
Time bar (total: 5.3s)
| 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)
| 807.0ms | 8 256× | 0 | valid |
ival-mult: 347.0ms (62.1% of total)ival-div: 121.0ms (21.6% of total)ival-add: 81.0ms (14.5% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 39 | 0 | - | 3 | (-3.6330467091010703e-109 3.600880627317244e-237 3.063708768787451e-211) | (/.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 | 29 | 0 |
| ↳ | (*.f64 x (+.f64 y z)) | overflow | 52 | |
/.f64 | (/.f64 (*.f64 x (+.f64 y z)) z) | u/n | 7 | 0 |
| ↳ | (*.f64 x (+.f64 y z)) | underflow | 7 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 3 |
| - | 0 | 217 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 3 |
| - | 0 | 0 | 217 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 36 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-add: 11.0ms (57.9% of total)ival-mult: 4.0ms (21.1% of total)ival-div: 3.0ms (15.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 |
|---|---|---|
| ▶ | 86.4% | (/.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 | 8.707163427995555 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 20.0ms | 256× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-add: 3.0ms (42.2% of total)ival-div: 2.0ms (28.2% of total)ival-mult: 2.0ms (28.2% 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 | 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)) |
| 1.0ms | x | @ | 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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 458 | 8 | 466 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 458 | 9 | 467 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.0% | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) |
| 43.3% | (/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x) (*.f64 (-.f64 z y) z)) | |
| ✓ | 86.4% | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 42.9% | (/.f64 #s(approx (* x (+ y z)) (*.f64 z x)) z) | |
| ▶ | 46.5% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ▶ | 97.3% | (/.f64 x (/.f64 z (+.f64 z y))) |
| 97.3% | (*.f64 (/.f64 (+.f64 z y) z) x) | |
| ▶ | 86.2% | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
| ▶ | 94.8% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
Compiled 153 to 122 computations (20.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) z (*.f64 y y)) | |
| cost-diff | 128 | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) | |
| cost-diff | 1536 | (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) | |
| 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 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 z (+.f64 z y)) | |
| cost-diff | 512 | (/.f64 x (/.f64 z (+.f64 z y))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 149 |
| 0 | 47 | 139 |
| 1 | 92 | 139 |
| 2 | 205 | 139 |
| 3 | 508 | 134 |
| 4 | 1323 | 126 |
| 5 | 2795 | 126 |
| 6 | 6457 | 126 |
| 0 | 8277 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
x |
(/.f64 z (+.f64 z y)) |
z |
(+.f64 z y) |
y |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
z |
#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 |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(neg.f64 z) |
z |
(*.f64 y y) |
y |
(/.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
| Outputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
(fma.f64 (/.f64 y z) x x) |
x |
(/.f64 z (+.f64 z y)) |
(/.f64 z (+.f64 y z)) |
z |
(+.f64 z y) |
(+.f64 y z) |
y |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
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)) |
(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 (-.f64 (neg.f64 z) y) x) |
(neg.f64 x) |
x |
(+.f64 z y) |
(+.f64 y z) |
y |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) |
(fma.f64 (/.f64 y z) x x) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) |
(*.f64 (+.f64 y z) x) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(neg.f64 z) |
z |
(*.f64 y y) |
y |
(/.f64 x (-.f64 y z)) |
x |
(-.f64 y z) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 x (-.f64 y z)) | |
| accuracy | 0.5039007452111204 | (fma.f64 (neg.f64 z) z (*.f64 y y)) | |
| accuracy | 8.707163427995555 | (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) | |
| accuracy | 25.767962968779322 | (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.01171875 | (*.f64 (neg.f64 x) (+.f64 z y)) | |
| accuracy | 8.851772410641837 | (*.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 | 3.3464717498551373 | (fma.f64 (/.f64 x z) y x) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 8.707163427995555 | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) | |
| accuracy | 31.39117929143328 | #s(approx (* x (+ y z)) (*.f64 y x)) | |
| accuracy | 0 | (/.f64 z (+.f64 z y)) | |
| accuracy | 0 | (+.f64 z y) | |
| accuracy | 1.7298635448286033 | (/.f64 x (/.f64 z (+.f64 z y))) |
| 69.0ms | 256× | 0 | valid |
Compiled 140 to 28 computations (80% saved)
ival-mult: 32.0ms (60.1% of total)ival-div: 11.0ms (20.6% of total)ival-add: 6.0ms (11.3% of total)ival-neg: 2.0ms (3.8% of total)ival-sub: 1.0ms (1.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<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 #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>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) z (*.f64 y y)) (patch (fma.f64 (neg.f64 z) z (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 y z)) (patch (/.f64 x (-.f64 y z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x y) (* x z)) z) (taylor 0 z) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) (taylor 0 z) (#s(alt (/.f64 z (+.f64 z y)) (patch (/.f64 z (+.f64 z y)) #<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 #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 y) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
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#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 (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.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 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x (/.f64 z (+.f64 z y))) (patch (/.f64 x (/.f64 z (+.f64 z y))) #<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 #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>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) (patch (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.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 | |
