
Time bar (total: 6.4s)
| 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)
| 554.0ms | 8 256× | 0 | valid |
ival-mult: 224.0ms (62.4% of total)ival-add: 76.0ms (21.2% of total)ival-div: 50.0ms (13.9% of total)ival-true: 6.0ms (1.7% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 93 | 1 | (4.7128470578531476e+60 -2.449011012390405e-152 -2.276648680627188e-296 -4.199310313955337e+171) | 1 | (3.546124967993896e-18 5.013122486704736e+55 2.3048112396571014e-198 -2.638445881083534e-161) | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 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 | 57 | |
| ↳ | (*.f64 a c) | overflow | 32 | |
| ↳ | (*.f64 b d) | overflow | 29 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 120 | |
| ↳ | (*.f64 c c) | overflow | 63 | |
| ↳ | (*.f64 d d) | overflow | 74 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 30 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 120 | |
| ↳ | (*.f64 c c) | overflow | 63 | |
| ↳ | (*.f64 d d) | overflow | 74 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 10 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 57 | |
| ↳ | (*.f64 a c) | overflow | 32 | |
| ↳ | (*.f64 b d) | overflow | 29 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 5 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 11 | |
| ↳ | (*.f64 c c) | underflow | 54 | |
| ↳ | (*.f64 d d) | underflow | 58 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 a c) | overflow | 32 | |
| ↳ | (*.f64 b d) | overflow | 29 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 1 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 1 | |
| ↳ | (*.f64 a c) | underflow | 29 | |
| ↳ | (*.f64 b d) | underflow | 29 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 11 | |
| ↳ | (*.f64 c c) | underflow | 54 | |
| ↳ | (*.f64 d d) | underflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 92 | 1 |
| - | 1 | 162 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 92 | 0 | 1 |
| - | 1 | 0 | 162 |
| number | freq |
|---|---|
| 0 | 163 |
| 1 | 91 |
| 2 | 2 |
| 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: 13.0ms (54.6% of total)ival-div: 6.0ms (25.2% of total)ival-add: 4.0ms (16.8% 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 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.0% | (/.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 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.45702918583020585 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 22.14268646670914 | (/.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 (60.6% of total)ival-add: 2.0ms (20.2% of total)ival-div: 1.0ms (10.1% 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 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 (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 (/ b d) (taylor 0 c) (#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 (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#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 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#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 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#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 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 (*.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 (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 (/ a c) (taylor inf c) (#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 (/ (* b d) c)) c) (taylor inf c) (#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 (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#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 (+ (* -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 (+.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 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 (*.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 (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 (/ a c) (taylor -inf c) (#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 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#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 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#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 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#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 -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 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* 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 (/ (- (+ 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 (+.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 (* 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 -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 (/ b 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 (/ (* 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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | c | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 2.0ms | d | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | c | @ | inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | b | @ | inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | c | @ | 0 | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1× | egg-herbie |
| 7 644× | lower-fma.f64 |
| 7 644× | lower-fma.f32 |
| 4 318× | lower-*.f64 |
| 4 318× | lower-*.f32 |
| 1 834× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1890 | 1322 |
| 3 | 5760 | 1320 |
| 0 | 8315 | 1190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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 c) |
(* a c) |
(* a c) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(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)))) |
(/ 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) |
(* a c) |
(* a c) |
(* a 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))))) |
(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)))) |
(/ 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) |
(* a c) |
(* a c) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b 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) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(/ (* 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) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(/ (* 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) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* 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) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(/ (* 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) |
(* a c) |
(* a c) |
(* a c) |
(* 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))))) |
(/ (* 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)))))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(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) |
(/ (+ 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 (* 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 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) |
(* -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)) |
| Outputs |
|---|
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* 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) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 c a (*.f64 d b)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 c a (*.f64 d b)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 c a (*.f64 d b)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.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 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c)) c)) c)) c) |
(* 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) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 c a (*.f64 d b)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.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 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) b) c)) c)) c)) c) |
(* 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) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b d) |
(*.f64 d b) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 c a (*.f64 d b)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 c a (*.f64 d b)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b d) |
(*.f64 d b) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* 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 (/ (* b d) a))) |
(fma.f64 c a (*.f64 d b)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 c a (*.f64 d b)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* 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) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* 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) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (*.f64 (*.f64 c c) c)) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (*.f64 (*.f64 c c) c)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(* b d) |
(*.f64 d b) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 c a (*.f64 d b)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 c a (*.f64 d b)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 c a (*.f64 d b)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) 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 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d)) d)) d)) d) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 c a (*.f64 d b)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) 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 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) d)) d)) d)) d) |
| 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 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (neg.f64 d) b) (-.f64 (*.f64 d b) (*.f64 c a)))))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (neg.f64 d) b) (-.f64 (*.f64 d b) (*.f64 c a))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 c a) (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 c c) a)) a (*.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (-.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (*.f64 (*.f64 (*.f64 a a) c) c))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a)))) (fma.f64 d b (*.f64 c a))) |
(*.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d b) (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 c c) a)) a (*.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (*.f64 (*.f64 d d) b) b))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) (-.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d))) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))))) (fma.f64 (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)) (-.f64 (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d)) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))) (*.f64 (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))))) (fma.f64 (*.f64 (*.f64 a a) c) (/.f64 c (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) (fma.f64 (neg.f64 d) b (*.f64 c a))) |
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(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (/.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) c) (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) b) (*.f64 (*.f64 b b) d))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) c) c (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 (neg.f64 d) d))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b))) |
(fma.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))))) |
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))))) |
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))) (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))))) |
(+.f64 (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (*.f64 c a) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (*.f64 (neg.f64 d) d))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c a)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d b))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 c a) |
(*.f64 a c) |
(pow.f64 (*.f64 c a) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 c a))) |
Compiled 17 374 to 1 030 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 |
|---|---|---|
| 37.7% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 44.4% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ▶ | 64.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
| ▶ | 50.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
| 48.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) | |
| 53.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| 46.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)) | |
| 47.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) | |
| 44.5% | #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)) |
| ▶ | 42.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
| 43.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
Compiled 394 to 218 computations (44.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (/.f64 d (*.f64 c c)) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) | |
| cost-diff | 320 | (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a 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)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) | |
| 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 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
| 302× | lower-*.f32 |
| 292× | lower-*.f64 |
| 160× | times-frac |
| 138× | lower-/.f32 |
| 136× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 226 |
| 0 | 49 | 221 |
| 1 | 68 | 221 |
| 2 | 92 | 219 |
| 3 | 130 | 219 |
| 4 | 181 | 219 |
| 5 | 224 | 219 |
| 6 | 323 | 219 |
| 7 | 407 | 217 |
| 8 | 443 | 217 |
| 9 | 476 | 217 |
| 10 | 514 | 217 |
| 11 | 540 | 217 |
| 0 | 540 | 215 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(fma.f64 d b (*.f64 c a)) |
b |
(*.f64 c a) |
a |
#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 (fma.f64 c c (*.f64 d d))) d)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
