
Time bar (total: 7.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 8 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 9 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 10 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 11 |
| 96.9% | 96.7% | 3.1% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 547.0ms | 8 256× | 0 | valid |
ival-mult: 201.0ms (60.6% of total)ival-add: 70.0ms (21.1% of total)ival-div: 52.0ms (15.7% of total)ival-true: 6.0ms (1.8% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 116 | 0 | - | 0 | - | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 1 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 47 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 60 | |
| ↳ | (*.f64 a c) | overflow | 35 | |
| ↳ | (*.f64 b d) | overflow | 33 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 119 | |
| ↳ | (*.f64 c c) | overflow | 55 | |
| ↳ | (*.f64 d d) | overflow | 75 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 42 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 119 | |
| ↳ | (*.f64 c c) | overflow | 55 | |
| ↳ | (*.f64 d d) | overflow | 75 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 13 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 60 | |
| ↳ | (*.f64 a c) | overflow | 35 | |
| ↳ | (*.f64 b d) | overflow | 33 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 9 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 62 | |
| ↳ | (*.f64 d d) | underflow | 69 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 3 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 5 | |
| ↳ | (*.f64 a c) | underflow | 28 | |
| ↳ | (*.f64 b d) | underflow | 39 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 62 | |
| ↳ | (*.f64 d d) | underflow | 69 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 2 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 5 | |
| ↳ | (*.f64 a c) | underflow | 28 | |
| ↳ | (*.f64 b d) | underflow | 39 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 a c) | overflow | 35 | |
| ↳ | (*.f64 b d) | overflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 116 | 0 |
| - | 0 | 140 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 116 | 0 | 0 |
| - | 0 | 0 | 140 |
| number | freq |
|---|---|
| 0 | 140 |
| 1 | 115 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 512× | 0 | valid |
Compiled 113 to 37 computations (67.3% saved)
ival-mult: 12.0ms (60.3% of total)ival-add: 4.0ms (20.1% of total)ival-div: 3.0ms (15.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 210× | times-frac |
| 1 210× | div-sub |
| 1 068× | distribute-rgt-in |
| 1 028× | distribute-lft-in |
| 988× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 218 |
| 1 | 132 | 210 |
| 2 | 209 | 210 |
| 3 | 377 | 210 |
| 4 | 914 | 210 |
| 5 | 2299 | 210 |
| 6 | 3076 | 210 |
| 7 | 3886 | 210 |
| 8 | 4759 | 210 |
| 9 | 5156 | 210 |
| 10 | 5284 | 210 |
| 11 | 5444 | 210 |
| 12 | 5444 | 210 |
| 13 | 5480 | 210 |
| 14 | 5496 | 210 |
| 15 | 5496 | 210 |
| 16 | 5856 | 210 |
| 17 | 6830 | 210 |
| 18 | 6982 | 210 |
| 19 | 6994 | 210 |
| 20 | 6998 | 210 |
| 21 | 7006 | 210 |
| 22 | 7014 | 210 |
| 23 | 7014 | 210 |
| 24 | 7122 | 210 |
| 25 | 7170 | 210 |
| 26 | 7170 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 22 | 15 |
| 0 | 22 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.2% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 12× | lower-*.f32 |
| 8× | lift-*.f64 |
| 8× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 22 | 45 |
| 0 | 22 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 a c (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.21484375000000003 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 27.800667962951472 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 18.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (62% of total)ival-add: 2.0ms (20.7% of total)ival-div: 1.0ms (10.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* b d) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (* a c) |
| 1.0ms | c | @ | inf | (+ (* c c) (* d d)) |
| 0.0ms | a | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 0.0ms | b | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 0.0ms | a | @ | 0 | (+ (* a c) (* b d)) |
| 1× | egg-herbie |
| 7 676× | lower-fma.f64 |
| 7 676× | lower-fma.f32 |
| 4 326× | lower-*.f64 |
| 4 326× | lower-*.f32 |
| 1 822× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1892 | 1322 |
| 3 | 5763 | 1320 |
| 0 | 8185 | 1190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
| Outputs |
|---|
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
| 5 970× | lower-fma.f64 |
| 5 970× | lower-fma.f32 |
| 5 332× | lower-*.f32 |
| 5 324× | lower-*.f64 |
| 2 426× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 58 | 32 |
| 2 | 435 | 32 |
| 3 | 5073 | 32 |
| 0 | 8760 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
| Outputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 b d) (*.f64 a c)) |
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (*.f64 a (neg.f64 c)))) |
(+.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (*.f64 b (neg.f64 d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b d (*.f64 a (neg.f64 c))))) |
(fma.f64 a c (*.f64 b d)) |
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c a (*.f64 b d)) |
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d)) |
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 b d (*.f64 a c)) |
(fma.f64 d b (*.f64 a c)) |
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 c c)) (/.f64 a (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 a c)) (/.f64 c (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d)) |
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c)) |
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
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(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))) |
(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d)))))) (neg.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (*.f64 (+.f64 c d) (-.f64 d c))) |
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))) (fma.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d))))) |
(exp.f64 (log.f64 (*.f64 a c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 a c) #s(literal 1 binary64)) |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
Compiled 17 374 to 1 022 computations (94.1% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 470 | 13 | 483 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 471 | 13 | 484 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.2% | (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ▶ | 33.2% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 22.1% | (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) | |
| 39.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))) | |
| 48.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) | |
| 53.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) | |
| 53.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) | |
| ▶ | 50.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) |
| 46.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) | |
| ▶ | 33.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| 39.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) | |
| 41.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Compiled 446 to 234 computations (47.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) | |
| cost-diff | 128 | (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) | |
| cost-diff | 320 | (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) | |
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) | |
| cost-diff | 0 | (/.f64 a c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (fma.f64 d b (*.f64 a c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 6 896× | lower-fma.f32 |
| 6 890× | lower-fma.f64 |
| 2 840× | lower-*.f32 |
| 2 830× | lower-*.f64 |
| 1 296× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 273 |
| 0 | 54 | 261 |
| 1 | 76 | 261 |
| 2 | 104 | 256 |
| 3 | 192 | 251 |
| 4 | 310 | 251 |
| 5 | 423 | 251 |
| 6 | 624 | 251 |
| 7 | 910 | 251 |
| 8 | 1289 | 251 |
| 9 | 1914 | 251 |
| 10 | 3428 | 251 |
| 11 | 4828 | 251 |
| 12 | 5325 | 251 |
| 13 | 5501 | 251 |
| 14 | 5575 | 251 |
| 15 | 5602 | 251 |
| 16 | 5622 | 251 |
| 17 | 5852 | 251 |
| 18 | 6052 | 251 |
| 19 | 6170 | 251 |
| 20 | 6172 | 251 |
| 21 | 6172 | 251 |
| 22 | 6172 | 251 |
| 23 | 6825 | 251 |
| 24 | 7269 | 251 |
| 25 | 7430 | 251 |
| 26 | 7714 | 251 |
| 0 | 8012 | 248 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(fma.f64 d b (*.f64 a c)) |
d |
b |
(*.f64 a c) |
a |
c |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(*.f64 b d) |
b |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) |
b |
(/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) |
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) |
(/.f64 (*.f64 c (neg.f64 c)) d) |
(*.f64 c (neg.f64 c)) |
c |
(neg.f64 c) |
d |
(*.f64 a c) |
a |
| Outputs |
|---|
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 a c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d b (*.f64 a c)) |
d |
b |
(*.f64 a c) |
a |
c |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 d b) (fma.f64 d d (*.f64 c c))) |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 a c)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d))) b) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d))) b) d) |
(+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) |
(fma.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d))) b) |
b |
(/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) |
(*.f64 (/.f64 c d) (-.f64 a (*.f64 b (/.f64 c d)))) |
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) |
(*.f64 c (-.f64 a (*.f64 b (/.f64 c d)))) |
(/.f64 (*.f64 c (neg.f64 c)) d) |
(*.f64 c (/.f64 c (neg.f64 d))) |
(*.f64 c (neg.f64 c)) |
c |
(neg.f64 c) |
d |
(*.f64 a c) |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.242894574198324 | (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) | |
| accuracy | 5.897160549204277 | (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) | |
| accuracy | 7.361586586443605 | (/.f64 (*.f64 c (neg.f64 c)) d) | |
| accuracy | 30.654653622456582 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) | |
