 7046 | 7 |
| 0 | 8041 | 6 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(fma.f64 y (/.f64 x z) x) |
(negabs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.5% | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 0 | (*.f64 x (+.f64 y z)) | |
| cost-diff | 128 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 9 | 18 |
| 1 | 19 | 18 |
| 2 | 24 | 18 |
| 3 | 25 | 18 |
| 4 | 33 | 18 |
| 5 | 35 | 18 |
| 6 | 39 | 18 |
| 7 | 46 | 18 |
| 8 | 51 | 18 |
| 9 | 160 | 18 |
| 10 | 553 | 18 |
| 11 | 2370 | 18 |
| 12 | 3773 | 18 |
| 13 | 3925 | 18 |
| 14 | 4010 | 18 |
| 15 | 4111 | 18 |
| 16 | 4246 | 18 |
| 17 | 4406 | 18 |
| 18 | 6021 | 18 |
| 19 | 7046 | 18 |
| 0 | 8041 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(*.f64 x (+.f64 y z)) |
x |
(+.f64 y z) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(fma.f64 y (/.f64 x z) x) |
(*.f64 x (+.f64 y z)) |
(*.f64 (+.f64 y z) x) |
x |
(+.f64 y z) |
y |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y z) | |
| accuracy | 0.01171875 | (*.f64 x (+.f64 y z)) | |
| accuracy | 9.255815405106809 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 43.0ms | 256× | 0 | valid |
Compiled 38 to 14 computations (63.2% saved)
ival-div: 2.0ms (36.2% of total)ival-mult: 2.0ms (36.2% of total)ival-add: 1.0ms (18.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ()) |
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (/ y z))) (taylor inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) (taylor -inf z) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) 1))) (taylor -inf z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ x y) (/ x z))) (taylor inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ z y))) (taylor inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ z y)) 1))) (taylor -inf y) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor 0 x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (+.f64 y z)) z) (patch (/.f64 (*.f64 x (+.f64 y z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 y z)) (patch (*.f64 x (+.f64 y z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | x | @ | -inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | y | @ | -inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | x | @ | inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1.0ms | z | @ | inf | ((/ (* x (+ y z)) z) (* x (+ y z)) (+ y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 456 |
| 1 | 171 | 456 |
| 2 | 482 | 456 |
| 3 | 1334 | 456 |
| 4 | 2618 | 456 |
| 5 | 3113 | 456 |
| 6 | 3468 | 456 |
| 7 | 3906 | 456 |
| 8 | 4096 | 456 |
| 9 | 4139 | 456 |
| 10 | 6034 | 456 |
| 11 | 6810 | 456 |
| 12 | 7034 | 456 |
| 13 | 7432 | 456 |
| 14 | 7444 | 456 |
| 15 | 7453 | 456 |
| 0 | 8121 | 426 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
z |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(* x z) |
(*.f64 z x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
z |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 x z) y x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 x z) y x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 x z) y x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 40 | 15 |
| 2 | 256 | 15 |
| 3 | 2320 | 15 |
| 0 | 8156 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x (+.f64 y z)) z) |
(*.f64 x (+.f64 y z)) |
(+.f64 y z) |
| Outputs |
|---|
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Compiled 8 989 to 1 302 computations (85.5% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 459 | 7 | 466 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 459 | 8 | 467 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.5% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ▶ | 41.0% | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
| ▶ | 46.8% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| 85.4% | (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x))) | |
| 83.0% | (*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y)) | |
| ▶ | 95.5% | (*.f64 (/.f64 (+.f64 z y) z) x) |
| ▶ | 85.5% | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
| ▶ | 95.4% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
Compiled 119 to 108 computations (9.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (+.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 576 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) y x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* x (+ y z)) (*.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* x (+ y z)) (*.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) | |
| cost-diff | 0 | (+.f64 z y) | |
| cost-diff | 0 | (/.f64 (+.f64 z y) z) | |
| cost-diff | 128 | (*.f64 (/.f64 (+.f64 z y) z) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 123 |
| 0 | 37 | 121 |
| 1 | 69 | 121 |
| 2 | 136 | 121 |
| 3 | 371 | 117 |
| 4 | 871 | 117 |
| 5 | 1517 | 117 |
| 6 | 3368 | 117 |
| 7 | 4312 | 117 |
| 8 | 5309 | 117 |
| 9 | 5613 | 117 |