b |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
c |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(/.f64 d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
b |
(/.f64 a c) |
a |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 c c (*.f64 d d))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) |
(/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a c))) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(*.f64 c c) |
c |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 a c)) |
b |
(*.f64 c a) |
(*.f64 a c) |
a |
#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 (fma.f64 c c (*.f64 d d))) d)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
b |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
#s(approx (+ (* a c) (* b d)) (*.f64 b d)) |
(*.f64 d b) |
(*.f64 b d) |
d |
b |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
c |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/.f64 d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
b |
(/.f64 a c) |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 6.650461059881644 | (/.f64 d (*.f64 c c)) | |
| accuracy | 7.264039207695281 | (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) | |
| accuracy | 29.300965584899156 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 22.14268646670914 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| accuracy | 30.488985844375904 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 6.6092275673833605 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| accuracy | 11.658916545657169 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) | |
| accuracy | 25.11443636967528 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) | |
| accuracy | 0 | (/.f64 a c) | |
| accuracy | 36.807869436462525 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 0 | (*.f64 c a) | |
| accuracy | 0.5039007452111204 | (fma.f64 d b (*.f64 c a)) | |
| accuracy | 0.858261029861748 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) | |
| accuracy | 22.203652425190594 | (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) |
| 50.0ms | 256× | 0 | valid |
Compiled 209 to 26 computations (87.6% saved)
ival-mult: 12.0ms (46% of total)ival-div: 9.0ms (34.5% of total)ival-add: 5.0ms (19.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c 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 (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ()) |
#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d 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 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<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 (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ()) |
#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ()) |
#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ d b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.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 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#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 (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#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 (+ (* 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 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<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 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.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 (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) 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 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) 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 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) 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 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (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)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) #<representation binary64>) () ())) ()) |
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d 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 (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d 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 (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor 0 c) (#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 (+ (* a c) (* b d)) (taylor 0 c) (#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 (+ (* a c) (* b d)) (taylor 0 c) (#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 (+ (* a c) (* b d)) (taylor 0 c) (#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 (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<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))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.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 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.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 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.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 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#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 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#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 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#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 (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#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 (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) (patch (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | a | @ | inf | ((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a)) |
| 4.0ms | a | @ | 0 | ((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a)) |
| 3.0ms | b | @ | -inf | ((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a)) |
| 3.0ms | b | @ | inf | ((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a)) |
| 3.0ms | d | @ | -inf | ((/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) d) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* (/ d (* c c)) b) (/ a c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ d (* c c)) (+ (* d b) (* c a)) (* c a)) |
| 1× | egg-herbie |
| 7 156× | lower-*.f64 |
| 7 156× | lower-*.f32 |
| 6 322× | lower-fma.f64 |
| 6 322× | lower-fma.f32 |
| 3 220× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 652 | 9784 |
| 1 | 2192 | 9539 |
| 0 | 8133 | 8852 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
(/ d b) |
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) |
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(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) |
(pow c 2) |
(pow c 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 c) |
(/ a c) |
(/ a c) |
(/ 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)) |
(/ b d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(+ (* (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 (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (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 d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* 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)) |
(/ 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)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(/ 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) |
(/ c a) |
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) |
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(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 c 2) |
(pow c 2) |
(/ 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) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ 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) |
(/ (* 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 (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 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) (+ 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)))) |
(/ 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) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ 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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* a c) |
(* a c) |
(* a 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)) |
(/ c a) |
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(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 c 2) |
(pow c 2) |
(/ 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) |
(/ a c) |
(/ a 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) (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 (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 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) (+ 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)))) |
(/ 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) |
(* -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) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) 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)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(* 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) |
(* a c) |
(* a 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)))) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a 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)))) |
(/ (* 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))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* 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)))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* 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)))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* 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)))))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b) |
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b) |
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b) |
(/ (* 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))) |
(* 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))) |
(/ (* 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 (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (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) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* 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) (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) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(/ (* 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)))))))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b)) |
(/ (* 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))) |
(* -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))) |
(/ (* 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 (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ 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) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* 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) (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) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(/ (* 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)))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* 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) |
(/ 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)))) |
(/ (* 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)))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* 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))) |
(/ (* 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)))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(/ (* 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)))))) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a) |
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a) |
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a) |
(/ (* 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) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* 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))) |
(* 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) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(/ 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) (+ (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) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(/ (* 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)))))))) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a)) |
(/ (* 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)))))))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* 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)))))))) |
(/ (* 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)))))))) |
(* 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))))) |
(/ 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) (+ (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)))))))) |
(* 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))))) |
(* a c) |
(* a c) |
(* a c) |
(* a 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)) |
(/ c a) |
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a)) |
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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)) |
(/ 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) (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 (pow c 2)) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (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))) |
(pow c 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) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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)) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 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)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ 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) |
(/ d b) |
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))) |
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(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) |
(/ (+ 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) |