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.21484375000000003 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 27.717070134699814 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 27.800667962951472 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 0 | (*.f64 b d) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 21.54217590464213 | (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 28.994778682831736 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 0 | (/.f64 a c) | |
| accuracy | 36.78844621387856 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.01171875 | (fma.f64 d b (*.f64 a c)) | |
| accuracy | 27.800667962951472 | (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 46.0ms | 256× | 0 | valid |
Compiled 242 to 27 computations (88.8% saved)
ival-div: 10.0ms (36.2% of total)ival-mult: 10.0ms (36.2% of total)ival-add: 6.0ms (21.7% of total)ival-neg: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ()) |
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ()) |
#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (*.f64 b d) (patch (*.f64 b d) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) (patch (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) #<representation binary64>) () ()) |
#s(alt (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) (patch (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) (patch (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (/ (* a c) d)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
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#s(alt (* a c) (taylor 0 d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor inf d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ b (/ (* a c) d))) (taylor inf d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor inf b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ d (/ (* a c) b))) (taylor inf b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) (taylor -inf b) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor 0 a) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (* a c) (taylor inf a) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ c (/ (* b d) a))) (taylor inf a) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) (taylor -inf a) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor 0 c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (fma.f64 d b (*.f64 a c)) (patch (fma.f64 d b (*.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
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#s(alt (* a c) (taylor -inf a) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
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#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (pow c 2) d)) (taylor inf c) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf c) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor 0 d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c (neg.f64 c)) d) (patch (/.f64 (*.f64 c (neg.f64 c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) (taylor inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) (patch (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) |
| 1.0ms | b | @ | 0 | (/ (* b d) (+ (* d d) (* c c))) |
| 1.0ms | b | @ | inf | (/ (* b d) (+ (* d d) (* c c))) |
| 1.0ms | a | @ | 0 | (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) |
| 1.0ms | c | @ | 0 | (/ (* c (neg c)) d) |
| 1× | egg-herbie |
| 11 804× | lower-fma.f64 |
| 11 804× | lower-fma.f32 |
| 5 700× | lower-*.f64 |
| 5 700× | lower-*.f32 |
| 2 488× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 421 | 9531 |
| 1 | 1391 | 9167 |
| 2 | 4373 | 8857 |
| 0 | 8176 | 8293 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
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(pow d 2) |
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(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
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(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
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(* d (+ b (/ (* a c) d))) |
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(* a c) |
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(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
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(* b d) |
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(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
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(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
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(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
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(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
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(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
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(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
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(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
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(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
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(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
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(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2)))) |
(/ b d) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (+ (/ (* b (pow c 2)) (pow d 2)) (/ (* b (pow c 6)) (pow d 6))))) d)) |
(/ b d) |
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(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 7))) (* -1 (/ b (pow d 5))))) (/ b (pow d 3)))) (/ b d)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* -1 (/ (* b (pow d 3)) (pow c 2))) (* b d)) (pow c 2)) |
(/ (- (+ (* b d) (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (* b (pow d 7)) (pow c 6))) (* b d)) (+ (* -1 (/ (* b (pow d 5)) (pow c 4))) (/ (* b (pow d 3)) (pow c 2)))) (pow c 2)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* a c) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(* -1 (/ (* b (pow c 2)) d)) |
(* b (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b))) |
(* b (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b))) |
(* b (+ (* -1 (/ (pow c 2) d)) (/ (* a c) b))) |
(* -1 (/ (* b (pow c 2)) d)) |
(* -1 (* b (+ (* -1 (/ (* a c) b)) (/ (pow c 2) d)))) |
(* -1 (* b (+ (* -1 (/ (* a c) b)) (/ (pow c 2) d)))) |
(* -1 (* b (+ (* -1 (/ (* a c) b)) (/ (pow c 2) d)))) |
(* a c) |
(* c (+ a (* -1 (/ (* b c) d)))) |
(* c (+ a (* -1 (/ (* b c) d)))) |
(* c (+ a (* -1 (/ (* b c) d)))) |
(* -1 (/ (* b (pow c 2)) d)) |
(* (pow c 2) (+ (* -1 (/ b d)) (/ a c))) |
(* (pow c 2) (+ (* -1 (/ b d)) (/ a c))) |
(* (pow c 2) (+ (* -1 (/ b d)) (/ a c))) |
(* -1 (/ (* b (pow c 2)) d)) |
(* (pow c 2) (+ (* -1 (/ b d)) (/ a c))) |
(* (pow c 2) (+ (* -1 (/ b d)) (/ a c))) |
(* (pow c 2) (+ (* -1 (/ b d)) (/ a c))) |
(* -1 (/ (* b (pow c 2)) d)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) d) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) d) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) d) |
(* a c) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(* a c) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(* -1 (/ (* b (pow c 2)) d)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) |
(* a c) |
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d))))) |
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d))))) |
(* a (+ c (* -1 (/ (* b (pow c 2)) (* a d))))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d))))) |
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d))))) |
(* -1 (* a (+ (* -1 c) (/ (* b (pow c 2)) (* a d))))) |
(/ (* a c) d) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* -1 (* b (- (/ (pow c 2) (pow d 2)) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
b |
(+ b (/ (* a c) d)) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
b |
(+ b (/ (* a c) d)) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
b |
(+ b (/ (* a c) d)) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(/ (* a c) d) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* -1 (/ (* b (- (/ (pow c 2) (pow d 2)) 1)) d)) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(* -1 (/ (pow c 2) d)) |
(/ (* a c) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) |
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) |
(* -1 (* b (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))))) |
(/ (* a c) d) |
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) |
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) |
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/ (* a c) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) |
(/ (* a c) d) |
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) |
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) |
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(/ (* a c) d) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (/.f64 a (*.f64 c (*.f64 c (neg.f64 c)))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 (/.f64 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 (*.f64 c c) b)) d)) d)) d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) b)) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 (fma.f64 (neg.f64 c) (*.f64 c (/.f64 b (*.f64 d d))) b) d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 c (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 a (-.f64 (/.f64 (*.f64 b (fma.f64 (neg.f64 d) (*.f64 d (/.f64 d (*.f64 c c))) d)) c) (*.f64 (*.f64 d (/.f64 d (*.f64 c c))) a))) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (fma.f64 d (*.f64 d a) (/.f64 (*.f64 d (*.f64 (*.f64 d d) b)) c)) c)) c)) c) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(* b d) |
(*.f64 d b) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(* b d) |
(*.f64 d b) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b d) |
(*.f64 d b) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 d (/.f64 b a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 d (/.f64 b a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 d (/.f64 b a) c)) |
(* a c) |
(*.f64 c a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 d (/.f64 b a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 d (/.f64 b a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 d (/.f64 b a) c)) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 d b (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* a c) |