|---|---|---|---|---|
| 24.0ms | z | @ | inf | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y 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) (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) (/ (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) z) (+ (* (neg z) z) (* y y)) (neg z) (/ x (- y z))) |
| 12.0ms | z | @ | 0 | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y 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) (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) (/ (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) z) (+ (* (neg z) z) (* y y)) (neg z) (/ x (- y z))) |
| 5.0ms | y | @ | 0 | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y 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) (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) (/ (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) z) (+ (* (neg z) z) (* y y)) (neg z) (/ x (- y z))) |
| 4.0ms | x | @ | -inf | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y 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) (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) (/ (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) z) (+ (* (neg z) z) (* y y)) (neg z) (/ x (- y z))) |
| 4.0ms | y | @ | inf | ((/ x (/ z (+ z y))) (/ z (+ z y)) (+ z y) (/ (* x (+ y z)) z) (* x (+ y z)) (* y 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) (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) (/ (* (+ (* (neg z) z) (* y y)) (/ x (- y z))) z) (+ (* (neg z) z) (* y y)) (neg z) (/ x (- y z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 281 | 3677 |
| 1 | 873 | 3579 |
| 2 | 2396 | 3491 |
| 3 | 7307 | 3488 |
| 0 | 8565 | 3346 |
| 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 y) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
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) 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 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) |
(pow y 2) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ x y) |
(+ (/ x y) (/ (* x z) (pow y 2))) |
(+ (* z (- (/ (* x z) (pow y 3)) (* -1 (/ x (pow y 2))))) (/ x y)) |
(+ (* z (- (* z (- (/ (* x z) (pow y 4)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))) (/ x y)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ 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 |
(+ 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 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 (pow z 2)) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ x z)) |
(/ (+ (* -1 x) (* -1 (/ (* x y) z))) z) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 2)) (pow z 2)))) (/ (* x y) z)) z) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow y 3)) (pow z 3)))) (+ (/ (* x y) z) (/ (* x (pow y 2)) (pow z 2)))) z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) 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 |
(+ 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 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 (pow z 2)) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ x z)) |
(* -1 (/ (+ x (/ (* x y) z)) z)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) z)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 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 |
(+ 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 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)) |
(* -1 (pow z 2)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(+ (* -1 (pow z 2)) (pow y 2)) |
(* -1 (/ x z)) |
(+ (* -1 (/ x z)) (* -1 (/ (* x y) (pow z 2)))) |
(+ (* -1 (/ x z)) (* y (- (* -1 (/ (* x y) (pow z 3))) (/ x (pow z 2))))) |
(+ (* -1 (/ x z)) (* y (- (* y (- (* -1 (/ (* x y) (pow z 4))) (/ x (pow z 3)))) (/ x (pow z 2))))) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
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) 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) |
(* 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))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(/ x y) |
(/ (+ x (/ (* x z) y)) y) |
(/ (- (+ x (/ (* x (pow z 2)) (pow y 2))) (* -1 (/ (* x z) y))) y) |
(/ (- (+ x (/ (* x (pow z 3)) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* x (pow z 2)) (pow y 2))))) 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 y) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
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) 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) |
(* -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))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (pow z 2) (pow y 2))))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x z) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (* x (pow z 3)) y))) y)) (* x z)) y))) 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 (+ 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 (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- 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) |
(/ (* 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 (+ 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 (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- 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) |
(/ (* 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) |
(* -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) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y 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) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ z y) |
(/.f64 z y) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(/.f64 (fma.f64 (neg.f64 z) (/.f64 z y) z) y) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(+.f64 (fma.f64 (/.f64 (neg.f64 z) y) (/.f64 z y) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (/.f64 z y)) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 (/.f64 #s(literal -1 binary64) y) y)) z (/.f64 #s(literal 1 binary64) 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) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z 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 y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ 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) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ (+ (* x y) (* x z)) z) |