(/ (+ 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) |
(/ (+ 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 (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 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) |
(/ (+ 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) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* 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) |
(/ (+ 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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) 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)) |
(/ d b) |
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(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) |
(* -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) |
(* -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) |
(* -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 (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 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) |
(* -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) |
(* -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) (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) |
(* -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)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(* 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))))) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ d b) |
(/.f64 d b) |
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) |
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) (/.f64 d b)) |
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) d)) (/.f64 #s(literal 1 binary64) (*.f64 d b))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b)) |
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) d)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) (/.f64 (*.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) b) d)) (/.f64 #s(literal 1 binary64) (*.f64 d b))) (*.f64 c a)) (*.f64 d b)))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d 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) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d)) |
(fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 (*.f64 d d) d))) (/.f64 b d)) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 5)) (/ b (pow d 3)))) (/ b d)) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (/.f64 b (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 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)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 7 binary64)))) (/.f64 b (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c) (/.f64 (neg.f64 b) (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 b d)) |
(/ b (pow d 2)) |
(/.f64 b (*.f64 d d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(-.f64 (/.f64 b (*.f64 d d)) (*.f64 (*.f64 c c) (/.f64 b (*.f64 (*.f64 (*.f64 d d) d) d)))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 b (*.f64 d d))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (*.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64)))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 (neg.f64 b) (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 b (*.f64 d d))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 b (*.f64 c c)) d) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
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(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) a) c) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 b (*.f64 c c)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d)) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (*.f64 (*.f64 c c) a) c) d)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
| 5 478× | lower-/.f32 |
| 5 466× | lower-/.f64 |
| 4 420× | lower-*.f32 |
| 4 410× | lower-*.f64 |
| 3 994× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 194 |
| 0 | 49 | 187 |
| 1 | 188 | 187 |
| 2 | 1327 | 187 |
| 0 | 8417 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c 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 (fma.f64 c c (*.f64 d d))) d)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
(/.f64 d (*.f64 c c)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 c a) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 c a) (*.f64 c c)) (fma.f64 #s(literal 1 binary64) (*.f64 c c) (*.f64 (/.f64 c a) (*.f64 b d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (*.f64 (*.f64 b d) (*.f64 (/.f64 d (*.f64 c c)) b)) (*.f64 (*.f64 b d) (/.f64 a c))) (*.f64 c c))) (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)))) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64)) (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (/.f64 b (neg.f64 c)) (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(fma.f64 (/.f64 (neg.f64 d) c) (/.f64 b (neg.f64 c)) (/.f64 a c)) |
(fma.f64 (/.f64 b (*.f64 c c)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) d)) (/.f64 a c)) |
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c) (/.f64 a c)) |
(fma.f64 (*.f64 (/.f64 d c) b) (/.f64 #s(literal 1 binary64) c) (/.f64 a c)) |
(fma.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (*.f64 b (/.f64 d c)) (/.f64 #s(literal 1 binary64) c) (/.f64 a c)) |
(fma.f64 (*.f64 b (neg.f64 d)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (/.f64 a c)) |
(fma.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (/.f64 a c)) |
(fma.f64 (/.f64 b c) (/.f64 d c) (/.f64 a c)) |
(fma.f64 (neg.f64 (neg.f64 a)) (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 d (*.f64 c c)) b)) |
(fma.f64 (neg.f64 (*.f64 b d)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (/.f64 a c)) |
(fma.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 d (*.f64 c c)) b)) |
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 c d)) (/.f64 a c)) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (*.f64 (/.f64 d (*.f64 c c)) b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (/.f64 d (*.f64 c c)) b)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 b (/.f64 #s(literal 1 binary64) d)) (/.f64 a c)) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) (neg.f64 c)) (*.f64 (/.f64 d (*.f64 c c)) b)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c a))) (*.f64 (/.f64 d (*.f64 c c)) b)) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(fma.f64 (*.f64 b d) (/.f64 #s(literal 1 binary64) (*.f64 c c)) (/.f64 a c)) |
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 d (*.f64 c c)) b)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(fma.f64 d (/.f64 b (*.f64 c c)) (/.f64 a c)) |
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) b) (/.f64 a c)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c)) |
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b)) |
(-.f64 (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 (-.f64 a (/.f64 (*.f64 b d) c)) c))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c)) (/.f64 (/.f64 (*.f64 a a) (*.f64 c c)) (/.f64 (-.f64 (/.f64 (*.f64 b d) c) a) c))) |
(+.f64 (*.f64 (/.f64 d (*.f64 c c)) b) (/.f64 a c)) |
(+.f64 (/.f64 a c) (*.f64 (/.f64 d (*.f64 c c)) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 d (neg.f64 c))) |
(*.f64 (*.f64 d #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
(*.f64 (neg.f64 (/.f64 d c)) (/.f64 #s(literal 1 binary64) (neg.f64 c))) |
(*.f64 (neg.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
(*.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 c c)) d) |
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 c c) d)))) |
(*.f64 d (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
(*.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c c))) |
(pow.f64 (/.f64 (*.f64 c c) d) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 d c))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 (neg.f64 c) c)))) |
(/.f64 (neg.f64 (*.f64 d #s(literal 1 binary64))) (*.f64 (neg.f64 c) c)) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 c c)) |
(/.f64 (neg.f64 (/.f64 d c)) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (*.f64 (neg.f64 c) c))) |
(/.f64 (/.f64 d c) c) |
(/.f64 (neg.f64 d) (*.f64 (neg.f64 c) c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 c c) d))) |
(/.f64 d (*.f64 c c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 c c) d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) d)) |
(neg.f64 (/.f64 (neg.f64 d) (*.f64 c c))) |
(neg.f64 (/.f64 d (*.f64 (neg.f64 c) c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (/.f64 d (*.f64 (neg.f64 c) c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 c c) d)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 b) d))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b d (*.f64 (neg.f64 a) c))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))))) |
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(*.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(*.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))))) (neg.f64 (neg.f64 (fma.f64 a c (*.f64 (neg.f64 b) d))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))))) (neg.f64 (neg.f64 (fma.f64 b d (*.f64 (neg.f64 a) c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (*.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))) (*.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (*.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (*.f64 (*.f64 (*.f64 a c) a) c))) (*.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d)))) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c)))) (neg.f64 (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d)))) (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d)))) |
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 a c (*.f64 (neg.f64 b) d))) (fma.f64 a c (*.f64 (neg.f64 b) d))) |
(/.f64 (*.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 b d (*.f64 (neg.f64 a) c))) (fma.f64 b d (*.f64 (neg.f64 a) c))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 (*.f64 a c) a) c (*.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 a) c))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 b b) b) (*.f64 (*.f64 d d) d))) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 b) d)) (*.f64 (*.f64 (*.f64 b d) b) d))) |
(/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c))))) |
(/.f64 (fma.f64 b d (*.f64 a c)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c)))) |
(fma.f64 a c (*.f64 b d)) |
(fma.f64 b d (*.f64 a c)) |
(fma.f64 c a (*.f64 b d)) |
(fma.f64 d b (*.f64 a c)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 a c (*.f64 (neg.f64 b) d))) (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 a c (*.f64 (neg.f64 b) d)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b d) b) d) (fma.f64 b d (*.f64 (neg.f64 a) c))) (/.f64 (*.f64 (*.f64 (*.f64 a c) a) c) (fma.f64 b d (*.f64 (neg.f64 a) c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b d (*.f64 a c)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 b d) (*.f64 a c)) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
(*.f64 c a) |
Compiled 44 341 to 3 048 computations (93.1% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 710 | 14 | 1 724 |
| Fresh | 2 | 6 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 716 | 21 | 1 737 |
| Status | Accuracy | Program |
|---|---|---|
| 37.7% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 31.9% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 22.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 44.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) | |
| 43.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 c a)))) | |
| 53.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) | |
| 48.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) | |
| 53.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 c d)) (/.f64 a c))) | |
| ▶ | 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| ▶ | 54.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| 53.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| ▶ | 44.5% | #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)) |
| 45.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) | |
| ▶ | 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
| 30.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) | |
| 22.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) | |
| 43.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) | |
| 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| 37.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
Compiled 568 to 315 computations (44.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (fma.f64 (/.f64 d c) b a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 d c) b a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 c (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) | |
| 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 b d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 (/.f64 c d) a b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c d) a b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| 36× | lower-*.f32 |
| 28× | lower-*.f64 |
| 28× | lower-/.f32 |
| 28× | lower-fma.f32 |
| 22× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 218 |
| 0 | 47 | 218 |
| 1 | 62 | 218 |
| 2 | 68 | 218 |
| 3 | 71 | 218 |
| 0 | 71 | 212 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
c |
d |
a |
b |
#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 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
c |
(fma.f64 c c (*.f64 d d)) |
(*.f64 d d) |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
d |
c |
b |
a |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
c |
d |
a |
b |
#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 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) a) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 d d) |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
d |
c |
b |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 d c) | |
| accuracy | 0.2905978172670203 | (/.f64 (fma.f64 (/.f64 d c) b a) c) | |