(*.f64 c a) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 d (/.f64 b (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 a (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 d (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
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(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d))) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d c)) (/.f64 b (*.f64 d d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/.f64 (*.f64 c (-.f64 (*.f64 d a) (*.f64 c b))) (*.f64 d d)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/.f64 (*.f64 c (-.f64 (*.f64 d a) (*.f64 c b))) (*.f64 d d)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/.f64 (*.f64 c (-.f64 (*.f64 d a) (*.f64 c b))) (*.f64 d d)) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d)) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/.f64 (*.f64 (*.f64 c c) b) (neg.f64 (*.f64 d d))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d)) |
(/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) |
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) |
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (/ c d))) |
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a)))) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a)))) |
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a)))) |
(* -1 (* a (+ (* -1 (/ c d)) (/ (* b (pow c 2)) (* a (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 c d) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 (*.f64 d d) a)))) |
| 6 054× | lower-fma.f32 |
| 6 048× | lower-fma.f64 |
| 4 834× | lower-/.f32 |
| 4 820× | lower-/.f64 |
| 4 104× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 229 |
| 0 | 54 | 217 |
| 1 | 201 | 217 |
| 2 | 1420 | 217 |
| 0 | 8296 | 217 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(fma.f64 d b (*.f64 a c)) |
(*.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(*.f64 b d) |
(fma.f64 d d (*.f64 c c)) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) |
(+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(/.f64 (*.f64 c (neg.f64 c)) d) |
(/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d) |
| Outputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(+.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(-.f64 (*.f64 d d) (*.f64 c (neg.f64 c))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64))) |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 (*.f64 c c) #s(literal 1 binary64) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 (neg.f64 c) (neg.f64 c) (*.f64 d d)) |
(fma.f64 (neg.f64 d) (neg.f64 d) (*.f64 c c)) |
(fma.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 c c) (*.f64 d d)) |
(fma.f64 #s(literal 1 binary64) (*.f64 d d) (*.f64 c c)) |
(fma.f64 #s(literal -1 binary64) (*.f64 c (neg.f64 c)) (*.f64 d d)) |
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d)) |
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c)) |
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 d (+.f64 d c)) (/.f64 (*.f64 d (*.f64 d d)) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(fma.f64 (/.f64 (*.f64 d d) (+.f64 d c)) (/.f64 (*.f64 d d) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(fma.f64 (/.f64 (*.f64 d (*.f64 d d)) (+.f64 d c)) (/.f64 d (-.f64 d c)) (neg.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(/.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))) |
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))))) (neg.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (fma.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) (+.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) (+.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 c c (*.f64 d d)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) |
(*.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
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(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 c c) d)) |
(neg.f64 (/.f64 (*.f64 c c) d)) |
(/.f64 c (/.f64 d (neg.f64 c))) |
(/.f64 (*.f64 c c) (neg.f64 d)) |
(/.f64 (*.f64 c (neg.f64 c)) d) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c (neg.f64 c)))) |
(/.f64 #s(literal -1 binary64) (/.f64 d (*.f64 c c))) |
(pow.f64 (/.f64 d (*.f64 c (neg.f64 c))) #s(literal -1 binary64)) |
(*.f64 c (/.f64 c (neg.f64 d))) |
(*.f64 (*.f64 c c) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (neg.f64 c) (/.f64 c d)) |
(*.f64 (*.f64 c (neg.f64 c)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (neg.f64 c)) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 c (neg.f64 c))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 c c) d)) |
(*.f64 (/.f64 c (neg.f64 d)) c) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 c d)) |
(*.f64 (pow.f64 (/.f64 d (*.f64 c (neg.f64 c))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (*.f64 c (neg.f64 c))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) (neg.f64 d))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))) d) (/.f64 (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))) d)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)))) (/.f64 (*.f64 c (*.f64 a (*.f64 c a))) (*.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))))) |
(neg.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) (neg.f64 d))) |
(/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) d) |
(/.f64 (neg.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) (neg.f64 d)) |
(/.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) d)) |
(/.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) (*.f64 d (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)))) (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))) (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) d) (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) d) (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) (/.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) d))) |
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) (*.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) d))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a))))) (neg.f64 (*.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a))))) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) d))) |
(/.f64 (/.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) d) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) d) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) d)) (neg.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) d)) (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)))) |
(pow.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) d) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) d) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)))) |
(*.f64 (neg.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)))))) |
(*.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) d))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) (neg.f64 d))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (*.f64 d (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)) d))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d)))) d) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a)))) d) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)))) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a))) (/.f64 (*.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c))))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d)) (*.f64 c (*.f64 a (*.f64 c a))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d) (*.f64 c a)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))) d) (/.f64 (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d)) (fma.f64 (*.f64 c a) (fma.f64 c a (*.f64 (/.f64 (*.f64 c c) d) b)) (/.f64 (*.f64 (*.f64 b b) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 d d))))) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 c a (/.f64 (*.f64 b (*.f64 c (neg.f64 c))) d))) #s(literal -1/2 binary64))) |
Compiled 40 200 to 2 167 computations (94.6% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 517 | 14 | 1 531 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 525 | 19 | 1 544 |
| Status | Accuracy | Program |
|---|---|---|
| 33.2% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 22.1% | (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) | |
| 17.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 26.5% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ▶ | 53.4% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| 52.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) | |
| 49.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d)) | |
| 45.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) | |
| ▶ | 41.4% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ▶ | 53.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| ✓ | 33.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| 39.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 23.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
| ✓ | 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| 34.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) | |
| 20.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) | |
| 17.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
Compiled 527 to 285 computations (45.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | (fma.f64 d (/.f64 b c) a) | |
| cost-diff | 0 | (/.f64 (fma.f64 d (/.f64 b c) a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) | |
| cost-diff | 0 | (/.f64 (*.f64 c a) d) | |
| cost-diff | 0 | #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 c a) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 c a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 a (/.f64 c d) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 9 520× | lower-fma.f32 |
| 9 516× | lower-fma.f64 |
| 2 360× | lower-*.f32 |
| 2 356× | lower-*.f64 |
| 1 924× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 264 |
| 0 | 54 | 264 |
| 1 | 83 | 264 |
| 2 | 110 | 258 |
| 3 | 197 | 255 |
| 4 | 314 | 255 |
| 5 | 425 | 255 |
| 6 | 627 | 255 |
| 7 | 913 | 255 |
| 8 | 1257 | 255 |
| 9 | 1707 | 255 |
| 10 | 3288 | 255 |
| 11 | 4278 | 255 |
| 12 | 4916 | 255 |
| 13 | 5095 | 255 |
| 14 | 5130 | 255 |
| 15 | 5155 | 255 |
| 16 | 5691 | 255 |
| 17 | 5952 | 255 |
| 18 | 6040 | 255 |
| 19 | 6348 | 255 |
| 20 | 7038 | 255 |
| 21 | 7654 | 255 |
| 0 | 8379 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
a |
(/.f64 c d) |
c |
d |
b |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 c a)) |
(*.f64 c a) |
c |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 c a) |