| 10 | 5992 | 117 |
| 11 | 6172 | 117 |
| 12 | 7609 | 117 |
| 0 | 8005 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/.f64 (+.f64 z y) z) |
(+.f64 z y) |
z |
y |
x |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (* x (+ y z)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 x) (+.f64 z y)) |
(neg.f64 x) |
x |
(+.f64 z y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 z y) z) x) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 (+.f64 z y) z) |
(/.f64 (+.f64 y z) z) |
(+.f64 z y) |
(+.f64 y z) |
z |
y |
x |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
#s(approx (* x (+ y z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
z |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 x z)) z) |
#s(approx (* x (+ y z)) (*.f64 z x)) |
#s(approx (* x (+ y z)) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 x z) y x) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 x z) |
x |
z |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (neg.f64 x) (+.f64 z y)) |
(*.f64 (neg.f64 x) (+.f64 y z)) |
(neg.f64 x) |
x |
(+.f64 z y) |
(+.f64 y z) |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (*.f64 (neg.f64 x) (+.f64 z y)) | |
| accuracy | 9.302690405106809 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) | |
| accuracy | 2.9385196607836717 | (fma.f64 (/.f64 x z) y x) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 9.255815405106809 | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) | |
| accuracy | 28.439494311897786 | #s(approx (* x (+ y z)) (*.f64 z x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 9.255815405106809 | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) | |
| accuracy | 31.018927759318576 | #s(approx (* x (+ y z)) (*.f64 y x)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 z y) z) | |
| accuracy | 2.8891166384786158 | (*.f64 (/.f64 (+.f64 z y) z) x) |
| 39.0ms | 256× | 0 | valid |
Compiled 199 to 41 computations (79.4% saved)
ival-mult: 10.0ms (43.9% of total)ival-div: 7.0ms (30.8% of total)ival-add: 4.0ms (17.6% of total)ival-neg: 1.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 z y) z) (patch (/.f64 (+.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 z y) (patch (+.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 z) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<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 y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 z y) z) x) (patch (*.f64 (/.f64 (+.f64 z y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 y x)) (patch #s(approx (* x (+ y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) (patch (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 z x)) (patch #s(approx (* x (+ y z)) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (+.f64 z y)) (patch (*.f64 (neg.f64 x) (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | ((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x)) |
| 2.0ms | x | @ | -inf | ((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x)) |
| 2.0ms | x | @ | inf | ((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x)) |
| 2.0ms | z | @ | -inf | ((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x)) |
| 2.0ms | x | @ | 0 | ((* (/ (+ z y) z) x) (/ (+ z y) z) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y x) (/ (* x (+ y z)) z) (* x (+ y z)) (* z x) (/ (* x (+ y z)) z) (+ (* (/ x z) y) x) (/ x z) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 2346 |
| 1 | 218 | 2346 |
| 2 | 580 | 2346 |
| 3 | 1574 | 2346 |
| 4 | 2999 | 2346 |
| 5 | 4099 | 2346 |
| 6 | 4754 | 2346 |
| 7 | 5535 | 2346 |
| 8 | 6093 | 2346 |
| 9 | 6203 | 2346 |
| 10 | 7397 | 2346 |
| 0 | 8108 | 2166 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ y z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (* -1 (/ (* x y) z)))) |
(* z (+ (* -1 x) (* -1 (/ (* x y) z)))) |
(* z (+ (* -1 x) (* -1 (/ (* x y) z)))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* x z)) |
(* -1 (* z (+ x (/ (* x y) z)))) |
(* -1 (* z (+ x (/ (* x y) z)))) |
(* -1 (* z (+ x (/ (* x y) z)))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* -1 (* x z)) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* -1 (/ (* x z) y)))) |
(* y (+ (* -1 x) (* -1 (/ (* x z) y)))) |
(* y (+ (* -1 x) (* -1 (/ (* x z) y)))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ y z) |
(/.f64 y z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ -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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(+ (* -1 (* x y)) (* -1 (* x z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
z |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(/ -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) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 x) (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 x) (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
