
Time bar (total: 8.3s)
| 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)
| 659.0ms | 8 256× | 0 | valid |
ival-mult: 234.0ms (63.5% of total)ival-add: 73.0ms (19.8% of total)ival-div: 53.0ms (14.4% of total)ival-true: 6.0ms (1.6% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 110 | 0 | - | 0 | - | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 4 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 47 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 60 | |
| ↳ | (*.f64 a c) | overflow | 36 | |
| ↳ | (*.f64 b d) | overflow | 29 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 113 | |
| ↳ | (*.f64 c c) | overflow | 66 | |
| ↳ | (*.f64 d d) | overflow | 65 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 39 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 113 | |
| ↳ | (*.f64 c c) | overflow | 66 | |
| ↳ | (*.f64 d d) | overflow | 65 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 13 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 60 | |
| ↳ | (*.f64 a c) | overflow | 36 | |
| ↳ | (*.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 | 14 | |
| ↳ | (*.f64 c c) | underflow | 67 | |
| ↳ | (*.f64 d d) | underflow | 64 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 a c) | overflow | 36 | |
| ↳ | (*.f64 b d) | overflow | 29 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 4 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 6 | |
| ↳ | (*.f64 a c) | underflow | 26 | |
| ↳ | (*.f64 b d) | underflow | 33 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 14 | |
| ↳ | (*.f64 c c) | underflow | 67 | |
| ↳ | (*.f64 d d) | underflow | 64 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 2 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 6 | |
| ↳ | (*.f64 a c) | underflow | 26 | |
| ↳ | (*.f64 b d) | underflow | 33 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 110 | 0 |
| - | 0 | 146 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 110 | 0 | 0 |
| - | 0 | 0 | 146 |
| number | freq |
|---|---|
| 0 | 146 |
| 1 | 106 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 47.0ms | 512× | 0 | valid |
Compiled 113 to 37 computations (67.3% saved)
ival-mult: 13.0ms (45.2% of total)ival-add: 12.0ms (41.7% of total)ival-div: 3.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 2 210× | times-frac |
| 1 210× | div-sub |
| 1 068× | distribute-rgt-in |
| 1 028× | distribute-lft-in |
| 988× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 218 |
| 1 | 132 | 210 |
| 2 | 209 | 210 |
| 3 | 377 | 210 |
| 4 | 914 | 210 |
| 5 | 2299 | 210 |
| 6 | 3076 | 210 |
| 7 | 3886 | 210 |
| 8 | 4759 | 210 |
| 9 | 5156 | 210 |
| 10 | 5284 | 210 |
| 11 | 5444 | 210 |
| 12 | 5444 | 210 |
| 13 | 5480 | 210 |
| 14 | 5496 | 210 |
| 15 | 5496 | 210 |
| 16 | 5856 | 210 |
| 17 | 6830 | 210 |
| 18 | 6982 | 210 |
| 19 | 6994 | 210 |
| 20 | 6998 | 210 |
| 21 | 7006 | 210 |
| 22 | 7014 | 210 |
| 23 | 7014 | 210 |
| 24 | 7122 | 210 |
| 25 | 7170 | 210 |
| 26 | 7170 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 22 | 15 |
| 0 | 22 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.7% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) |
| 12× | lower-fma.f64 |
| 12× | lower-fma.f32 |
| 12× | lower-*.f32 |
| 8× | lift-*.f64 |
| 8× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 22 | 45 |
| 0 | 22 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 a c (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.9531188074906175 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 26.244331039170266 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 19.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 7.0ms (66% of total)ival-add: 2.0ms (18.9% of total)ival-div: 1.0ms (9.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (*.f64 a c) (*.f64 b d))> |
#<alt (+.f64 (*.f64 c c) (*.f64 d d))> |
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d)))> |
#<alt (*.f64 a c)> |
| Outputs |
|---|
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
#<alt (* a c)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | c | @ | 0 | (* a c) |
| 1.0ms | c | @ | inf | (+ (* c c) (* d d)) |
| 1.0ms | a | @ | 0 | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1.0ms | b | @ | -inf | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | -inf | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
| 7 676× | lower-fma.f64 |
| 7 676× | lower-fma.f32 |
| 4 326× | lower-*.f64 |
| 4 326× | lower-*.f32 |
| 1 822× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1892 | 1322 |
| 3 | 5763 | 1320 |
| 0 | 8185 | 1190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
| Outputs |
|---|
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 b d (*.f64 a c)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 b d (*.f64 a c)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 b d (*.f64 a c)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 (neg.f64 c) (/.f64 b (*.f64 d (*.f64 d d))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d (*.f64 d d)))) c)) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 a (*.f64 d d))) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 (fma.f64 d (/.f64 b (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c)))) d)) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a (*.f64 c c)) d) (*.f64 b (*.f64 c c))) d) (*.f64 a c)) d)) d) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
| 5 970× | lower-fma.f64 |
| 5 970× | lower-fma.f32 |
| 5 332× | lower-*.f32 |
| 5 324× | lower-*.f64 |
| 2 426× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 58 | 32 |
| 2 | 435 | 32 |
| 3 | 5073 | 32 |
| 0 | 8760 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
| Outputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 b d) (*.f64 a c)) |
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (*.f64 a (neg.f64 c)))) |
(+.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (*.f64 b (neg.f64 d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b d (*.f64 a (neg.f64 c))))) |
(fma.f64 a c (*.f64 b d)) |
(fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c a (*.f64 b d)) |
(fma.f64 c (/.f64 (*.f64 a (*.f64 a c)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 c (exp.f64 (log.f64 a)) (*.f64 b d)) |
(fma.f64 (*.f64 a c) (/.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 b d (*.f64 a c)) |
(fma.f64 d b (*.f64 a c)) |
(fma.f64 d (exp.f64 (log.f64 b)) (*.f64 a c)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a a) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a a) (/.f64 (*.f64 c c) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 c c)) (/.f64 a (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (*.f64 a (*.f64 a c)) (/.f64 c (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d)) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d)))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(fma.f64 (exp.f64 (log.f64 a)) c (*.f64 b d)) |