| accuracy | 4.776660531330156 | (fma.f64 (/.f64 d c) b a) | |
| accuracy | 29.300965584899156 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 3.0109490799341216 | (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) | |
| accuracy | 17.10047859453419 | (/.f64 c (fma.f64 c c (*.f64 d d))) | |
| accuracy | 24.460680098100482 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 22.14268646670914 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 26.680724661846554 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 30.488985844375904 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 35.49692706502843 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0 | (/.f64 c d) | |
| accuracy | 0.7349190590101891 | (/.f64 (fma.f64 (/.f64 c d) a b) d) | |
| accuracy | 3.332316866394347 | (fma.f64 (/.f64 c d) a b) | |
| accuracy | 28.58164034960603 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| 57.0ms | 256× | 0 | valid |
Compiled 184 to 25 computations (86.4% saved)
ival-mult: 12.0ms (43.9% of total)ival-div: 11.0ms (40.2% of total)ival-add: 4.0ms (14.6% 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 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* 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 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 (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ()) |
#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ()) |
#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a 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 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a 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 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a 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 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 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 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 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 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 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 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#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 (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#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 (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#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 (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#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 (* b d) (taylor 0 c) (#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 (+ (* a c) (* b d)) (taylor 0 c) (#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 (+ (* a c) (* b d)) (taylor 0 c) (#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 (+ (* a c) (* b d)) (taylor 0 c) (#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 (pow d 2) (taylor 0 c) (#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 (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#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 (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.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 (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 d c) b a) c) (patch (/.f64 (fma.f64 (/.f64 d c) b a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 d c) b a) (patch (fma.f64 (/.f64 d c) b a) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c)) |
| 4.0ms | d | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c)) |
| 3.0ms | c | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c)) |
| 3.0ms | d | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c)) |
| 2.0ms | c | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ d c) b) a) c) (+ (* (/ d c) b) a) (/ d c) (* c c)) |
| 1× | egg-herbie |
| 8 736× | lower-fma.f64 |
| 8 736× | lower-fma.f32 |
| 5 608× | lower-*.f64 |
| 5 608× | lower-*.f32 |
| 2 478× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 451 | 8200 |
| 1 | 1468 | 8090 |
| 2 | 4496 | 7938 |
| 0 | 8136 | 7354 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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)) |
(/ 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)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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)) |
(/ (* 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)) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ 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) (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) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c 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) |
(/ (+ 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) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(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)))) |
(/ 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) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(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)))) |
(/ 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) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ 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 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) 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))))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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) |
(* -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) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(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)))) |
(/ 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) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/ 1 c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(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)))) |
(/ 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) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* 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)))) |
(/ (* 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))) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) 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) |
(/ b d) |
(/ b d) |
(/ b 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)))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b d) |
(* b d) |
(* b 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)))) |
(/ (* 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)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* 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) |
(* 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 |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(/ (* 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) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* 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) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* 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))) |
(* 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)) |
(* 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) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* 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) |
(* -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 |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ (* 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) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* 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) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* 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))) |
(* -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)) |
(* -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) 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) (+ (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) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* 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)))) |
(/ (* 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)))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* 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))) |
(/ (* 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)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 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))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* 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 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) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* 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))) |
(* 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) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(/ (* 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))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (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) |
(* 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 |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(/ (* 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)))))))) |
(/ (* 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)))))) |
(/ (* 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))))) |
(/ (* 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)))))))) |
(/ (* 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)))))))) |
(* 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))))) |
(/ (* 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)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (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)))))))) |
(/ 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 |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ 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)) |
(/ (* 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)) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) 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 d) |
(/ b d) |
(/ b 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)) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* 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)) |
(/ 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)) |
(/ a c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d 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) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ 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) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(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) |
(/ (+ 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) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 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) |
(/ (+ 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) (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) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ 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) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c 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) |
(/ b d) |
(/ b 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) |
(* -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) |
(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) |
(* -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)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 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) |
(* -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) (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) 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))))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(*.f64 (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 d d) (*.f64 d d)))) c) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 a (*.f64 d d))) c) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(fma.f64 (neg.f64 c) (/.f64 (*.f64 c c) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 c (*.f64 d d))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(*.f64 (fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) a (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 b (*.f64 c c)) d) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d 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) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 d b)) c) a) 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 (neg.f64 d) d) (/.f64 a (*.f64 c c)) (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 (*.f64 d d) d) (*.f64 c c))) a)) c) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 d d))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 d d))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 d d))) c) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 d b)) c) a) 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 (neg.f64 d) d) (/.f64 a (*.f64 c c)) (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 (*.f64 d d) d) (*.f64 c c))) a)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 d (/.f64 (neg.f64 d) c)) a (*.f64 d b)) c) a) 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 (neg.f64 d) d) (/.f64 a (*.f64 c c)) (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 (*.f64 d d) d) (*.f64 c c))) a)) c) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))) a) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
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(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))) a) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a) |
(* a (+ (/ b a) (/ c d))) |
(*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(* a (+ c (/ (* b d) a))) |
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(* a (+ c (/ (* b d) a))) |
(*.f64 (fma.f64 d (/.f64 b a) c) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ a c) |