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(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 37 | 102 |
| 1 | 134 | 102 |
| 2 | 841 | 102 |
| 0 | 8120 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/.f64 (+.f64 z y) z) |
(+.f64 z y) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (* x (+ y z)) (*.f64 z x)) |
(*.f64 z x) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 x) (+.f64 z y)) |
(neg.f64 x) |
| Outputs |
|---|
#<batchref> |
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Compiled 21 611 to 2 259 computations (89.5% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 459 | 6 | 1 465 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 463 | 10 | 1 473 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.4% | (/.f64 (+.f64 y z) (/.f64 z x)) |
| ✓ | 85.5% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ✓ | 46.8% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| 46.8% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) | |
| ✓ | 95.5% | (*.f64 (/.f64 (+.f64 z y) z) x) |
| ▶ | 46.8% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) |
| ▶ | 44.3% | (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
| ▶ | 52.6% | (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
| ▶ | 95.5% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ✓ | 95.4% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
Compiled 109 to 106 computations (2.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (+.f64 y z) | |
| cost-diff | 512 | (/.f64 (+.f64 y z) (/.f64 z x)) | |
| cost-diff | 0 | #s(approx (* x (+ y z)) (*.f64 x y)) | |
| cost-diff | 0 | (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (+ z y) z) (/.f64 y z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) | |
| cost-diff | 0 | #s(approx (/ (+ z y) z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) x x) | |
| cost-diff | 0 | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 129 |
| 0 | 37 | 128 |
| 1 | 66 | 127 |
| 2 | 90 | 125 |
| 3 | 127 | 125 |
| 4 | 198 | 125 |
| 5 | 297 | 125 |
| 6 | 557 | 124 |
| 7 | 1519 | 124 |
| 8 | 3009 | 124 |
| 9 | 4066 | 124 |
| 10 | 4753 | 124 |
| 11 | 5156 | 124 |
| 12 | 5202 | 124 |
| 13 | 5216 | 124 |
| 14 | 6757 | 124 |
| 0 | 8374 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
y |
z |
x |
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
#s(approx (/ (+ z y) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
#s(approx (/ (+ z y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) |
#s(approx (* x (+ y z)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(+.f64 y z) |
y |
z |
(/.f64 z x) |
x |
| Outputs |
|---|
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 x (/.f64 y z) x)) |
(fma.f64 (/.f64 y z) x x) |
(fma.f64 x (/.f64 y z) x) |
(/.f64 y z) |
y |
z |
x |
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
#s(approx (/ (+ z y) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
#s(approx (/ (+ z y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 x y)) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) |
#s(approx (* x (+ y z)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(fma.f64 x (/.f64 y z) x) |
(+.f64 y z) |
(+.f64 z y) |
y |
z |
(/.f64 z x) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0 | (+.f64 y z) | |
| accuracy | 10.598414214881524 | (/.f64 (+.f64 y z) (/.f64 z x)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) | |
| accuracy | 9.302690405106809 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) | |
| accuracy | 31.018927759318576 | #s(approx (* x (+ y z)) (*.f64 x y)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 2.8891166384786158 | (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) | |
| accuracy | 33.103270076085764 | #s(approx (/ (+ z y) z) (/.f64 y z)) | |
| accuracy | 2.8891166384786158 | (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) | |
| accuracy | 30.524755114431603 | #s(approx (/ (+ z y) z) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) | |
| accuracy | 2.895307898247058 | (fma.f64 (/.f64 y z) x x) |
| 45.0ms | 256× | 0 | valid |
Compiled 188 to 42 computations (77.7% saved)
ival-div: 15.0ms (51.9% of total)ival-mult: 8.0ms (27.7% of total)ival-add: 4.0ms (13.8% of total)ival-neg: 1.0ms (3.5% 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 #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (+ z y) z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ z y) z) (/.f64 y z)) (patch #s(approx (/ (+ z y) z) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (+ z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (+ z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (+ z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (+ z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) (/.f64 y z)) (patch #s(approx (/ (+ z y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) (/.f64 y z)) (patch #s(approx (/ (+ z y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) (/.f64 y z)) (patch #s(approx (/ (+ z y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y z) z) (taylor 0 z) (#s(alt #s(approx (/ (+ z y) z) (/.f64 y z)) (patch #s(approx (/ (+ z y) z) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* x z)) (* x y)) (taylor 0 z) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ y z) (taylor 0 z) (#s(alt (+.f64 y z) (patch (+.f64 y z) #<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>) () ())) ()) |