c |
a |
d |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(fma.f64 d (/.f64 b c) a) |
d |
(/.f64 b c) |
b |
c |
a |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
a |
(/.f64 c d) |
c |
d |
b |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 c a)) |
#s(approx (+ (* a c) (* b d)) (*.f64 a c)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d)) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) |
(/.f64 (*.f64 c a) d) |
(*.f64 a (/.f64 c d)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
d |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(fma.f64 d (/.f64 b c) a) |
(fma.f64 b (/.f64 d c) a) |
d |
(/.f64 b c) |
b |
c |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.05078125 | (/.f64 (fma.f64 d (/.f64 b c) a) c) | |
| accuracy | 2.1622686312195345 | (fma.f64 d (/.f64 b c) a) | |
| accuracy | 29.599598333670393 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) | |
| accuracy | 1.2302429992822497 | (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) | |
| accuracy | 4.779152374160912 | (/.f64 (*.f64 c a) d) | |
| accuracy | 30.654653622456582 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) | |
| accuracy | 41.64604603203479 | #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) | |
| accuracy | 0 | (*.f64 c a) | |
| accuracy | 27.717070134699814 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 27.800667962951472 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 28.642499270107468 | #s(approx (+ (* a c) (* b d)) (*.f64 c a)) | |
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 37.503507955773834 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0 | (/.f64 c d) | |
| accuracy | 1.0053892360604815 | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| accuracy | 2.929322820321315 | (fma.f64 a (/.f64 c d) b) | |
| accuracy | 29.66421509539909 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 79.0ms | 256× | 0 | valid |
Compiled 195 to 35 computations (82.1% saved)
ival-div: 24.0ms (48.8% of total)ival-mult: 14.0ms (28.5% of total)ival-add: 9.0ms (18.3% of total)ival-neg: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 a (/.f64 c d) b) d) (patch (/.f64 (fma.f64 a (/.f64 c d) b) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (/.f64 c d) b) (patch (fma.f64 a (/.f64 c d) b) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ()) |
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 c a)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #<representation binary64>) () ()) |
#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ()) |
#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* b d) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) (taylor -inf a) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (+ (pow c 2) (pow d 2))) (taylor 0 b) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #<representation binary64>) () ())) ()) |
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#s(alt (/ a c) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor inf b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) (taylor -inf b) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 d (/.f64 b c) a) c) (patch (/.f64 (fma.f64 d (/.f64 b c) a) c) #<representation binary64>) () ())) ()) |
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#s(alt (+ a (/ (* b d) c)) (taylor 0 d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor 0 d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (/ a d) (/ b c))) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (/ a d) (/ b c))) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (/ a d) (/ b c))) (taylor inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt a (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor 0 b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a b) (/ d c))) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a b) (/ d c))) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a b) (/ d c))) (taylor inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) (taylor -inf b) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt a (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt a (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor -inf c) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (/ (* b d) c)) (taylor 0 a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt a (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (/ (* b d) (* a c)))) (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (/ (* b d) (* a c)))) (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ 1 (/ (* b d) (* a c)))) (taylor inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt a (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) (taylor -inf a) (#s(alt (fma.f64 d (/.f64 b c) a) (patch (fma.f64 d (/.f64 b c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | c | @ | 0 | (/ (* c a) d) |
| 1.0ms | d | @ | inf | (/ (+ (* d (/ b c)) a) c) |
| 1.0ms | d | @ | -inf | (/ (+ (* a (/ c d)) b) d) |
| 1.0ms | c | @ | -inf | (/ (+ (* d (/ b c)) a) c) |
| 0.0ms | d | @ | inf | (/ (+ (* a (/ c d)) b) d) |
| 1× | egg-herbie |
| 11 710× | lower-fma.f64 |
| 11 710× | lower-fma.f32 |
| 5 408× | lower-*.f64 |
| 5 408× | lower-*.f32 |
| 2 440× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 8701 |
| 1 | 1315 | 8495 |
| 2 | 4328 | 8169 |
| 0 | 8222 | 7615 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* -1 (/ (* b (- (/ (pow c 2) (pow d 2)) 1)) d)) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(/ (* a c) d) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* -1 (* b (- (/ (pow c 2) (pow d 2)) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
b |
(+ b (/ (* a c) d)) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
b |
(+ b (/ (* a c) d)) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
b |
(+ b (/ (* a c) d)) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(/ (* a c) d) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 (fma.f64 (*.f64 c c) (/.f64 b (*.f64 d (neg.f64 d))) b) d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (fma.f64 a (*.f64 d (/.f64 d (neg.f64 c))) (*.f64 b d)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (-.f64 a (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)))) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 a (*.f64 d (/.f64 d (neg.f64 c))) (*.f64 b d)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (/.f64 a b) d)) (neg.f64 b)) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 d (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 c (fma.f64 b (/.f64 c (*.f64 d (neg.f64 d))) (/.f64 a d)) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 (/.f64 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (fma.f64 (*.f64 c c) (/.f64 b (*.f64 d (neg.f64 d))) b)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (fma.f64 c (fma.f64 b (/.f64 c (*.f64 d (neg.f64 d))) (/.f64 a d)) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 b (*.f64 c c) (*.f64 a (/.f64 (*.f64 c (*.f64 c c)) d))) d)) d)) d) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d)))) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 a (+.f64 (/.f64 b (*.f64 d a)) (/.f64 c (*.f64 d d)))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c)))) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c)))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c)))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 c (+.f64 (/.f64 a (*.f64 d d)) (/.f64 b (*.f64 d c)))) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
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(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 c a)) a) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 c a)) a) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 c a)) a) a) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (neg.f64 a) (/.f64 (*.f64 b d) (*.f64 c (neg.f64 a))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (neg.f64 a) (/.f64 (*.f64 b d) (*.f64 c (neg.f64 a))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 (neg.f64 a) (/.f64 (*.f64 b d) (*.f64 c (neg.f64 a))) a) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
| 5 356× | lower-/.f32 |
| 5 340× | lower-/.f64 |
| 5 258× | lower-fma.f32 |
| 5 254× | lower-fma.f64 |
| 4 108× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 243 |
| 0 | 54 | 243 |
| 1 | 239 | 243 |
| 2 | 1711 | 243 |
| 0 | 8288 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
(/.f64 c d) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 c a)) |
(*.f64 c a) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(fma.f64 d (/.f64 b c) a) |
(/.f64 b c) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) d) (/.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b)) d)) |
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b))) (/.f64 (*.f64 b b) (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b)))) |
(neg.f64 (/.f64 (fma.f64 a (/.f64 c d) b) (neg.f64 d))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (neg.f64 d)) |
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (*.f64 d (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 a (/.f64 c d) b))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))) (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b)) (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d) (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) d) (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b))) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d)) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) d)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) (neg.f64 (*.f64 d (-.f64 (*.f64 c (/.f64 a d)) b)))) |
(/.f64 (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64)) d) |
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d)) (-.f64 (*.f64 c (/.f64 a d)) b)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) d))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (/.f64 c d) b) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) d))) (neg.f64 (-.f64 (*.f64 c (/.f64 a d)) b))) |
(pow.f64 (/.f64 d (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a (/.f64 c d) b) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 (fma.f64 a (/.f64 c d) b) d) (/.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (-.f64 (*.f64 c (/.f64 a d)) b))) |
(*.f64 (neg.f64 (fma.f64 a (/.f64 c d) b)) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 a (/.f64 c d) b)) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c (/.f64 a d)) b))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) d) (/.f64 (fma.f64 a (/.f64 c d) b) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))) |