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(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 (*.f64 c c) a)) a) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 (*.f64 c c) a)) a) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 (*.f64 c c) a)) a) (/.f64 a c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 c a)) b #s(literal 1 binary64)) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 c a)) b #s(literal 1 binary64)) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 c a)) b #s(literal 1 binary64)) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))) a) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))) a) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(*.f64 (+.f64 (/.f64 b (*.f64 a d)) (/.f64 c (*.f64 d d))) a) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(*.f64 (+.f64 (/.f64 b a) (/.f64 c d)) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
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(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
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(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (fma.f64 c c (*.f64 d d)) a)) b (/.f64 c (fma.f64 c c (*.f64 d d)))) a) |
(/ a c) |
(/.f64 a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 (*.f64 c c) a)) a) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
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(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 b (*.f64 (/.f64 d (*.f64 (*.f64 c c) a)) a) (/.f64 a c)) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(*.f64 (fma.f64 (/.f64 d (*.f64 (neg.f64 c) a)) b #s(literal -1 binary64)) (neg.f64 a)) |
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(*.f64 (fma.f64 (/.f64 d (*.f64 (neg.f64 c) a)) b #s(literal -1 binary64)) (neg.f64 a)) |
(/ a c) |
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(/ (+ (* a c) (* b d)) (pow d 2)) |
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(/ (+ (* a c) (* b d)) (pow d 2)) |
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(/ (+ (* a c) (* b d)) (pow d 2)) |
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)) |
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(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 c a (*.f64 d b)) d) |
(/ (+ (* a c) (* b d)) d) |
(/.f64 (fma.f64 c a (*.f64 d b)) d) |
(/ (+ (* a c) (* b d)) d) |
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(/ c d) |
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(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
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(/ a c) |
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(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (*.f64 (*.f64 c c) c)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 b (*.f64 c c)) d (/.f64 a c)) |
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(* b d) |
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(* b d) |
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(* b d) |
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(pow c 2) |
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(fma.f64 c c (*.f64 d d)) |
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(fma.f64 c c (*.f64 d d)) |
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(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (*.f64 (*.f64 c c) c)))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
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(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
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(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c))) d) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) d) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
| 10 096× | lower-fma.f32 |
| 10 090× | lower-fma.f64 |
| 6 208× | lower-*.f32 |
| 6 200× | lower-*.f64 |
| 3 330× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 199 |
| 0 | 47 | 199 |
| 1 | 158 | 199 |
| 2 | 1063 | 199 |
| 0 | 8374 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b 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)) (*.f64 d b)) |
(*.f64 d b) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
(*.f64 c c) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 c d) a b))) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d) (/.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b))) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b)) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (fma.f64 (/.f64 c d) a b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (fma.f64 (/.f64 c d) a (neg.f64 b)))) |
(*.f64 (fma.f64 (/.f64 c d) a b) (/.f64 #s(literal 1 binary64) d)) |
(pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d)) (fma.f64 (/.f64 (neg.f64 c) d) a b)) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d)) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d) (fma.f64 (/.f64 c d) a (neg.f64 b))) |
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 (/.f64 (neg.f64 c) d) a b)) (neg.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d))) |
(/.f64 (*.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 (/.f64 (neg.f64 c) d) a b)) (neg.f64 (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) (fma.f64 (/.f64 c d) a b))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d)) |
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 d (fma.f64 (/.f64 c d) a b)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 b)) (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d b) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 b) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a) (/.f64 b d)) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 (/.f64 #s(literal 1 binary64) d) b (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(fma.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d) (/.f64 b d)) |
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (fma.f64 (/.f64 c d) a (neg.f64 b))) d) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 c d) a (neg.f64 b))) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 (/.f64 c d) a b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d)) (/.f64 b d)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a)) (/.f64 b d)) |
(+.f64 (/.f64 b d) (*.f64 (*.f64 (/.f64 c d) a) (/.f64 #s(literal 1 binary64) d))) |
(+.f64 (/.f64 b d) (*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 (/.f64 c d) a))) |
(*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 b (*.f64 (/.f64 c d) a)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 (/.f64 (neg.f64 c) d) a b)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 c d) a b))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)) (*.f64 b b)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (neg.f64 c) d) a b))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) a b)) |
(*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d))) (*.f64 (fma.f64 (/.f64 c d) a b) (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 d d)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) (*.f64 a a)) a (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 (*.f64 (/.f64 c d) a) (fma.f64 (/.f64 c d) a (neg.f64 b)))))) |
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(fma.f64 a #s(literal 1 binary64) (*.f64 (/.f64 d c) b)) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (/.f64 d c) b))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 c c)) (-.f64 a (*.f64 (/.f64 d c) b)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 d c) b) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 d c) b a))) |
(+.f64 (neg.f64 (neg.f64 a)) (*.f64 (/.f64 d c) b)) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) b) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 d c) b) a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 d c) b) a)))) |
(+.f64 (*.f64 (/.f64 d c) b) (neg.f64 (neg.f64 a))) |
(+.f64 (*.f64 (/.f64 d c) b) a) |
(+.f64 a (*.f64 (/.f64 d c) b)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) d) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 d)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) d) |
(*.f64 #s(literal 1 binary64) (/.f64 d c)) |
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 d c) #s(literal 1 binary64)) |
(*.f64 d (/.f64 #s(literal 1 binary64) c)) |
(pow.f64 (/.f64 d c) #s(literal 1 binary64)) |
(pow.f64 (/.f64 c d) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 #s(literal -1 binary64) d)) |
(/.f64 (/.f64 (neg.f64 d) c) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d)) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c d)) |
(/.f64 (neg.f64 d) (neg.f64 c)) |
(/.f64 (/.f64 d c) #s(literal 1 binary64)) |
(/.f64 d c) |
(neg.f64 (/.f64 (/.f64 (neg.f64 d) c) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (neg.f64 d) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 d) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 d) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
(*.f64 c c) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
Compiled 23 246 to 1 720 computations (92.6% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 237 | 9 | 1 246 |
| Fresh | 7 | 8 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 246 | 21 | 1 267 |
| Status | Accuracy | Program |
|---|---|---|
| 37.7% | (/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 22.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 30.3% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 44.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
| 53.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) | |
| ▶ | 53.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c)) | |
| ▶ | 25.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
| ✓ | 44.5% | #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)) |
| 52.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a)))) | |
| 36.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)))) | |
| 45.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) | |
| ✓ | 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
| ▶ | 22.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
| 30.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) | |
| 22.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) | |
| 44.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) | |
| ▶ | 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
| 37.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
Compiled 532 to 287 computations (46.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) | |
| cost-diff | 0 | (/.f64 (*.f64 c a) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) | |
| 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 b c) | |
| cost-diff | 0 | (fma.f64 (/.f64 b c) d a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 394× | lower-*.f32 |
| 382× | lower-*.f64 |
| 176× | lower-/.f32 |
| 168× | associate-*r* |
| 160× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 288 |
| 0 | 56 | 280 |
| 1 | 78 | 276 |
| 2 | 90 | 274 |
| 3 | 127 | 274 |
| 4 | 152 | 274 |
| 5 | 201 | 274 |
| 6 | 202 | 274 |
| 7 | 216 | 274 |
| 8 | 242 | 274 |
| 9 | 285 | 274 |
| 10 | 313 | 274 |
| 11 | 365 | 274 |
| 12 | 443 | 274 |
| 13 | 505 | 274 |
| 14 | 569 | 274 |
| 15 | 578 | 274 |
| 0 | 578 | 264 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
#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 |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) |
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
c |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 c a) |
c |
a |
d |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
#s(approx (+ (* d b) (* c a)) (*.f64 d b)) |
(*.f64 d b) |
b |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
#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 |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) |
(/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
c |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) |
#s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) |
(/.f64 (*.f64 c a) d) |
(*.f64 (/.f64 c d) a) |
(*.f64 c a) |
c |
a |
d |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
#s(approx (+ (* d b) (* c a)) (*.f64 d b)) |
(*.f64 d b) |
b |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0.858261029861748 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) | |
| accuracy | 22.203652425190594 | (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) | |
| accuracy | 30.488985844375904 | #s(approx (+ (* d b) (* c a)) (*.f64 d b)) | |
| accuracy | 0.7349190590101891 | (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) | |
| accuracy | 3.949323043956173 | (/.f64 (*.f64 c a) d) | |
| accuracy | 28.58164034960603 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) | |
| accuracy | 31.496613730084444 | #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) | |
| accuracy | 3.0109490799341216 | (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) | |
| accuracy | 17.10047859453419 | (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 24.460680098100482 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) | |
| accuracy | 28.191411786226684 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) c) | |
| accuracy | 0.1796875 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| accuracy | 36.807869436462525 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.2905978172670203 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| accuracy | 3.996904981782649 | (fma.f64 (/.f64 b c) d a) | |
| accuracy | 29.300965584899156 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 87.0ms | 256× | 0 | valid |
Compiled 212 to 33 computations (84.4% saved)
ival-mult: 16.0ms (39% of total)ival-div: 15.0ms (36.6% of total)ival-add: 9.0ms (22% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b 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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ()) |