(fma.f64 (exp.f64 (log.f64 b)) d (*.f64 a c)) |
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (-.f64 (*.f64 a c) (*.f64 b d))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))))) |
(/.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c)))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal 1 binary64)) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c)))) #s(literal 1 binary64)) (fma.f64 b d (*.f64 a (neg.f64 c)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (-.f64 (*.f64 a c) (*.f64 b d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))))) (neg.f64 (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 b d (*.f64 a (neg.f64 c))))) (neg.f64 (fma.f64 b d (*.f64 a (neg.f64 c))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) (fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d)))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) (fma.f64 a (/.f64 (*.f64 a (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (*.f64 d d) (*.f64 d d))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d))))) |
(pow.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64)) |
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(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (neg.f64 (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 d c)))) (*.f64 (+.f64 c d) (-.f64 d c))) |
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (fma.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (fma.f64 b d (*.f64 a (neg.f64 c))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (fma.f64 b d (*.f64 a (neg.f64 c)))) (*.f64 (*.f64 a c) (*.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 c c))))))) (fma.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (-.f64 (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 (*.f64 a c) (-.f64 (*.f64 a c) (*.f64 b d)) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (fma.f64 a c (*.f64 b d))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (fma.f64 a c (*.f64 b d))))) |
(exp.f64 (log.f64 (*.f64 a c))) |
(exp.f64 (*.f64 (log.f64 (*.f64 a c)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 a c) #s(literal 1 binary64)) |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
Compiled 17 374 to 1 022 computations (94.1% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 471 | 12 | 483 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 472 | 12 | 484 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.5% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ▶ | 58.7% | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
| 48.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) | |
| 48.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) | |
| 53.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) | |
| ▶ | 52.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 47.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) | |
| 49.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) | |
| 36.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 38.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
| 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 45.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Compiled 362 to 200 computations (44.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 a (/.f64 c d) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) | |
| cost-diff | 0 | (/.f64 a c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (fma.f64 a c (*.f64 b d)) | |
| cost-diff | 320 | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
| 330× | lower-*.f32 |
| 320× | lower-*.f64 |
| 144× | lower-fma.f32 |
| 142× | associate-*r* |
| 140× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 206 |
| 0 | 49 | 206 |
| 1 | 65 | 204 |
| 2 | 80 | 204 |
| 3 | 120 | 204 |
| 4 | 167 | 204 |
| 5 | 209 | 204 |
| 6 | 292 | 204 |
| 7 | 354 | 204 |
| 8 | 393 | 204 |
| 9 | 447 | 204 |
| 10 | 486 | 204 |
| 11 | 495 | 204 |
| 0 | 495 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 a c (*.f64 b d)) |
a |
c |
(*.f64 b d) |
b |
d |
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) |
#s(literal 1 binary64) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(*.f64 a c) |
a |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
a |
(/.f64 c d) |
c |
d |
b |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
| Outputs |
|---|
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
(fma.f64 a c (*.f64 b d)) |
a |
c |
(*.f64 b d) |
b |
d |
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) |
#s(literal 1 binary64) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(*.f64 a c) |
a |
c |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
a |
(/.f64 c d) |
c |
d |
b |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 a c (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.9531188074906175 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 26.244331039170266 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 26.445081780791345 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 0 | (/.f64 c d) | |
| accuracy | 0.7176197232073178 | (/.f64 (fma.f64 a (/.f64 c d) b) d) | |
| accuracy | 3.350051676232282 | (fma.f64 a (/.f64 c d) b) | |
| accuracy | 30.023100757669074 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) | |
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 17.888828367314726 | (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 26.466322919295827 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 0 | (/.f64 a c) | |
| accuracy | 34.63285987260147 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 0 | (*.f64 b d) | |
| accuracy | 0.4516737895124207 | (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) | |
| accuracy | 0.7499917428166807 | (fma.f64 a c (*.f64 b d)) | |
| accuracy | 25.763187879776115 | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
| 44.0ms | 256× | 0 | valid |
Compiled 195 to 23 computations (88.2% saved)
ival-div: 11.0ms (41.6% of total)ival-mult: 10.0ms (37.8% of total)ival-add: 5.0ms (18.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))> |
#<alt (fma.f64 a c (*.f64 b d))> |
#<alt (*.f64 b d)> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))> |
#<alt (/.f64 a c)> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))))> |
#<alt (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))> |
#<alt (*.f64 a c)> |
#<alt (fma.f64 d d (*.f64 c c))> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d))> |
#<alt (/.f64 (fma.f64 a (/.f64 c d) b) d)> |
#<alt (fma.f64 a (/.f64 c d) b)> |
#<alt (/.f64 c d)> |
#<alt (+.f64 (*.f64 a c) (*.f64 b d))> |
#<alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))> |
#<alt #s(approx (+ (* c c) (* d d)) (*.f64 c c))> |
| Outputs |
|---|
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
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#<alt (/ 1 (pow d 2))> |
#<alt (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))> |