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#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (patch (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) (patch (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 (+.f64 y z) (/.f64 z x)) (patch (/.f64 (+.f64 y z) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* 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 | |
|---|---|---|---|---|
| 4.0ms | z | @ | -inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y)) |
| 4.0ms | y | @ | -inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y)) |
| 2.0ms | x | @ | -inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y)) |
| 1.0ms | x | @ | inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y)) |
| 1.0ms | z | @ | inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ (+ z y) z) x) (/ (+ z y) z) (* (/ -1 z) (neg (* x (+ y z)))) (/ -1 z) (neg (* x (+ y z))) (* x (+ y z)) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 2316 |
| 1 | 245 | 2256 |
| 2 | 621 | 2256 |
| 3 | 1695 | 2256 |
| 4 | 3368 | 2256 |
| 5 | 4625 | 2256 |
| 6 | 5429 | 2256 |
| 7 | 5954 | 2256 |
| 8 | 6156 | 2256 |
| 9 | 6292 | 2256 |
| 10 | 7898 | 2256 |
| 0 | 8052 | 2076 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ y z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ y z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* x y)) |
(- (* -1 (* x z)) (* x y)) |
(- (* -1 (* x z)) (* x y)) |
(- (* -1 (* x z)) (* x y)) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
y |
(+ y z) |
(+ y z) |
(+ y z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* x z)) |
(* z (- (* -1 (/ (* x y) z)) x)) |
(* z (- (* -1 (/ (* x y) z)) x)) |
(* z (- (* -1 (/ (* x y) z)) x)) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
z |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(* z (+ 1 (/ y z))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* x z)) |
(* -1 (* z (- (/ (* x y) z) (* -1 x)))) |
(* -1 (* z (- (/ (* x y) z) (* -1 x)))) |
(* -1 (* z (- (/ (* x y) z) (* -1 x)))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(* -1 (* x z)) |
(- (* -1 (* x y)) (* x z)) |
(- (* -1 (* x y)) (* x z)) |
(- (* -1 (* x y)) (* x z)) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* -1 (* x y)) |
(* y (- (* -1 (/ (* x z) y)) x)) |
(* y (- (* -1 (/ (* x z) y)) x)) |
(* y (- (* -1 (/ (* x z) y)) x)) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
y |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* y (+ 1 (/ z y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* x y)) |
(* -1 (* y (- (/ (* x z) y) (* -1 x)))) |
(* -1 (* y (- (/ (* x z) y) (* -1 x)))) |
(* -1 (* y (- (/ (* x z) y) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* -1 (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 z y) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ -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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(- (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(- (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(- (* -1 (* x z)) (* x y)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (+ (* x y) (* x z)) z) |
(fma.f64 (/.f64 y z) x x) |
y |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ -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) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (- (* -1 (/ (* x y) z)) x)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* z (- (* -1 (/ (* x y) z)) x)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* z (- (* -1 (/ (* x y) z)) x)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
z |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(* z (+ 1 (/ y z))) |
(+.f64 z y) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ -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) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (- (/ (* x y) z) (* -1 x)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* z (- (/ (* x y) z) (* -1 x)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* z (- (/ (* x y) z) (* -1 x)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
z |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(* -1 (* z (- (* -1 (/ y z)) 1))) |
(+.f64 z y) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
(+ 1 (/ y z)) |
(/.f64 (+.f64 z y) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(- (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(- (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(- (* -1 (* x y)) (* x z)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x z) |