(/.f64 (*.f64 (+.f64 z y) x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
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(neg.f64 x) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(*.f64 (/.f64 x (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(*.f64 (/.f64 x (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(*.f64 (/.f64 x (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (- y z)) |
(*.f64 (/.f64 x (-.f64 y z)) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y z)) z) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y z)) z) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y z)) z) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ (* x (+ (* -1 (pow z 2)) (pow y 2))) (* z (- y z))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y z)) z) (*.f64 (+.f64 z y) (-.f64 y z))) |
(/ x (- y z)) |
(/.f64 x (-.f64 y z)) |
(/ x (- y z)) |
(/.f64 x (-.f64 y z)) |
(/ x (- y z)) |
(/.f64 x (-.f64 y z)) |
(/ x (- y z)) |
(/.f64 x (-.f64 y z)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 124 |
| 0 | 47 | 113 |
| 1 | 186 | 105 |
| 2 | 1382 | 105 |
| 0 | 8575 | 105 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
(/.f64 z (+.f64 z y)) |
(+.f64 z y) |
(/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
#s(approx (* x (+ y z)) (*.f64 y x)) |
(*.f64 y 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) |
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) |
(fma.f64 (neg.f64 z) z (*.f64 y y)) |
(neg.f64 z) |
(/.f64 x (-.f64 y z)) |
| Outputs |
|---|
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Compiled 35 998 to 3 112 computations (91.4% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 987 | 5 | 1 992 |
| Fresh | 3 | 0 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 994 | 7 | 2 001 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.9% | (/.f64 (+.f64 y z) (/.f64 z x)) |
| ✓ | 46.5% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ▶ | 46.1% | (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
| ▶ | 53.8% | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| ▶ | 46.4% | (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) |
| ▶ | 97.3% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ✓ | 94.8% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
Compiled 79 to 78 computations (1.3% 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 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ z (+ z y)) (/.f64 z y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) | |
| cost-diff | 0 | #s(approx (/ z (+ z y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) | |
| 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 | 28 | 125 |
| 0 | 41 | 124 |
| 1 | 79 | 123 |
| 2 | 120 | 123 |
| 3 | 180 | 123 |
| 4 | 247 | 123 |
| 5 | 390 | 123 |
| 6 | 972 | 122 |
| 7 | 2800 | 122 |
| 8 | 3857 | 122 |
| 9 | 4571 | 122 |
| 10 | 5056 | 122 |
| 11 | 5166 | 122 |
| 12 | 5204 | 122 |
| 13 | 6491 | 122 |
| 14 | 7254 | 122 |
| 0 | 8324 | 122 |
| 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 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
x |
#s(approx (/ z (+ z y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
x |
#s(approx (/ z (+ z y)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.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 (/.f64 x z) y x)) |
(fma.f64 (/.f64 y z) x x) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 y z) |
y |
z |
x |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
x |
#s(approx (/ z (+ z y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
x |
#s(approx (/ z (+ z y)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) |
(/.f64 #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
y |
x |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(fma.f64 (/.f64 x z) y 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 | 12.2038310721945 | (/.f64 (+.f64 y z) (/.f64 z x)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 8.851772410641837 | (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 31.39117929143328 | #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 1.7298635448286033 | (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) | |
| accuracy | 33.3642960960252 | #s(approx (/ z (+ z y)) (/.f64 z y)) | |
| accuracy | 1.7298635448286033 | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) | |
| accuracy | 29.440098208527434 | #s(approx (/ z (+ z y)) #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 | 1.7337697948286033 | (fma.f64 (/.f64 y z) x x) |
| 57.0ms | 256× | 0 | valid |
Compiled 99 to 25 computations (74.7% saved)
ival-mult: 24.0ms (56.6% of total)ival-div: 12.0ms (28.3% of total)ival-add: 4.0ms (9.4% of total)ival-neg: 2.0ms (4.7% 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 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (patch (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (+ z y)) #s(literal 1 binary64)) (patch #s(approx (/ z (+ z y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ z (+ z y)) (/.f64 z y)) (patch #s(approx (/ z (+ z y)) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<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 (neg.f64 y) (patch (neg.f64 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>) () ())) ()) |
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#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (patch (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (patch (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (patch (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) (patch (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y z)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y z))) (taylor -inf x) (#s(alt #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) 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 (/ (* 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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (* (neg y) x) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (neg y)) |
| 2.0ms | z | @ | inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (* (neg y) x) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (neg y)) |