(+.f64 b (*.f64 c (/.f64 a d))) |
(+.f64 (*.f64 c (/.f64 a d)) b) |
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (*.f64 c (/.f64 a d)))) (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 b (*.f64 c (/.f64 a d))))) |
(fma.f64 a (/.f64 c d) b) |
(fma.f64 c (/.f64 a d) b) |
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) a) b) |
(fma.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) d) b) |
(fma.f64 (/.f64 c d) a b) |
(fma.f64 (*.f64 a (neg.f64 c)) (/.f64 #s(literal 1 binary64) (neg.f64 d)) b) |
(fma.f64 #s(literal 1 binary64) (*.f64 c (/.f64 a d)) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 a c) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64)) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)) b) |
(fma.f64 (/.f64 a d) c b) |
(fma.f64 (/.f64 a d) (/.f64 c #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a d) b) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) b) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 a) d) b) |
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 c d) b) |
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))) |
(/.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))) (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a d)) (*.f64 a c)) (*.f64 (*.f64 a c) b)) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a d)) (*.f64 a c)) (*.f64 (*.f64 a c) b)) d)) (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (*.f64 c (/.f64 a d))) (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))) |
(/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)) (-.f64 (*.f64 c (/.f64 a d)) b)) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 a d)) (*.f64 a c)) (*.f64 (*.f64 a c) b)) d)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b))) (neg.f64 (-.f64 (*.f64 c (/.f64 a d)) b))) |
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d))) (-.f64 b (*.f64 c (/.f64 a d)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (*.f64 b b))) (*.f64 (-.f64 (*.f64 c (/.f64 a d)) b) (-.f64 (*.f64 c (/.f64 a d)) b))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (*.f64 b b) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b (*.f64 c (/.f64 a d))) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (*.f64 b b)))) (neg.f64 (neg.f64 (-.f64 (*.f64 c (/.f64 a d)) b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)))) (neg.f64 (-.f64 b (*.f64 c (/.f64 a d))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) (fma.f64 (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b)) (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b)) (*.f64 (/.f64 (/.f64 (*.f64 a (*.f64 c (*.f64 a c))) (*.f64 d d)) (-.f64 (*.f64 c (/.f64 a d)) b)) (/.f64 (*.f64 b b) (-.f64 (*.f64 c (/.f64 a d)) b)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a))) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) c)) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c)) (-.f64 (/.f64 (*.f64 b d) c) a)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))) c))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c))) (neg.f64 (-.f64 (/.f64 (*.f64 b d) c) a))) |
(pow.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (-.f64 (/.f64 (*.f64 b d) c) a))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 b (/.f64 d c) a)) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b d) c) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))) c) (/.f64 (fma.f64 b (/.f64 d c) a) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))) |
(+.f64 a (/.f64 (*.f64 b d) c)) |
(+.f64 (/.f64 (*.f64 b d) c) a) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (/.f64 (*.f64 b d) c))) (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 a (/.f64 (*.f64 b d) c)))) |
(fma.f64 b (/.f64 d c) a) |
(fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) c) d) a) |
(fma.f64 d (/.f64 b c) a) |
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) c) a) |
(fma.f64 (/.f64 b c) d a) |
(fma.f64 (/.f64 d c) (/.f64 (neg.f64 b) #s(literal -1 binary64)) a) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d (/.f64 #s(literal 1 binary64) b)) a) |
(fma.f64 (/.f64 (neg.f64 b) c) (/.f64 d #s(literal -1 binary64)) a) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c) a) |
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) c) a) |
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b d) c) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b d) c) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c)) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (-.f64 (/.f64 (*.f64 b d) c) a)) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c))))) (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c))))) (neg.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b d) c) (*.f64 b d)) (*.f64 (*.f64 b d) a)) c)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a))) (neg.f64 (-.f64 (/.f64 (*.f64 b d) c) a))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 d c) a))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))) (-.f64 a (/.f64 (*.f64 b d) c))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (*.f64 a a))) (*.f64 (-.f64 (/.f64 (*.f64 b d) c) a) (-.f64 (/.f64 (*.f64 b d) c) a))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b d) c) a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)))) (neg.f64 (-.f64 a (/.f64 (*.f64 b d) c)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (-.f64 (/.f64 (*.f64 b d) c) a)) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 b d) c) a)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 (*.f64 d d) (*.f64 b b))) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 b b)) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b d) c) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 b (neg.f64 c))) |
(neg.f64 (/.f64 b (neg.f64 c))) |
(neg.f64 (/.f64 (neg.f64 b) c)) |
(/.f64 b c) |
(/.f64 (neg.f64 b) (neg.f64 c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (/.f64 (neg.f64 b) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c b))) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) c) |
(/.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) c) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64))) (neg.f64 c)) |
(pow.f64 (/.f64 c b) #s(literal -1 binary64)) |
(*.f64 b (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 #s(literal 1 binary64) (/.f64 b c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 b #s(literal -1 binary64))) |
Compiled 16 374 to 1 069 computations (93.5% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 050 | 13 | 1 063 |
| Fresh | 4 | 8 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 056 | 26 | 1 082 |
| Status | Accuracy | Program |
|---|---|---|
| 33.2% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 22.1% | (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) | |
| ▶ | 17.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 39.3% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) | |
| 19.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 26.5% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ✓ | 53.4% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| 52.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) | |
| 49.7% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c)) | |
| 49.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d)) | |
| ▶ | 17.8% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
| ✓ | 41.4% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
| 41.3% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) | |
| ▶ | 53.2% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) |
| 41.3% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) | |
| 44.7% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (fma.f64 a (/.f64 (*.f64 b d) (*.f64 c (*.f64 c a))) (/.f64 a c)))) | |
| ✓ | 33.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| ▶ | 24.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) |
| 24.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) | |
| 23.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) | |
| 23.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)))) d)) | |
| ✓ | 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| ▶ | 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
| 20.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) | |
| 17.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
Compiled 671 to 370 computations (44.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) | |
| cost-diff | 384 | (/.f64 a (/.f64 d c)) | |
| cost-diff | 0 | (/.f64 (*.f64 b d) c) | |
| cost-diff | 0 | #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 d b) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (fma.f64 b (/.f64 d c) a) | |
| cost-diff | 0 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) | |
| cost-diff | 320 | (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) |
| 4 464× | lower-fma.f32 |
| 4 462× | lower-fma.f64 |
| 2 228× | lower-*.f32 |
| 2 218× | lower-*.f64 |
| 1 750× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 306 |
| 0 | 60 | 303 |
| 1 | 95 | 295 |
| 2 | 135 | 289 |
| 3 | 272 | 286 |
| 4 | 455 | 286 |
| 5 | 777 | 286 |
| 6 | 1348 | 286 |
| 7 | 1900 | 286 |
| 8 | 2692 | 286 |
| 9 | 3596 | 286 |
| 10 | 4818 | 286 |
| 11 | 5895 | 286 |
| 12 | 6218 | 286 |
| 13 | 6311 | 286 |
| 14 | 6342 | 286 |
| 15 | 6850 | 286 |
| 16 | 7179 | 286 |
| 17 | 7622 | 286 |
| 18 | 7864 | 286 |
| 0 | 8066 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) |
(fma.f64 b (/.f64 d c) a) |
b |
(/.f64 d c) |
d |
c |
a |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) |
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) |
(/.f64 (*.f64 b d) c) |
(*.f64 b d) |
b |
d |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) |
(/.f64 a (/.f64 d c)) |
a |
(/.f64 d c) |
d |
c |
| Outputs |
|---|
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(fma.f64 b (/.f64 d c) a) |
(fma.f64 d (/.f64 b c) a) |
b |
(/.f64 d c) |
d |
c |
a |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(/.f64 a c) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 d b) c)) c) |
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) |
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 d b) c)) |
(/.f64 (*.f64 b d) c) |
(/.f64 (*.f64 d b) c) |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d)) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) d) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 a (/.f64 c d))) |