#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<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 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<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 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<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 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<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 (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#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 (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#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 (+ (* 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 (/.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 (+ (* 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 (/.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 (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<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 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<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 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<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 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) 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 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) 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 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) 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 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ d b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.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 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
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#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) (patch (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) 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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) 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 #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt b (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<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 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ d b) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* d b) (* c a)) (*.f64 d b)) (patch #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a))) |
| 2.0ms | c | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a))) |
| 2.0ms | a | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a))) |
| 2.0ms | a | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a))) |
| 2.0ms | c | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (/ 1 c) a) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ 1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) a) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* d b) (* c a)))) (/ (+ (* d d) (* c c)) (+ (* d b) (* c a))) (+ (* d d) (* c c)) (* c c) (+ (* d b) (* c a))) |
| 1× | egg-herbie |
| 7 246× | lower-*.f64 |
| 7 246× | lower-*.f32 |
| 6 290× | lower-fma.f64 |
| 6 290× | lower-fma.f32 |
| 3 398× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 761 | 10292 |
| 1 | 2575 | 10050 |
| 0 | 8567 | 9379 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
(/ (* 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)) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ 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)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 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) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ 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)) |
(/ d b) |
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) |
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(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) |
(pow c 2) |
(pow c 2) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* 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) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ 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) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 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) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(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)))) |
(/ 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) (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) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) 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) |
(/ c a) |
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) |
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(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 c 2) |
(pow c 2) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) 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) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a 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)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 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) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/ 1 c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(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)))) |
(/ 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 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) 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) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ 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)) |
(/ c a) |
(* -1 (* c (- (/ (* b d) (* (pow a 2) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* b (* d (- (* -1 (/ (pow d 2) a)) (/ (* (pow b 2) (pow d 2)) (pow a 3))))) (* a c))) (* -1 (/ (pow d 2) a))) (/ (* (pow b 2) (pow d 2)) (pow a 3))) c)) (/ (* b d) (pow a 2))) c)) (/ 1 a)))) |
(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 c 2) |
(pow c 2) |
(* 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) (+ (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) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b 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)))) |
(/ (* 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)))) |
(/ (* 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)))) |
(/ (* 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))) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) 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)))) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 2)))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(+ (* b (- (/ (* b (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 3))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(+ (* b (- (* b (- (* -1 (/ (* b (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow c 4)))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow c 3)))))) (/ (* d (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow c 2))))) (+ (/ c a) (/ (pow d 2) (* a c)))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* 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)) |
(* 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) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* 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))) |
(* 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))) |
(* 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) |
(* 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 |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(/ (* 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)))))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(/ (+ d (+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) (/ (pow c 2) d))) b) |
(/ (- (+ d (+ (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3))) (/ (pow c 2) d))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b) |
(/ (- (+ d (+ (* -1 (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 4)))) (/ (pow c 2) d))) (+ (* -1 (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 3)))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2))))) b) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(/ (* 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)) |
(* -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) 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 c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* 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))) |
(* -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))) |
(* -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) |
(* -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 |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ (* 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)))))))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* b (pow d 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* b (pow d 3))) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) d)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow a 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* b (pow d 4))) (/ (* (pow a 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3))) b)) (/ (* a (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) b))) 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))))) |
(/ (* 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)))) |
(/ (* 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))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) 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)))) |
(/ (* 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))) |
(/ (* 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)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (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))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* 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)))) |
(/ (+ (pow c 2) (pow d 2)) (* b d)) |
(+ (* -1 (/ (* a (* c (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow d 2)))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(+ (* a (- (/ (* a (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow d 3))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(+ (* a (- (* a (- (* -1 (/ (* a (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow d 4)))) (* -1 (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow d 3)))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow d 2))))) (+ (/ d b) (/ (pow c 2) (* b d)))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* 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) |
(* 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 |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* 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))) |
(* 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))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (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 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) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* 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)))))) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(/ (+ c (+ (* -1 (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) (/ (pow d 2) c))) a) |
(/ (- (+ c (+ (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3))) (/ (pow d 2) c))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a) |
(/ (- (+ c (+ (* -1 (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow c 4)))) (/ (pow d 2) c))) (+ (* -1 (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow c 3)))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2))))) a) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(/ (* 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)))))))) |
(/ 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 |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* 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)))))))) |
(/ (* 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)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (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)))))))) |
(/ (* 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)))))) |
(/ (* 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))))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* 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)))))))) |
(/ (+ (pow c 2) (pow d 2)) (* a c)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (* a (pow c 2)))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* a (pow c 3))) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* a (pow c 4))) (/ (* (pow b 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) a)) (/ (* b (* d (+ (pow c 2) (pow d 2)))) (pow c 2))) a))) 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))))) |
(/ 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)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) 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)) |
(/ 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)) |
(/ a c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (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)) |
(/ (* 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)) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) 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)) |
(/ c a) |
(+ (* -1 (/ (* b d) (pow a 2))) (/ c a)) |
(+ (* d (- (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(+ (* d (- (* d (- (+ (* -1 (/ (* b (* d (- (/ 1 (* a c)) (* -1 (/ (pow b 2) (* (pow a 3) c)))))) (* a c))) (/ 1 (* a c))) (* -1 (/ (pow b 2) (* (pow a 3) c))))) (/ b (pow a 2)))) (/ c a)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ 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) (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) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b 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) |
(/ (+ 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) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 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) |
(/ (+ 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) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ 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) |
(/ d b) |