| 2.0ms | z | @ | 0 | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (* (neg y) x) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (neg y)) |
| 2.0ms | x | @ | -inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (* (neg y) x) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (neg y)) |
| 2.0ms | y | @ | -inf | ((/ (* x (+ y z)) z) (+ (* (/ y z) x) x) (/ y z) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ x (/ z (+ z y))) (/ z (+ z y)) (/ z y) (* (/ -1 z) (* (neg x) (+ z y))) (/ -1 z) (* (neg x) (+ z y)) (* (neg y) x) (/ (+ y z) (/ z x)) (+ y z) (/ z x) (neg y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 2622 |
| 1 | 511 | 2580 |
| 2 | 1293 | 2520 |
| 3 | 4786 | 2516 |
| 0 | 8291 | 2310 |
| 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) |
(/ z y) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ z y) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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 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 (* -1 (/ y z))) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
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)) |
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 (* -1 (/ y z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
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)) |
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 (* -1 (/ y z))) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
z |
(+ y z) |
(+ y z) |
(+ y z) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 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))) |
(/ z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* 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)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x 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))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 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))))) |
(/ z y) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) 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 y) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ 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))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* 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))))) |
y |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 (* y (- (* -1 (/ z y)) 1))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ (* 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 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ (* 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 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))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ (* x (+ y z)) z) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
| 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) |
(/ z y) |
(/.f64 z y) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) z (/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) 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) |
(/ z y) |
(/.f64 z y) |
(* z (+ (* -1 (/ z (pow y 2))) (/ 1 y))) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* z (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))) |
(fma.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) z) z (/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y)) |
(* z (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal 1 binary64) y)) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* 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 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 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 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
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) (* -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 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 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) (* -1 y)) z))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (* -1 (pow y 2))) z)) (* -1 y)) z))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
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 (/ (* x y) z)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* z (+ x (/ (* x y) z)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* z (+ x (/ (* x y) z)))) |
(*.f64 (-.f64 (neg.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 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* y (- (/ y (pow z 2)) (/ 1 z)))) |
(fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z)))) |
(neg.f64 (fma.f64 (/.f64 y z) (fma.f64 (/.f64 y z) (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
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)) (* -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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 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) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* 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) |
(/ z y) |
(/.f64 z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
(/ (* 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 y) |
(/.f64 z y) |
(/ (+ z (* -1 (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(/ (- (+ z (/ (pow z 3) (pow y 2))) (/ (pow z 2) y)) y) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(/ (- (+ z (* -1 (/ (pow z 4) (pow y 3)))) (+ (* -1 (/ (pow z 3) (pow y 2))) (/ (pow z 2) y))) y) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* 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) (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* y (+ (* -1 x) (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* y (+ (* -1 x) (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.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) |
y |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* y (+ 1 (/ z y))) |
(+.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* 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) |
(/ z y) |
(/.f64 z y) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
(/ (* 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 y) |
(/.f64 z y) |
(* -1 (/ (+ (* -1 z) (/ (pow z 2) y)) y)) |
(/.f64 (-.f64 z (*.f64 (/.f64 z y) z)) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y))) y)) |
(/.f64 (fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) z (neg.f64 z)) z) y) |