(/.f64 a (/.f64 d c)) |
(*.f64 a (/.f64 c d)) |
a |
(/.f64 d c) |
d |
c |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2302429992822497 | (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) | |
| accuracy | 5.869155888509853 | (/.f64 a (/.f64 d c)) | |
| accuracy | 30.654653622456582 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) | |
| accuracy | 41.64604603203479 | #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) | |
| accuracy | 0.05078125 | (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) | |
| accuracy | 6.889432620699802 | (/.f64 (*.f64 b d) c) | |
| accuracy | 29.599598333670393 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) | |
| accuracy | 33.30927481935001 | #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 27.717070134699814 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 27.800667962951472 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 31.32298014546544 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) c) | |
| accuracy | 0.1953125 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| accuracy | 36.78844621387856 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) c) | |
| accuracy | 0.1953125 | (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) | |
| accuracy | 3.6027287865764386 | (fma.f64 b (/.f64 d c) a) | |
| accuracy | 29.599598333670393 | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) |
| 60.0ms | 256× | 0 | valid |
Compiled 212 to 37 computations (82.5% saved)
ival-div: 16.0ms (37.7% of total)ival-mult: 16.0ms (37.7% of total)ival-add: 9.0ms (21.2% of total)ival-neg: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (/.f64 d c) a) (patch (fma.f64 b (/.f64 d c) a) #<representation binary64>) () ()) |
#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ()) |
#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) (patch #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) (patch (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) (patch #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b d) c) (patch (/.f64 (*.f64 b d) c) #<representation binary64>) () ()) |
#s(alt (/.f64 a (/.f64 d c)) (patch (/.f64 a (/.f64 d c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) (patch (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) #<representation binary64>) () ()) |
#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ a c) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (/ a (* b c)) (/ d (pow c 2)))) (taylor inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) (taylor -inf b) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ a c) (/ (* b d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (/ a (* c d)) (/ b (pow c 2)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (/ a (* c d)) (/ b (pow c 2)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (/ a (* c d)) (/ b (pow c 2)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) (patch (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) (patch #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ a (/ (* b d) c)) (taylor inf c) (#s(alt #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) (patch #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) (taylor 0 c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) (taylor 0 c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) (taylor inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) (taylor inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor -inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor -inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) (taylor -inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) (taylor -inf c) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b (pow c 2)) (pow d 2))) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) (taylor -inf d) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) (taylor 0 a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) (taylor inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) (taylor -inf a) (#s(alt #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) (patch #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c | @ | inf | (/ (* b d) c) |
| 0.0ms | c | @ | -inf | (/ d c) |
| 0.0ms | c | @ | 0 | (/ d c) |
| 0.0ms | c | @ | -inf | (/ 1 c) |
| 0.0ms | d | @ | -inf | (/ d c) |
| 1× | egg-herbie |
| 11 374× | lower-fma.f64 |
| 11 374× | lower-fma.f32 |
| 5 282× | lower-*.f64 |
| 5 282× | lower-*.f32 |
| 2 384× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 354 | 8866 |
| 1 | 1199 | 8660 |
| 2 | 3902 | 8328 |
| 0 | 8370 | 7768 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* b d) c) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(+ (* b (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) (/ (* a c) (pow d 2))) |
(/ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* b (+ (* -1 (/ (pow c 2) (pow d 3))) (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))) |
(* -1 (/ (* b (- (/ (pow c 2) (pow d 2)) 1)) d)) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b (pow d 2)))) (/ (pow c 2) (pow d 3))) (/ 1 d)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 3))) (* -1 (/ (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))) c)))) |
(* -1 (/ (* b (pow c 2)) (pow d 3))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 3)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (+ (/ b d) (/ (* a c) (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(/ (* a c) d) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(* -1 (* b (- (/ (pow c 2) (pow d 2)) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
b |
(+ b (/ (* a c) d)) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
b |
(+ b (/ (* a c) d)) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
b |
(+ b (/ (* a c) d)) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(/ (* a c) d) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
| Outputs |
|---|
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (* b d) (pow c 2)) |
(*.f64 d (/.f64 b (*.f64 c c))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a (*.f64 c c)))) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 a (/.f64 d (*.f64 c (*.f64 c (neg.f64 c)))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 (*.f64 (/.f64 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d)))) (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 a c) (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d)) d)) d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
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(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (neg.f64 d)) a))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 3)))) (+ (/ b (* a d)) (/ c (pow d 2))))) |
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (neg.f64 d)) a))) |
(/ (* a c) (pow d 2)) |
(*.f64 a (/.f64 c (*.f64 d d))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (neg.f64 d)) a))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (neg.f64 d)) a))) |
(* -1 (* a (+ (* -1 (/ c (pow d 2))) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) a))))) |
(*.f64 a (+.f64 (/.f64 c (*.f64 d d)) (/.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (neg.f64 d)) a))) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ (* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (/ (* a c) d)) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(* b (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) |
(-.f64 b (*.f64 (*.f64 b (/.f64 c (*.f64 d d))) c)) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(fma.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))) b) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(fma.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))) b) |
(* b (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* a c) (* b d))))) |
(fma.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))) b) |
(* -1 (* b (- (/ (pow c 2) (pow d 2)) 1))) |
(-.f64 b (*.f64 (*.f64 b (/.f64 c (*.f64 d d))) c)) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(fma.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))) b) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(fma.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))) b) |
(* -1 (* b (- (+ (* -1 (/ (* a c) (* b d))) (/ (pow c 2) (pow d 2))) 1))) |
(fma.f64 b (*.f64 c (-.f64 (/.f64 a (*.f64 b d)) (/.f64 c (*.f64 d d)))) b) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ b (* c (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(neg.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 d d))) c)) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 d d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 b (*.f64 c c)) (-.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 d d))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (+ (/ a (* c d)) (/ b (pow c 2))))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 b (*.f64 c c)) (-.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 d d))))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(neg.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 d d))) c)) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(*.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 d d)))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 b (*.f64 c c)) (-.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 d d))))) |
(* (pow c 2) (+ (* -1 (/ b (pow d 2))) (* -1 (/ (+ (* -1 (/ a d)) (* -1 (/ b c))) c)))) |
(*.f64 (*.f64 c c) (+.f64 (/.f64 b (*.f64 c c)) (-.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 d d))))) |
(* -1 (/ (* b (pow c 2)) (pow d 2))) |
(neg.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 d d))) c)) |
(/ (+ (* -1 (* b (pow c 2))) (* a (* c d))) (pow d 2)) |
(/.f64 (*.f64 c (fma.f64 c (neg.f64 b) (*.f64 a d))) (*.f64 d d)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
(/.f64 (-.f64 (*.f64 d (fma.f64 a c (*.f64 b d))) (*.f64 b (*.f64 c c))) (*.f64 d d)) |
(/ (+ (* -1 (* b (pow c 2))) (* d (+ (* a c) (* b d)))) (pow d 2)) |
(/.f64 (-.f64 (*.f64 d (fma.f64 a c (*.f64 b d))) (*.f64 b (*.f64 c c))) (*.f64 d d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 a (/.f64 c d) b) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ b (* -1 (/ (+ (* -1 (* a c)) (/ (* b (pow c 2)) d)) d))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) |
(-.f64 b (*.f64 (*.f64 b (/.f64 c (*.f64 d d))) c)) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) |