(*.f64 z x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
z |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(+ y z) |
(+.f64 z y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (* -1 (/ (* x z) y)) x)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* y (- (* -1 (/ (* x z) y)) x)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* y (- (* -1 (/ (* x z) y)) x)) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/.f64 (+.f64 z y) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* y (- (/ (* x z) y) (* -1 x)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* y (- (/ (* x z) y) (* -1 x)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* y (- (/ (* x z) y) (* -1 x)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(+.f64 z y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ y z))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ (* x (+ y z)) z) |
(fma.f64 (/.f64 y z) x x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 111 |
| 0 | 37 | 111 |
| 1 | 137 | 110 |
| 2 | 825 | 108 |
| 3 | 7754 | 108 |
| 0 | 8182 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
#s(approx (/ (+ z y) z) #s(literal 1 binary64)) |
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
#s(approx (/ (+ z y) z) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 #s(approx (* x (+ y z)) (*.f64 x y))) |
#s(approx (* x (+ y z)) (*.f64 x y)) |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(+.f64 y z) |
(/.f64 z x) |
(*.f64 x y) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 14 255 to 1 609 computations (88.7% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 076 | 0 | 1 076 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 076 | 10 | 1 086 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.4% | (/.f64 (+.f64 y z) (/.f64 z x)) |
| ✓ | 85.5% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ✓ | 46.8% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ▶ | 46.8% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) |
| ✓ | 95.5% | (*.f64 (/.f64 (+.f64 z y) z) x) |
| ✓ | 46.8% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) |
| ✓ | 44.3% | (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
| ✓ | 52.6% | (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
| ✓ | 95.5% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ✓ | 95.4% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
Compiled 68 to 65 computations (4.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (* x (+ y z)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 0 | 13 | 40 |
| 1 | 25 | 40 |
| 2 | 30 | 38 |
| 3 | 34 | 38 |
| 4 | 44 | 38 |
| 5 | 44 | 38 |
| 6 | 45 | 38 |
| 7 | 47 | 38 |
| 8 | 47 | 38 |
| 9 | 49 | 38 |
| 10 | 53 | 38 |
| 11 | 53 | 38 |
| 0 | 53 | 38 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) |
z |
#s(approx (* x (+ y z)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(literal 1 binary64) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 y x))) |
z |
#s(approx (* x (+ y z)) (*.f64 x y)) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) | |
| accuracy | 9.563996116419755 | (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) | |
| accuracy | 31.018927759318576 | #s(approx (* x (+ y z)) (*.f64 x y)) |
| 18.0ms | 256× | 0 | valid |
Compiled 55 to 19 computations (65.5% saved)
ival-mult: 4.0ms (39.1% of total)ival-div: 3.0ms (29.3% of total)ival-add: 2.0ms (19.6% 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 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x y)) (taylor 0 z) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
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#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 z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x (+ y z))) (taylor -inf x) (#s(alt (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) (patch (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ y z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y z)) (taylor -inf x) (#s(alt #s(approx (* x (+ y z)) (*.f64 x y)) (patch #s(approx (* x (+ 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 | |
|---|---|---|---|---|
| 2.0ms | z | @ | 0 | ((/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* x y)) |
| 1.0ms | x | @ | -inf | ((/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* x y)) |
| 1.0ms | y | @ | inf | ((/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* x y)) |
| 1.0ms | x | @ | 0 | ((/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* x y)) |
| 1.0ms | y | @ | -inf | ((/ 1 (/ z (* x (+ y z)))) (/ z (* x (+ y z))) (* x (+ y z)) (* x y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 981 |
| 1 | 494 | 960 |
| 2 | 1446 | 909 |
| 3 | 4661 | 907 |
| 0 | 8398 | 886 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ z (* x y)) |
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) |