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#<alt (/ 1 (pow c 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))> |
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))> |
#<alt (/ 1 (pow c 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))> |
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#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))> |
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#<alt (/ b d)> |
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#<alt (/ (* a c) (pow d 2))> |
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#<alt (* a c)> |
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#<alt (* a c)> |
#<alt (pow c 2)> |
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#<alt (pow d 2)> |
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#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
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#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
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#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
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#<alt (/ b d)> |
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#<alt (/ a c)> |
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#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
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#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
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#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
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#<alt (/ b d)> |
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#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ b d)> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (/ b d)> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (* a (+ (/ b a) (/ c d)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (* c (+ (/ a d) (/ b c)))> |
#<alt (/ (* a c) d)> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* a c) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (/ (* a c) d)> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt (+ b (/ (* a c) d))> |
#<alt b> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt (* b (+ 1 (/ (* a c) (* b d))))> |
#<alt b> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (/ c d)> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (pow d 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2))))> |
#<alt (pow c 2)> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (+ (pow c 2) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (pow d 2)> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
#<alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2))))> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | d | @ | inf | (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) |
| 3.0ms | c | @ | inf | (/ (+ (* a (/ c d)) b) d) |
| 1.0ms | a | @ | 0 | (/ (* a c) (+ (* d d) (* c c))) |
| 1.0ms | a | @ | inf | (/ (* a c) (+ (* d d) (* c c))) |
| 1.0ms | a | @ | -inf | (/ (* a c) (+ (* d d) (* c c))) |
| 1× | egg-herbie |
| 9 678× | lower-fma.f64 |
| 9 678× | lower-fma.f32 |
| 5 094× | lower-*.f64 |
| 5 094× | lower-*.f32 |
| 2 636× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 392 | 7672 |
| 1 | 1234 | 7562 |
| 2 | 3728 | 7420 |
| 0 | 8125 | 6850 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ 1 (pow d 2)) |
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
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(/ a c) |
(/ a c) |
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(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
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(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
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(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
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(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
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(/ (* 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 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)))) |
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(/ (+ 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) |
(/ a c) |
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(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
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(/ (- (+ (* -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)) |
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(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
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(/ (- (+ (* -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)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
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(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
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(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
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(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
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(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
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(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
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(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
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(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
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(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ b d) |
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(/ (+ b (/ (* a c) d)) d) |
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(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
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(/ 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))))) |
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(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
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(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 c (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 c (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 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 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (-.f64 a (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)))) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 (/.f64 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))))) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 b (*.f64 c c) (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) d)) d)) d)) d) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a c) |
(*.f64 c a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* a c) |
(*.f64 c a) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 d (/.f64 b c) a)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* b d) |