(fma.f64 c (-.f64 (/.f64 a d) (*.f64 b (/.f64 c (*.f64 d d)))) b) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d))) |
(* a (+ (* -1 (/ (* b (pow c 2)) (* a (pow d 2)))) (+ (/ b a) (/ c d)))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d))) |
(/ (* a c) d) |
(/.f64 (*.f64 a c) d) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d))) |
(* -1 (* a (+ (* -1 (/ c d)) (* -1 (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) a))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (*.f64 b (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) a) (/.f64 c d))) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
| 5 462× | lower-fma.f32 |
| 5 460× | lower-fma.f64 |
| 5 284× | lower-/.f32 |
| 5 270× | lower-/.f64 |
| 4 678× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 280 |
| 0 | 60 | 273 |
| 1 | 254 | 269 |
| 2 | 1685 | 269 |
| 0 | 8408 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 b (/.f64 d c) a) |
(/.f64 d c) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(/.f64 #s(literal 1 binary64) c) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c) |
#s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) |
(/.f64 (*.f64 b d) c) |
(/.f64 a (/.f64 d c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) |
(*.f64 c c) |
| Outputs |
|---|
(+.f64 (/.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(+.f64 (/.f64 a c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c))) (/.f64 a c)) |
(+.f64 (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c)) (/.f64 a c)) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (-.f64 (*.f64 b (/.f64 d c)) a)) c) (/.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 b (/.f64 d c)) a)) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)))) |
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)) (/.f64 a c)) |
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c) (/.f64 a c)) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a #s(literal -1 binary64)) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b (/.f64 d c)))) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c) (*.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) c) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (neg.f64 c)) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) c) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (neg.f64 c)) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (-.f64 (*.f64 b (/.f64 d c)) a)) (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 c) (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)))) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 c) (-.f64 (*.f64 b (/.f64 d c)) a)) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (fma.f64 b (/.f64 d c) a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 b (/.f64 d c))) (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c))) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b (/.f64 d c)) a) (*.f64 (-.f64 (/.f64 (*.f64 b (*.f64 d (*.f64 b d))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 b (/.f64 d c) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))))) |
(/.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))))) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) #s(literal -1 binary64)) c) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal -1 binary64))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) #s(literal -1 binary64))) (neg.f64 c)) |
(pow.f64 (/.f64 c #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) c) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))))))) |
(*.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (neg.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))))) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 (neg.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (+ (* d (/ b c)) a) (*.f64 b (/.f64 d c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 b d))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (*.f64 b d) (neg.f64 c))) |
(neg.f64 (/.f64 (*.f64 b d) (neg.f64 c))) |
(neg.f64 (/.f64 (*.f64 b (neg.f64 d)) c)) |
(/.f64 b (/.f64 c d)) |
(/.f64 d (/.f64 c b)) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b d))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 b d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 (*.f64 b d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (*.f64 d #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (*.f64 b d) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) (*.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) (*.f64 #s(literal 1 binary64) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 (*.f64 b (neg.f64 d)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 b d) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b d)))) |
(/.f64 (neg.f64 d) (neg.f64 (/.f64 c b))) |
(/.f64 (neg.f64 b) (/.f64 (neg.f64 c) d)) |
(/.f64 (*.f64 b (neg.f64 d)) (neg.f64 c)) |
(/.f64 (*.f64 (*.f64 b d) #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (/.f64 c b)) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 c d)) |
(/.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 c d)) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 c b)) |
(/.f64 (*.f64 (*.f64 b (neg.f64 d)) #s(literal -1 binary64)) c) |
(/.f64 (neg.f64 (*.f64 (*.f64 b d) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 b (neg.f64 d)))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (/.f64 (neg.f64 c) d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (/.f64 (neg.f64 c) d)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) d)) (neg.f64 (/.f64 c b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b (neg.f64 d)) #s(literal -1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 d #s(literal 1 binary64))) (neg.f64 (/.f64 c b))) |
(pow.f64 (/.f64 c (*.f64 b d)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 d c)) |
(*.f64 d (/.f64 b c)) |
(*.f64 (/.f64 d c) b) |
(*.f64 (/.f64 d c) (*.f64 (neg.f64 b) #s(literal -1 binary64))) |
(*.f64 (/.f64 d c) (/.f64 b #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 b (/.f64 d c))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 b d)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b d)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d (/.f64 #s(literal 1 binary64) b))) |
(*.f64 (/.f64 b c) d) |
(*.f64 (/.f64 b c) (*.f64 d #s(literal 1 binary64))) |
(*.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 b (/.f64 d c)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (*.f64 b d))))) |
(*.f64 (/.f64 d (neg.f64 c)) (/.f64 b #s(literal -1 binary64))) |
(*.f64 (*.f64 b (neg.f64 d)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 (*.f64 b d) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (neg.f64 (*.f64 b (neg.f64 d))) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 d #s(literal 1 binary64)) (/.f64 b c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 b d) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 b) c) (/.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 d c)) |
(*.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 d c)) |
(*.f64 (*.f64 #s(literal 1 binary64) d) (/.f64 b c)) |
(*.f64 (*.f64 (*.f64 b (neg.f64 d)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 b) c)) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 d (neg.f64 c))) |
(*.f64 (/.f64 (*.f64 b d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) d)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (neg.f64 d))) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 d))) (/.f64 b (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 c a))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 d (neg.f64 c))) (*.f64 a (/.f64 (neg.f64 c) d))) |
(neg.f64 (*.f64 a (/.f64 (neg.f64 c) d))) |
(/.f64 a (/.f64 d c)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 c a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a d))) |
(/.f64 (*.f64 c a) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 c a)))) |
(/.f64 (neg.f64 a) (/.f64 d (neg.f64 c))) |
(/.f64 (/.f64 a d) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 (neg.f64 (neg.f64 a)) (/.f64 d c)) |
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 d)) |
(/.f64 (neg.f64 (/.f64 a d)) (neg.f64 (/.f64 #s(literal 1 binary64) c))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (/.f64 d (neg.f64 c))) |
(pow.f64 (/.f64 d (*.f64 c a)) #s(literal -1 binary64)) |
(*.f64 c (/.f64 a d)) |
(*.f64 a (/.f64 c d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c a) d)) |
(*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (*.f64 c a))))) |
(*.f64 (neg.f64 a) (/.f64 (neg.f64 c) d)) |
(*.f64 (/.f64 c d) a) |
(*.f64 (/.f64 c d) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) a) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 a d) c) |
(*.f64 (neg.f64 (neg.f64 a)) (/.f64 c d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) (/.f64 a (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (/.f64 a (neg.f64 d)) (neg.f64 c)) |
(*.f64 (/.f64 a (neg.f64 d)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 a (neg.f64 (/.f64 #s(literal 1 binary64) c)))) |
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) c)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 a (/.f64 #s(literal 1 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))) |
(*.f64 (/.f64 a (*.f64 d #s(literal 1 binary64))) c) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (/.f64 a (pow.f64 c #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 c #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (neg.f64 d))) |
(neg.f64 (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (neg.f64 d))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))))) |
(/.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64))) (neg.f64 d)) |
(pow.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
(*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))))) |
(*.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)))) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (*.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) d)) |
#s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 c))) |
(-.f64 #s(literal 0 binary64) (*.f64 c (neg.f64 c))) |
(neg.f64 (*.f64 c (neg.f64 c))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 c (neg.f64 c)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 #s(literal 0 binary64) (*.f64 c (neg.f64 c)))))) |
(pow.f64 c #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 c) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(*.f64 c c) |