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))) |
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(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) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) 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) (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) 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) |
(* -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) |
(* -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)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 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) |
(* -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) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) 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)) |
(/ d b) |
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(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) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 b (*.f64 c c)) d) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(*.f64 (-.f64 (/.f64 a (*.f64 d d)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 (*.f64 (*.f64 d d) d) d))) c) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 d #s(literal 6 binary64))) (/.f64 a (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 a (*.f64 d d))) c) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c) (/.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 a (*.f64 d d))) c) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 d d) d) d))) c) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (*.f64 c c) (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 8 binary64)))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 d d))) c) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) d)) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 b (*.f64 (*.f64 d d) d)))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ d b) |
(/.f64 d b) |
(+ (* -1 (/ (* a c) (pow b 2))) (/ d b)) |
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) (/.f64 d b)) |
(+ (* c (- (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) b) d))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b)) |
(+ (* c (- (* c (- (+ (* -1 (/ (* a (* c (- (/ 1 (* b d)) (* -1 (/ (pow a 2) (* (pow b 3) d)))))) (* b d))) (/ 1 (* b d))) (* -1 (/ (pow a 2) (* (pow b 3) d))))) (/ a (pow b 2)))) (/ d b)) |
(fma.f64 (fma.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 d b)) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) b) d))) (*.f64 c a)) (*.f64 d b))) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 b b) b) d))) c (/.f64 (neg.f64 a) (*.f64 b b))) c (/.f64 d b)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d 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) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) (*.f64 c c)) (fma.f64 (/.f64 b c) d a)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (fma.f64 (/.f64 b c) d a)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b 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 (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) (*.f64 c c)) (fma.f64 (/.f64 b c) d a)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (fma.f64 (/.f64 b c) d a)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) (*.f64 c c)) (fma.f64 (/.f64 b c) d a)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (fma.f64 (/.f64 b c) d a)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) (*.f64 c c)) a) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 a (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 (*.f64 d d) (*.f64 c c))))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) a) (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)))) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 c c))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (*.f64 (*.f64 c c) c) c)) #s(literal 1 binary64)) (/.f64 (*.f64 d d) (*.f64 c c))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 d d) (*.f64 c c)) (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (*.f64 (*.f64 c c) c) c)))) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) (*.f64 c c)) (fma.f64 (/.f64 b c) d a)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (fma.f64 (/.f64 b c) d a)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 d d))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 d d))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 d d))) c) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 a d) (/.f64 b c)) c) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 d d) (*.f64 c c)) (fma.f64 (/.f64 b c) d a)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (fma.f64 (/.f64 b c) d a)) (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c))) c) |
(/ c a) |
(/.f64 c a) |
(* c (+ (* -1 (/ (* b d) (* (pow a 2) c))) (/ 1 a))) |
(*.f64 (fma.f64 (neg.f64 b) (/.f64 d (*.f64 (*.f64 a a) c)) (/.f64 #s(literal 1 binary64) a)) c) |
(* c (- (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2)))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) a)) (/.f64 #s(literal 1 binary64) a)) (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) c)) (*.f64 b (/.f64 d (*.f64 (*.f64 a a) c))))) c) |
(* c (- (+ (* -1 (/ (* b (* d (- (/ (pow d 2) a) (* -1 (/ (* (pow b 2) (pow d 2)) (pow a 3)))))) (* a (pow c 3)))) (+ (/ 1 a) (/ (pow d 2) (* a (pow c 2))))) (+ (* -1 (/ (* (pow b 2) (pow d 2)) (* (pow a 3) (pow c 2)))) (/ (* b d) (* (pow a 2) c))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 c c) a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 d d) a) (/.f64 (*.f64 (*.f64 (*.f64 b b) d) d) (*.f64 (*.f64 a a) a))) (*.f64 d b)) (*.f64 (*.f64 (*.f64 c c) c) a))) (fma.f64 (*.f64 (neg.f64 b) b) (/.f64 (*.f64 d d) (*.f64 (*.f64 (*.f64 (*.f64 a a) a) c) c)) (*.f64 b (/.f64 d (*.f64 (*.f64 a a) c))))) c) |
(pow c 2) |
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b |
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a |
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(* a c) |
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(/ a c) |
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(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 (/.f64 c d) a b)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) b)) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 c a (*.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))))) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) a) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d)))) (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)))) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 (/.f64 c d) a b)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) b)) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) (*.f64 d d)) (fma.f64 (/.f64 c d) a b)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 (fma.f64 (/.f64 c d) a (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)) b)) (/.f64 (*.f64 (*.f64 c c) b) (*.f64 d d))) d) |
(/ d b) |
(/.f64 d b) |
(* d (+ (* -1 (/ (* a c) (* (pow b 2) d))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 (*.f64 b b) d)) (/.f64 #s(literal 1 binary64) b)) d) |
(* d (- (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(*.f64 (-.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 d b) d)) (/.f64 #s(literal 1 binary64) b)) (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) d) d)) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) d))))) d) |
(* d (- (+ (* -1 (/ (* a (* c (- (/ (pow c 2) b) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 3)))))) (* b (pow d 3)))) (+ (/ 1 b) (/ (pow c 2) (* b (pow d 2))))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (* (pow b 3) (pow d 2)))) (/ (* a c) (* (pow b 2) d))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 (*.f64 d b) d)) (/.f64 #s(literal 1 binary64) b)) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c c) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) b))) (*.f64 c a)) (*.f64 (*.f64 (*.f64 d d) d) b))) (fma.f64 (*.f64 (neg.f64 a) a) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 b b) b) d) d)) (*.f64 a (/.f64 c (*.f64 (*.f64 b b) d))))) d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* b d) |
(*.f64 d b) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 b (*.f64 c c)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) (*.f64 c c)) (/.f64 a (*.f64 c d))) (neg.f64 d)) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (neg.f64 d) (-.f64 (/.f64 (neg.f64 b) c) (/.f64 a d))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (neg.f64 d) (-.f64 (/.f64 (neg.f64 b) c) (/.f64 a d))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (neg.f64 d) (-.f64 (/.f64 (neg.f64 b) c) (/.f64 a d))) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 c a (*.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))))) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 (*.f64 c a) (/.f64 (*.f64 (pow.f64 c #s(literal 7 binary64)) a) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) a) (*.f64 d d)))) (*.f64 d d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)))) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 c c) d) (*.f64 c a)) (neg.f64 d)) b) (neg.f64 d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 a (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 c c) b)) (neg.f64 d))) (neg.f64 d)) b) (neg.f64 d)) |
(/ d b) |
(/.f64 d b) |
(* -1 (* d (- (/ (* a c) (* (pow b 2) d)) (/ 1 b)))) |
(*.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 b b) d)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 c) c) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) b))) (neg.f64 d)) (*.f64 a (/.f64 c (*.f64 b b)))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* a (* c (- (* -1 (/ (pow c 2) b)) (/ (* (pow a 2) (pow c 2)) (pow b 3))))) (* b d))) (* -1 (/ (pow c 2) b))) (/ (* (pow a 2) (pow c 2)) (pow b 3))) d)) (/ (* a c) (pow b 2))) d)) (/ 1 b)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 c) c) b) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) b))) c) (*.f64 d b)) (/.f64 (*.f64 c c) b))) (/.f64 (*.f64 (*.f64 (*.f64 a a) c) c) (*.f64 (*.f64 b b) b))) (neg.f64 d)) (*.f64 a (/.f64 c (*.f64 b b)))) (neg.f64 d)) (/.f64 #s(literal 1 binary64) b)) (neg.f64 d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (neg.f64 d)) |
| 6 236× | lower-fma.f32 |
| 6 232× | lower-fma.f64 |
| 4 744× | lower-/.f32 |
| 4 728× | lower-/.f64 |
| 4 350× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 262 |
| 0 | 56 | 254 |
| 1 | 222 | 248 |
| 2 | 1491 | 248 |
| 0 | 8411 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b 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) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
(*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a) |
(/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (+ (* d b) (* c a)) (*.f64 d b)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 b c) d a) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))))) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b c) d) a))) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b c) d) a)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b c) d) a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (neg.f64 c)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (neg.f64 c)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) c))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 c (-.f64 (*.f64 (/.f64 b c) d) a)))) |
(*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) c))) |
(*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (/.f64 b c) d a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) c) (/.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (-.f64 (*.f64 (/.f64 b c) d) a))) |
(*.f64 (/.f64 (fma.f64 (/.f64 b c) d a) c) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 b c) d a) (/.f64 #s(literal 1 binary64) c)) |
(pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c)) (neg.f64 (-.f64 (*.f64 (/.f64 b c) d) a))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c)) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64))) c) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (neg.f64 c)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c) (-.f64 (*.f64 (/.f64 b c) d) a)) |
(/.f64 (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a))) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) c))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a))) (neg.f64 (*.f64 c (-.f64 (*.f64 (/.f64 b c) d) a)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c)))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) c))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c)))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (neg.f64 c))) |
(/.f64 (*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (neg.f64 c))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) (*.f64 c (-.f64 (*.f64 (/.f64 b c) d) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) c)) |
(/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))))) |
(/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) c)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b c) d a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (/.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) (neg.f64 c)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (/.f64 b c) d) a) c) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (neg.f64 c)) (*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) c) (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (-.f64 (*.f64 (/.f64 b c) d) a)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))) (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 b c) d a))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 c (-.f64 (*.f64 (/.f64 b c) d) a))) (/.f64 (*.f64 a a) (*.f64 c (-.f64 (*.f64 (/.f64 b c) d) a)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a)) c) (/.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 a (*.f64 (/.f64 b c) d)))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (/.f64 b c) d) a)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 b c) d) a))) |