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))) |
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x)) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x)) |
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x)) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ z (* x y)) |
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y) |
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y) |
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ z (* x y)) |
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y)) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(/ z (* x (+ y z))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(* z (+ (* -1 (/ z (* x (pow y 2)))) (/ 1 (* x y)))) |
(/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y)) |
(* z (+ (* z (- (/ z (* x (pow y 3))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(fma.f64 z (*.f64 (/.f64 z (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) z) (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (* x (pow y 4)))) (/ 1 (* x (pow y 3))))) (/ 1 (* x (pow y 2))))) (/ 1 (* x y)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 z (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) z (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x))) z (/.f64 #s(literal 1 binary64) (*.f64 y x))) z) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 z x))) |
(- (+ (/ 1 x) (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z))) |
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -1 (/ (pow y 3) (* x (pow z 3)))) (/ 1 x)) (+ (* -1 (/ (pow y 2) (* x (pow z 2)))) (/ y (* x z)))) |
(-.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 z x))) |
(+ (* -1 (/ (- (* -1 (/ (pow y 2) (* x z))) (* -1 (/ y x))) z)) (/ 1 x)) |
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) (* x z))) (* -1 (/ (pow y 2) x))) z)) (* -1 (/ y x))) z)) (/ 1 x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)) |
(* x z) |
(*.f64 z x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(*.f64 (+.f64 z y) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (*.f64 z x))) |
(+ (* y (- (/ y (* x (pow z 2))) (/ 1 (* x z)))) (/ 1 x)) |
(+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) |
(+ (* y (- (* y (+ (* -1 (/ y (* x (pow z 3)))) (/ 1 (* x (pow z 2))))) (/ 1 (* x z)))) (/ 1 x)) |
(-.f64 (+.f64 (/.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) z) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x)) |
(* x z) |
(*.f64 z x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(* y (+ (/ x y) (/ x z))) |
(fma.f64 (/.f64 y z) x x) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(/ (+ (* -1 (/ (pow z 2) (* x y))) (/ z x)) y) |
(/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y)) |
(/ (- (+ (/ z x) (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y))) y) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (/.f64 z x)) y) |
(/ (- (+ (* -1 (/ (pow z 4) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (pow z 3) (* x (pow y 2)))) (/ (pow z 2) (* x y)))) y) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* y (+ x (/ (* x z) y))) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 y z) x x) |
(/ z (* x y)) |
(/.f64 z (*.f64 y x)) |
(* -1 (/ (+ (* -1 (/ z x)) (/ (pow z 2) (* x y))) y)) |
(/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (pow z 3) (* x y)) (/ (pow z 2) x)) y))) y)) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (/.f64 z x)) y) |
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) (* x y)) (/ (pow z 3) x)) y)) (/ (pow z 2) x)) y))) y)) |
(/.f64 (fma.f64 z (/.f64 (*.f64 (/.f64 z x) (+.f64 #s(literal -1 binary64) (/.f64 z y))) y) (-.f64 (/.f64 z x) (/.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) x) (pow.f64 y #s(literal 3 binary64))))) y) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ (* x (+ y z)) z) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(/ z (* x (+ y z))) |
(/.f64 (/.f64 z (+.f64 z y)) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x (+ y z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 13 | 36 |
| 1 | 53 | 34 |
| 2 | 277 | 34 |
| 3 | 2002 | 34 |
| 0 | 8458 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) |
(/.f64 z #s(approx (* x (+ y z)) (*.f64 x y))) |
#s(approx (* x (+ y z)) (*.f64 x y)) |
(*.f64 x y) |
| Outputs |
|---|
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Compiled 3 308 to 482 computations (85.4% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 0 | 260 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 260 | 10 | 270 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.4% | (/.f64 (+.f64 y z) (/.f64 z x)) |
| ✓ | 85.5% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| ✓ | 46.8% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ✓ | 46.8% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) |
| ✓ | 95.5% | (*.f64 (/.f64 (+.f64 z y) z) x) |
| ✓ | 46.8% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) |