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(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (-.f64 (/.f64 a (*.f64 d d)) (*.f64 c (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 c (/.f64 a (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 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 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (-.f64 a (/.f64 (*.f64 (*.f64 d d) a) (*.f64 c c)))) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 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 (-.f64 (*.f64 b d) (/.f64 (fma.f64 b (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 (*.f64 d d) a)) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 c (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (-.f64 (/.f64 b (*.f64 c c)) (*.f64 a (/.f64 d (*.f64 c (*.f64 c c))))) (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 b (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 (/.f64 a d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))))) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 b (*.f64 c c) (/.f64 (*.f64 c (*.f64 c (*.f64 c a))) d)) d)) d)) d) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
| 8 950× | lower-fma.f32 |
| 8 942× | lower-fma.f64 |
| 6 258× | lower-*.f32 |
| 6 248× | lower-*.f64 |
| 3 360× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 167 |
| 0 | 49 | 165 |
| 1 | 159 | 165 |
| 2 | 1062 | 165 |
| 0 | 8344 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 a c (*.f64 b d)) |
(*.f64 b d) |
(/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) |
#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 a c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(*.f64 a c) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(fma.f64 a (/.f64 c d) b) |
(/.f64 c d) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 b d))) |
(+.f64 (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))) |
(+.f64 (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))))) |
(+.f64 (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 b d)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 b d)) (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))) |
(+.f64 (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b d) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 d (*.f64 d (*.f64 d d))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d)) (*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 c (neg.f64 c)))) |
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 b d)) #s(literal 1 binary64)) (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))) |
(+.f64 (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 c (*.f64 c (*.f64 c c)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 c d) (fma.f64 c c (*.f64 d d))) (/.f64 (-.f64 c d) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(*.f64 (/.f64 (+.f64 d c) (fma.f64 c c (*.f64 d d))) (/.f64 (-.f64 d c) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (+.f64 c d)) (-.f64 c d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (+.f64 d c)) (-.f64 d c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 a (neg.f64 c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 a (neg.f64 c))) |
(neg.f64 (/.f64 a (neg.f64 c))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 c)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c a))) |
(/.f64 a c) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 a))) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(pow.f64 (/.f64 c a) #s(literal -1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 a c)) |
(*.f64 #s(literal -1 binary64) (/.f64 a (neg.f64 c))) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
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(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(+.f64 (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c))))) |
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(+.f64 (*.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 c c)) (*.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 d d)))) |
(+.f64 (*.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d)) (*.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 c (neg.f64 c)))) |
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(+.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) (*.f64 (neg.f64 (*.f64 d d)) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))))) |
(+.f64 (*.f64 (*.f64 d d) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))))) (*.f64 (*.f64 c (neg.f64 c)) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a c))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a c) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 a c) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (*.f64 d d) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (*.f64 c (neg.f64 c)) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (neg.f64 (*.f64 d d)) (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))))) |
(fma.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) |
(fma.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) |
(fma.f64 (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))))) |
(fma.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(fma.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))) (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 c (*.f64 c (*.f64 c c))))) |
(fma.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 a c) (fma.f64 c (*.f64 c (*.f64 c (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 d (*.f64 d (*.f64 d d))))) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 c c) (*.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (*.f64 d d)))) |
(fma.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 d d) (*.f64 (/.f64 (*.f64 a c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 c (neg.f64 c)))) |
(neg.f64 (/.f64 (*.f64 a c) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 a c))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a c) (neg.f64 (fma.f64 c c (*.f64 d d)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a c)))) |
(neg.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1 binary64))) (fma.f64 c c (*.f64 d d)))) |
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(/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) |
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(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
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(/.f64 (neg.f64 (*.f64 a (*.f64 c #s(literal -1 binary64)))) (fma.f64 c c (*.f64 d d))) |
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a c)) #s(literal -1 binary64)) |
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(*.f64 c (/.f64 a (fma.f64 c c (*.f64 d d)))) |
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(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 (*.f64 a c) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)) |