(*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (/.f64 (-.f64 (*.f64 (*.f64 d b) (*.f64 (/.f64 b c) d)) (*.f64 (*.f64 d b) a)) c)))) |
(*.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (/.f64 b c) d a))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b c) d a)) |
(*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 b c) d a)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a))) (*.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (-.f64 (*.f64 (/.f64 b c) d) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (/.f64 b c) d) a)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))) (neg.f64 (-.f64 a (*.f64 (/.f64 b c) d)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)) (*.f64 a a)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b c) d) a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a a) a (/.f64 (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 b c) d)) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c)))))) |
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(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (*.f64 d b) d) b) (*.f64 c c))) (-.f64 a (*.f64 (/.f64 b c) d))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.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 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))))) (neg.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 (*.f64 c c) c) c))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d)))) |
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))) |
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) c) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) 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 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 (*.f64 c c) c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (+.f64 d c)) (/.f64 d (-.f64 d c)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) 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 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(fma.f64 (/.f64 d (+.f64 d c)) (/.f64 (*.f64 (*.f64 d d) d) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(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 (*.f64 (*.f64 c c) c) c) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(fma.f64 (neg.f64 d) (neg.f64 d) (*.f64 c c)) |
(fma.f64 (*.f64 c c) #s(literal 1 binary64) (*.f64 d d)) |
(fma.f64 #s(literal 1 binary64) (*.f64 d d) (*.f64 c c)) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d d) d) d) (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
(*.f64 (*.f64 c c) #s(literal 1 binary64)) |
(*.f64 c c) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(/.f64 c (/.f64 #s(literal 1 binary64) c)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
(*.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) |
(pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(literal 1 binary64)) |
#s(approx (+ (* d b) (* c a)) (*.f64 d b)) |
(/.f64 (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
(neg.f64 (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) #s(literal -1 binary64))) |
Compiled 23 999 to 1 995 computations (91.7% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 217 | 7 | 1 224 |
| Fresh | 2 | 10 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 219 | 26 | 1 245 |
| Status | Accuracy | Program |
|---|---|---|
| 37.7% | (/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 22.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 30.3% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 c a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 44.1% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
| 53.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) | |
| ✓ | 53.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| 53.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 c b)) d a) c)) | |
| 23.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) | |
| 23.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c)) | |
| ✓ | 25.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
| 26.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d)) | |
| 25.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d)) | |
| ✓ | 44.5% | #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)) |
| 21.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64)))) | |
| 45.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) | |
| ✓ | 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
| ✓ | 22.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
| 30.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) | |
| 22.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) | |
| 44.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) | |
| ✓ | 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
| 22.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) | |
| 22.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) | |
| 37.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
Compiled 846 to 308 computations (63.6% 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 (/ (+ (* 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 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 c a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 c b)) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 c d)) (/.f64 a c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) |
(/.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 (fma.f64 (/.f64 a d) c b) d)) |
5 calls:
| 12.0ms | c |
| 12.0ms | b |
| 12.0ms | a |
| 12.0ms | d |
| 11.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 2 | a |
| 71.4% | 4 | b |
| 85.7% | 5 | c |
| 89.2% | 4 | d |
| 77.0% | 2 | (/.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 (/ (+ (* 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 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 c a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (+ (* d b) (* c a)) (*.f64 d b)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) b a)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 c b)) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 c d)) (/.f64 a c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.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 (fma.f64 (/.f64 a d) c b) d)) |
1 calls:
| 23.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 4 | d |
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 (/ (+ (* 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 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 c (/.f64 d a))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
1 calls:
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 3 | d |
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 (/ (+ (* 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 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c 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))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
3 calls:
| 10.0ms | d |
| 7.0ms | c |
| 6.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.8% | 4 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 72.6% | 3 | c |
| 78.8% | 4 | d |
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 (/ (+ (* 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 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 a d) c)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 d b) c)) c)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (fma.f64 c a (*.f64 d b))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#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))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
2 calls:
| 9.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.5% | 5 | c |
| 74.5% | 5 | d |
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 (/ (+ (* 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 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
| Outputs |
|---|
#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))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
2 calls:
| 4.0ms | b |
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 3 | b |
| 71.1% | 4 | d |
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 (/ (+ (* 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 (/.f64 #s(literal 1 binary64) d) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d 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 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) a)) |
| Outputs |
|---|
#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 b d)) |
1 calls:
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 3 | d |
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 | a |
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.5% | 1 | b |
| 42.5% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 42.5% | 1 | c |
| 42.5% | 1 | a |
| 42.5% | 1 | d |
Compiled 39 to 27 computations (30.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 38.0ms | 1.0205703475248028e+62 | 1.8898549003181797e+75 |
| 6.0ms | 8.90041696912321e-64 | 1.5974673683557658e-63 |
| 0.0ms | -0.00011078722508370011 | -0.00011069599721722217 |
| 14.0ms | 224× | 0 | valid |
Compiled 534 to 318 computations (40.4% saved)
ival-mult: 5.0ms (56.5% of total)ival-add: 2.0ms (22.6% of total)ival-div: 1.0ms (11.3% 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 | 1.0205703475248028e+62 | 1.8898549003181797e+75 |
| 0.0ms | 8.90041696912321e-64 | 1.5974673683557658e-63 |
| 0.0ms | -0.00011078722508370011 | -0.00011069599721722217 |
Compiled 498 to 298 computations (40.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.2220229484737679e-54 | 4.775574817130868e-42 |
| 0.0ms | -0.00011078722508370011 | -0.00011069599721722217 |
| 10.0ms | 160× | 0 | valid |
Compiled 302 to 178 computations (41.1% saved)
ival-mult: 4.0ms (65% of total)ival-div: 1.0ms (16.2% of total)ival-add: 1.0ms (16.2% 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 |
|---|---|---|
| 11.0ms | 1.2220229484737679e-54 | 4.775574817130868e-42 |
| 15.0ms | 7.49108411690235e-254 | 8.954925277907095e-244 |
| 0.0ms | -0.00011078722508370011 | -0.00011069599721722217 |
| 17.0ms | 272× | 0 | valid |
Compiled 592 to 338 computations (42.9% saved)
ival-mult: 6.0ms (58.7% of total)ival-div: 2.0ms (19.6% of total)ival-add: 2.0ms (19.6% 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 | 4.300680905301232e+155 | 1.1656906340664791e+161 |
| 1.0ms | 1.2220229484737679e-54 | 4.775574817130868e-42 |
| 1.0ms | 7.49108411690235e-254 | 8.954925277907095e-244 |
| 0.0ms | -0.00011078722508370011 | -0.00011069599721722217 |
| 11.0ms | 144× | 0 | valid |
Compiled 856 to 483 computations (43.6% saved)
ival-mult: 4.0ms (70% of total)ival-div: 1.0ms (17.5% of total)ival-add: 1.0ms (17.5% 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 | 1.2220229484737679e-54 | 4.775574817130868e-42 |
| 1.0ms | 7.49108411690235e-254 | 8.954925277907095e-244 |
| 0.0ms | -0.00011078722508370011 | -0.00011069599721722217 |
Compiled 542 to 318 computations (41.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 9.274398029768854e-58 | 1.2220229484737679e-54 |
| 0.0ms | -0.00011078722508370011 | -0.00011069599721722217 |
| 8.0ms | 128× | 0 | valid |
Compiled 166 to 114 computations (31.3% saved)
ival-mult: 3.0ms (59.5% of total)ival-div: 1.0ms (19.8% of total)ival-add: 1.0ms (19.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 742 |
| 1 | 100 | 742 |
| 2 | 109 | 742 |
| 3 | 116 | 742 |
| 4 | 121 | 742 |
| 5 | 123 | 742 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.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 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.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 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #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)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.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 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.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 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7040159025628825/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 1850000000000000054922487932245313229099284413632074640947501388300319457280 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 8637291987892073/401734511064747568885490523085290650630550748445698208825344 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 c c)))) (if (<=.f64 d #s(literal 440000000000000046028234249893677914931907083605744019009752390047171670141116220716511817951816905848431954397993882730663713140043877941103315175780384768 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 d b)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 6765173564772491/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 7532522082464017/6277101735386680763835789423207666416102355444464034512896 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ d (* c c)) b) (/ a c)) (/.f64 (fma.f64 c a (*.f64 b d)) (*.f64 c c)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 d #s(literal -8168218275838589/73786976294838206464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 1984252074702287/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #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)) |
| 8 736× | lower-fma.f64 |
| 8 736× | lower-fma.f32 |
| 7 644× | lower-fma.f64 |
| 7 644× | lower-fma.f32 |
| 7 156× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 652 | 9784 |
| 1 | 2192 | 9539 |
| 0 | 8133 | 8852 |
| 0 | 451 | 8200 |
| 1 | 1468 | 8090 |
| 2 | 4496 | 7938 |
| 0 | 8136 | 7354 |
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1890 | 1322 |
| 3 | 5760 | 1320 |
| 0 | 8315 | 1190 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 523 to 202 computations (61.4% saved)
Compiled 746 to 190 computations (74.5% saved)
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