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (pow z 3)) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 z (/.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 (pow.f64 z #s(literal 4 binary64)) y) (pow.f64 z #s(literal 3 binary64))) y)) y)) y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ (* 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 (/ (* x z) y)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* y (+ x (/ (* x z) y)))) |
(*.f64 (-.f64 (neg.f64 z) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.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) |
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) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* 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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.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) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z 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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.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) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z 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) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x y)) |
(*.f64 (neg.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) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 110 |
| 0 | 41 | 110 |
| 1 | 164 | 109 |
| 2 | 987 | 109 |
| 0 | 8436 | 109 |
| 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 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
#s(approx (/ z (+ z y)) #s(literal 1 binary64)) |
(/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
#s(approx (/ z (+ z y)) (/.f64 z y)) |
(/.f64 z y) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(+.f64 y z) |
(/.f64 z x) |
(neg.f64 y) |
| Outputs |
|---|
#<batchref> |
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Compiled 17 966 to 2 209 computations (87.7% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 280 | 0 | 1 280 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 280 | 7 | 1 287 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 80.9% | (/.f64 (+.f64 y z) (/.f64 z x)) |
| ✓ | 46.5% | (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) |
| ✓ | 46.1% | (/.f64 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
| ✓ | 53.8% | (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| ✓ | 46.4% | (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) |
| ✓ | 97.3% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
| ✓ | 94.8% | #s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 x z) y x)) |
Compiled 159 to 97 computations (39% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
(/.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 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) |
(/.f64 x (/.f64 z (+.f64 z y))) |
(/.f64 (+.f64 y z) (/.f64 z x)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) (+.f64 z y))) |
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x) (*.f64 (-.f64 z y) z)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (/.f64 x (-.f64 y z))) z) |
| Outputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
4 calls:
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| 4.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | y |
| 97.3% | 1 | z |
| 97.3% | 1 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
(/.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 x #s(approx (/ z (+ z y)) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (* (neg x) (+ z y)) (*.f64 (neg.f64 y) x))) |
| Outputs |
|---|
#s(approx (/ (* x (+ y z)) z) (fma.f64 (/.f64 y z) x x)) |
4 calls:
| 16.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | z |
| 97.3% | 1 | x |
| 97.3% | 1 | y |
| 97.3% | 1 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
(/.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:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | z |
| 94.8% | 1 | x |
| 94.8% | 1 | y |
| 94.8% | 1 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
(/.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 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
(/.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 |
|---|---|---|
| 60.4% | 5 | x |
| 81.0% | 3 | y |
| 76.6% | 3 | z |
| 77.9% | 2 | (/.f64 (*.f64 x (+.f64 y z)) z) |
Compiled 10 to 15 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (*.f64 x (+.f64 y z)) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.8% | 1 | x |
| 53.8% | 1 | z |
| 53.8% | 1 | (/.f64 (*.f64 x (+.f64 y z)) z) |
| 53.8% | 1 | y |
Compiled 10 to 15 computations (-50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 7.257458479008499e+93 | 2.3407879615496478e+95 |
| 13.0ms | -142111134056770350.0 | -3752464.6390095865 |
| 12.0ms | 272× | 0 | valid |
Compiled 180 to 250 computations (-38.9% saved)
ival-div: 2.0ms (37.4% of total)ival-add: 2.0ms (37.4% of total)ival-mult: 2.0ms (37.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 83 |
| 1 | 34 | 83 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
#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 -580000000000 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z))) |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 x (/.f64 z (+.f64 z y))) |
(/.f64 x (/.f64 z (+.f64 y z))) |
#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 -580000000000 binary64)) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 8000000000000000347018375796953488586322346599615514494334190314688934503117448887530590044160 binary64)) (/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) (/.f64 #s(approx (* x (+ y z)) (*.f64 y x)) z))) |
(/.f64 x #s(approx (/ z (+ z y)) #s(literal 1 binary64))) |
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 |
| 0 | 27 | 124 |
| 0 | 47 | 113 |
| 1 | 186 | 105 |
| 2 | 1382 | 105 |
| 0 | 8575 | 105 |
| 0 | 6 | 15 |
| 0 | 9 | 15 |
| 1 | 40 | 15 |
| 2 | 256 | 15 |
| 3 | 2320 | 15 |
| 0 | 8156 | 15 |
| 0 | 281 | 3677 |
| 1 | 873 | 3579 |
| 2 | 2396 | 3491 |
| 3 | 7307 | 3488 |
| 0 | 8565 | 3346 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 142 to 88 computations (38% saved)
(negabs x)
Compiled 154 to 96 computations (37.7% saved)
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