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(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
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(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (neg.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (neg.f64 (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))))) |
(/.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (-.f64 (*.f64 a c) (*.f64 b d))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) (neg.f64 (-.f64 (*.f64 a c) (*.f64 b d)))) |
(pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (/.f64 (-.f64 (*.f64 a c) (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(*.f64 (neg.f64 (fma.f64 a c (*.f64 b d))) (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))))))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c))))))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (fma.f64 a c (*.f64 b d))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (-.f64 (*.f64 a c) (*.f64 b d))))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(*.f64 (/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d)))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(*.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) |
(*.f64 (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (fma.f64 a c (*.f64 b d))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (fma.f64 a c (*.f64 b d))) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal 1 binary64)) (fma.f64 a c (*.f64 b d))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 d (fma.f64 b d (*.f64 a (neg.f64 c)))))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 a c) (*.f64 b d)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 a c) (*.f64 b d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64)) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
Compiled 47 890 to 2 440 computations (94.9% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 783 | 16 | 1 799 |
| Fresh | 4 | 3 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 790 | 21 | 1 811 |
| Status | Accuracy | Program |
|---|---|---|
| 34.5% | (/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 17.9% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ▶ | 34.5% | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
| ▶ | 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| 53.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) | |
| ✓ | 52.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 29.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64))) b) d)) | |
| 52.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))) | |
| 49.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) | |
| 16.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| 17.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) | |
| ▶ | 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| 41.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) | |
| ✓ | 45.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| ▶ | 41.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
| 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))) | |
| 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| 38.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) | |
| 32.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) | |
| 17.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
Compiled 559 to 320 computations (42.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 b d) | |
| cost-diff | 0 | (fma.f64 a c (*.f64 b d)) | |
| cost-diff | 320 | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c 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 b d) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 b d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #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 b c) | |
| cost-diff | 0 | (fma.f64 d (/.f64 b c) a) | |
| cost-diff | 0 | (/.f64 (fma.f64 d (/.f64 b c) a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| 330× | lower-*.f32 |
| 320× | lower-*.f64 |
| 146× | lower-/.f32 |
| 146× | associate-*r* |
| 144× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 227 |
| 0 | 47 | 227 |
| 1 | 63 | 225 |
| 2 | 78 | 225 |
| 3 | 120 | 225 |
| 4 | 162 | 225 |
| 5 | 194 | 225 |
| 6 | 287 | 225 |
| 7 | 347 | 225 |
| 8 | 386 | 225 |
| 9 | 438 | 225 |
| 10 | 475 | 225 |
| 11 | 484 | 225 |
| 0 | 484 | 225 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(fma.f64 d (/.f64 b c) a) |
d |
(/.f64 b c) |
b |
c |
a |
#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 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 b d)) |
(*.f64 b d) |
b |
d |
#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 |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(fma.f64 a c (*.f64 b d)) |
a |
c |
(*.f64 b d) |
b |
d |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(literal 1 binary64) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(fma.f64 d (/.f64 b c) a) |
(fma.f64 b (/.f64 d c) a) |
d |
(/.f64 b c) |
b |
c |
a |
#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 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 b d)) |
(*.f64 b d) |
b |
d |
#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 a c) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) |
(/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c))) |
(/.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 |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(/.f64 (fma.f64 a c (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(fma.f64 a c (*.f64 b d)) |
a |
c |
(*.f64 b d) |
b |
d |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(literal 1 binary64) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4516737895124207 | (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 0.7499917428166807 | (fma.f64 a c (*.f64 b d)) | |
| accuracy | 25.763187879776115 | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) | |
| accuracy | 26.445081780791362 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 0 | (*.f64 d d) | |
| accuracy | 2.3528379830664683 | (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a) | |
| accuracy | 18.57150346481043 | (/.f64 c (fma.f64 c c (*.f64 d d))) | |
| accuracy | 26.466322919295827 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) | |
| accuracy | 0 | (*.f64 b d) | |
| accuracy | 26.244331039170266 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 26.445081780791362 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 32.29328244807482 | #s(approx (+ (* a c) (* b d)) (*.f64 b d)) | |
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 36.78168304955511 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.5286788237633342 | (/.f64 (fma.f64 d (/.f64 b c) a) c) | |
| accuracy | 1.5011146635056698 | (fma.f64 d (/.f64 b c) a) | |
| accuracy | 29.552012937723934 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| 43.0ms | 256× | 0 | valid |