| ✓ | 44.3% | (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
| ✓ | 52.6% | (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
| ✓ | 95.5% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ✓ | 95.4% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
Compiled 172 to 110 computations (36% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
(*.f64 (/.f64 (+.f64 z y) z) x) |
(/.f64 (*.f64 x (+.f64 y z)) z) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (* x (+ y z)) (*.f64 x y)))) |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ y z)) (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 z y) x))) |
(*.f64 (pow.f64 (/.f64 (/.f64 z x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 z y)) |
| Outputs |
|---|
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
4 calls:
| 6.0ms | y |
| 5.0ms | z |
| 5.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | x |
| 95.5% | 1 | y |
| 97.3% | 2 | z |
| 97.7% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
| Outputs |
|---|
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
4 calls:
| 5.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | y |
| 95.4% | 1 | z |
| 95.4% | 1 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 95.4% | 1 | x |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) |
| Outputs |
|---|
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
4 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.8% | 2 | x |
| 77.1% | 3 | y |
| 74.8% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 75.9% | 3 | z |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) |
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
3 calls:
| 2.0ms | z |
| 2.0ms | y |
| 1.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 3 | z |
| 72.9% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 72.7% | 3 | y |
Compiled 9 to 12 computations (-33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
4 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | x |
| 52.6% | 1 | y |
| 52.6% | 1 | z |
| 52.6% | 1 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.589649818662902e+76 | 1.4820621197552571e+81 |
| 5.0ms | 112× | 0 | valid |
Compiled 108 to 110 computations (-1.9% saved)
ival-div: 1.0ms (44.2% of total)ival-add: 1.0ms (44.2% of total)ival-mult: 1.0ms (44.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.570121021587888e-9 | 10.826521978409888 |
| 13.0ms | -2676845560.7146063 | -0.00013337283178967737 |
| 13.0ms | 304× | 0 | valid |
Compiled 200 to 278 computations (-39% saved)
ival-div: 2.0ms (32% of total)ival-add: 2.0ms (32% of total)ival-mult: 2.0ms (32% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4893144292690954e-168 | 0.0 |
Compiled 10 to 12 computations (-20% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 124 |
| 1 | 45 | 124 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
(if (<=.f64 y #s(literal -2050000000 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 6139076427730539/4722366482869645213696 binary64)) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 299999999999999981979279463591835365907546195412746872484301410391090779914240 binary64)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
(if (<=.f64 y #s(literal -2050000000 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 6139076427730539/4722366482869645213696 binary64)) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z))) |
(if (<=.f64 (/.f64 (*.f64 x (+.f64 y z)) z) #s(literal -4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)) |
(if (<=.f64 (/.f64 (*.f64 (+.f64 y z) x) z) #s(literal -4249103942534137/4249103942534136789516705652419749018636744941816255385595553105603228478886817941913300018121834285351114635889972008122772634701221657915276159830132698815550650166683145752253825024 binary64)) (*.f64 #s(approx (/ (+ z y) z) (/.f64 y z)) x) (*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (/ (+ z y) z) #s(literal 1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 105 |
| 0 | 37 | 102 |
| 1 | 134 | 102 |
| 2 | 841 | 102 |
| 0 | 8120 | 102 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 40 | 15 |
| 2 | 256 | 15 |
| 3 | 2320 | 15 |
| 0 | 8156 | 15 |
| 0 | 50 | 456 |
| 1 | 171 | 456 |
| 2 | 482 | 456 |
| 3 | 1334 | 456 |
| 4 | 2618 | 456 |
| 5 | 3113 | 456 |
| 6 | 3468 | 456 |
| 7 | 3906 | 456 |
| 8 | 4096 | 456 |
| 9 | 4139 | 456 |
| 10 | 6034 | 456 |
| 11 | 6810 | 456 |
| 12 | 7034 | 456 |
| 13 | 7432 | 456 |
| 14 | 7444 | 456 |
| 15 | 7453 | 456 |
| 0 | 8121 | 426 |
| 0 | 65 | 2346 |
| 1 | 218 | 2346 |
| 2 | 580 | 2346 |
| 3 | 1574 | 2346 |
| 4 | 2999 | 2346 |
| 5 | 4099 | 2346 |
| 6 | 4754 | 2346 |
| 7 | 5535 | 2346 |
| 8 | 6093 | 2346 |
| 9 | 6203 | 2346 |
| 10 | 7397 | 2346 |
| 0 | 8108 | 2166 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 201 to 122 computations (39.3% saved)
(negabs x)
Compiled 210 to 112 computations (46.7% saved)
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