(*.f64 c (neg.f64 (neg.f64 c))) |
(*.f64 (*.f64 c c) #s(literal 1 binary64)) |
(*.f64 (neg.f64 c) (neg.f64 c)) |
(*.f64 #s(literal -1 binary64) (*.f64 c (neg.f64 c))) |
(*.f64 (neg.f64 (neg.f64 c)) c) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
Compiled 19 959 to 1 364 computations (93.2% saved)
27 alts after pruning (18 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 302 | 4 | 1 306 |
| Fresh | 2 | 14 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 305 | 27 | 1 332 |
| Status | Accuracy | Program |
|---|---|---|
| 33.2% | (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 22.1% | (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) | |
| ✓ | 17.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 39.3% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) | |
| 19.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 26.5% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ✓ | 53.4% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| 52.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) | |
| 49.7% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c)) | |
| 49.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d)) | |
| ✓ | 17.8% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
| 19.8% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c)) | |
| ✓ | 41.4% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
| 41.3% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) | |
| 53.2% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c))) | |
| 41.3% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) | |
| 18.5% | #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) | |
| ✓ | 33.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 24.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) |
| 24.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)) | |
| 24.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) | |
| 23.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) | |
| ✓ | 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| ✓ | 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
| 20.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) | |
| 17.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
Compiled 861 to 327 computations (62% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c))) |
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (*.f64 (/.f64 #s(literal 1 binary64) c) d))) d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (fma.f64 a (/.f64 (*.f64 b d) (*.f64 c (*.f64 c a))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a (/.f64 #s(literal 1 binary64) c)))) d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (*.f64 c (-.f64 a (/.f64 (*.f64 c b) d))) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 d b) (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
| Outputs |
|---|
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
5 calls:
| 18.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 15.0ms | b |
| 14.0ms | a |
| 13.0ms | d |
| 13.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 4 | a |
| 65.8% | 4 | b |
| 84.0% | 4 | c |
| 83.6% | 4 | d |
| 78.6% | 5 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (+.f64 (/.f64 (*.f64 b d) c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 a (/.f64 d c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 d c) a) (/.f64 #s(literal 1 binary64) c))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c))) |
| Outputs |
|---|
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
1 calls:
| 10.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 a d) b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
2 calls:
| 11.0ms | c |
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | d |
| 82.1% | 3 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
2 calls:
| 8.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.6% | 3 | d |
| 78.6% | 4 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
3 calls:
| 7.0ms | c |
| 7.0ms | d |
| 7.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.5% | 4 | d |
| 57.0% | 5 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 70.5% | 5 | c |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 (/.f64 b c) d)) c)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
1 calls:
| 18.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 4 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (* b d) (+ (* d d) (* c c))) (*.f64 b (/.f64 d (*.f64 c c))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 a (/.f64 c (*.f64 d d))))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 d (/.f64 b (*.f64 c c))))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 b (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ b (/ (+ (* b (/ (* c (neg c)) d)) (* a c)) d)) (/.f64 (*.f64 c a) d)) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
1 calls:
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.2% | 3 | c |
Compiled 5 to 4 computations (20% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
5 calls:
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.5% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 42.5% | 1 | b |
| 42.5% | 1 | d |
| 42.5% | 1 | a |
| 42.5% | 1 | c |
Compiled 39 to 27 computations (30.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 26721469849300.543 | 1223751892347236600.0 |
| 19.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
| 14.0ms | -2.6859634156286137e+100 | -1.456804410099436e+92 |
| 28.0ms | 432× | 0 | valid |
Compiled 873 to 507 computations (41.9% saved)
ival-mult: 10.0ms (59.2% of total)ival-add: 4.0ms (23.7% of total)ival-div: 2.0ms (11.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 26721469849300.543 | 1223751892347236600.0 |
| 17.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
| 12.0ms | 128× | 0 | valid |
Compiled 526 to 306 computations (41.8% saved)
ival-mult: 3.0ms (61% of total)ival-div: 1.0ms (20.3% of total)ival-add: 1.0ms (20.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 26721469849300.543 | 1223751892347236600.0 |
| 1.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
Compiled 526 to 306 computations (41.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7835989.754634925 | 31207260.86455605 |
| 1.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
| 8.0ms | -7.94511167381553e+81 | -2.930555900339195e+81 |
| 17.0ms | 160× | 0 | valid |
Compiled 562 to 333 computations (40.7% saved)
ival-add: 8.0ms (61.8% of total)ival-mult: 4.0ms (30.9% of total)ival-div: 1.0ms (7.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 8.915586705478225e+74 | 1.3171249987192793e+80 |
| 14.0ms | 1.3293555580640137e-26 | 1.6159952722521662e-17 |
| 8.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
| 0.0ms | -7.94511167381553e+81 | -2.930555900339195e+81 |
| 25.0ms | 368× | 0 | valid |
Compiled 847 to 513 computations (39.4% saved)
ival-mult: 9.0ms (64.3% of total)ival-add: 3.0ms (21.4% of total)ival-div: 2.0ms (14.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.915586705478225e+74 | 1.3171249987192793e+80 |
| 1.0ms | 1.3293555580640137e-26 | 1.6159952722521662e-17 |
| 2.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
| 1.0ms | 16× | 0 | valid |
Compiled 652 to 408 computations (37.4% saved)
ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 62510.81055645135 | 7835989.754634925 |
| 1.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
| 10.0ms | 112× | 0 | valid |
Compiled 328 to 222 computations (32.3% saved)
ival-mult: 3.0ms (69.9% of total)ival-div: 1.0ms (23.3% of total)ival-add: 1.0ms (23.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 646 |
| 1 | 83 | 646 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal -2614529362970723/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)))) |
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)))) |
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 13500000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8635869714054813/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))) |
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3600000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal -2614529362970723/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 a c)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -320000000000000025459943955609759085809992364853411365100366079151613784070456356292536565760 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal -2614529362970723/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* d b) (* a c)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)))) |
(if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 600000000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)))) |
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -7253554917687775/9671406556917033397649408 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 13500000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8635869714054813/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))) |
(if (<=.f64 c #s(literal -3200000000000000000851515670667752849196876837798425891140223278511672285322018816 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal -8635869714054813/79228162514264337593543950336 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))))) |
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 110591769249305/170141183460469231731687303715884105728 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 44999999999999999353772616190282857579843407508600162101065043600638446172897280 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -4436777100798803/39614081257132168796771975168 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 3600000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 11 804× | lower-fma.f64 |
| 11 804× | lower-fma.f32 |
| 7 676× | lower-fma.f64 |
| 7 676× | lower-fma.f32 |
| 6 054× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1892 | 1322 |
| 3 | 5763 | 1320 |
| 0 | 8185 | 1190 |
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 58 | 32 |
| 2 | 435 | 32 |
| 3 | 5073 | 32 |
| 0 | 8760 | 28 |
| 0 | 34 | 229 |
| 0 | 54 | 217 |
| 1 | 201 | 217 |
| 2 | 1420 | 217 |
| 0 | 8296 | 217 |
| 0 | 421 | 9531 |
| 1 | 1391 | 9167 |
| 2 | 4373 | 8857 |
| 0 | 8176 | 8293 |
| 1× | fuel |
| 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 649 to 252 computations (61.2% saved)
Compiled 670 to 186 computations (72.2% saved)
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