Compiled 197 to 23 computations (88.3% saved)
ival-mult: 11.0ms (46.9% of total)ival-div: 9.0ms (38.4% of total)ival-add: 3.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))> |
#<alt (/.f64 (fma.f64 d (/.f64 b c) a) c)> |
#<alt (fma.f64 d (/.f64 b c) a)> |
#<alt (/.f64 b c)> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))> |
#<alt (/.f64 b d)> |
#<alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))> |
#<alt #s(approx (+ (* a c) (* b d)) (*.f64 b d))> |
#<alt (*.f64 b d)> |
#<alt #s(approx (+ (* c c) (* d d)) (*.f64 c c))> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a))> |
#<alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)> |
#<alt (/.f64 c (fma.f64 c c (*.f64 d d)))> |
#<alt (fma.f64 c c (*.f64 d d))> |
#<alt (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))> |
#<alt (fma.f64 a c (*.f64 b d))> |
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))> |
#<alt (*.f64 d d)> |
| Outputs |
|---|
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt a> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ b c)> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ b d)> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
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#<alt (* c (+ a (/ (* b d) c)))> |
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#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* a c)> |
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#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
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#<alt (* b (+ d (/ (* a c) b)))> |
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#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
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#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
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#<alt (* b d)> |
#<alt (* b d)> |
#<alt (* b d)> |
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#<alt (* b d)> |
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#<alt (* a c)> |
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#<alt (* a c)> |
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#<alt (* b d)> |
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#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
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#<alt (* a c)> |
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#<alt (* a c)> |
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#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
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#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (/ 1 (pow d 2))> |
#<alt (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))> |
#<alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))> |
#<alt (+ (* (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)))> |
#<alt (/ 1 (pow c 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))> |
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))> |
#<alt (/ 1 (pow c 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2))> |
#<alt (/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2))> |
#<alt (/ 1 (pow c 2))> |
#<alt (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))> |
#<alt (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))> |
#<alt (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))> |
#<alt (/ 1 (pow d 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))> |
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))> |
#<alt (/ 1 (pow d 2))> |
#<alt (/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2))> |
#<alt (/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2))> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
#<alt (pow d 2)> |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | 0 | (+ (* a c) (* b d)) |
| 1.0ms | b | @ | inf | (+ (* a c) (* b d)) |
| 1.0ms | c | @ | -inf | (/ c (+ (* c c) (* d d))) |
| 1.0ms | a | @ | -inf | (* (/ c (+ (* c c) (* d d))) a) |
| 1.0ms | a | @ | inf | (* (/ c (+ (* c c) (* d d))) a) |
| 1× | egg-herbie |
| 9 986× | lower-fma.f64 |
| 9 986× | lower-fma.f32 |
| 5 000× | lower-*.f64 |
| 5 000× | lower-*.f32 |
| 2 972× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 440 | 8060 |
| 1 | 1384 | 7934 |
| 2 | 4122 | 7782 |
| 0 | 8327 | 7193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (pow d 2)) |
(* 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)))) |
(/ 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) |
(/ 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)) |
(/ 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)) |
(/ (* 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)) |
(/ (* 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)) |
(/ (* 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))) |
(/ (* 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))) |
(/ 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)))) |
(/ 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) |
(/ 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)) |
(/ 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)) |
(/ 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)) |
(/ 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 c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(/ 1 (pow d 2)) |
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(+ (* (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))) |
(/ 1 (pow c 2)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ 1 (pow c 2)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ 1 (pow c 2)) |
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(/ 1 (pow d 2)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ 1 (pow d 2)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
| Outputs |
|---|
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c a) (fma.f64 d d (*.f64 c c))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) a)) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
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(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 a d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 c a)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (*.f64 c a) (/.f64 (fma.f64 b (*.f64 c c) (*.f64 a (/.f64 (*.f64 c (*.f64 c c)) d))) d)) d)) d) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a c) |
(*.f64 c a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* a c) |
(*.f64 c a) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 c (/.f64 a b) d)) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(+ (* a c) (* b d)) |
(fma.f64 b d (*.f64 c a)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 c (/.f64 a d) b)) |
(/ 1 (pow d 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 d d)) |
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(fma.f64 (*.f64 c c) (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 #s(literal 1 binary64) (*.f64 d d))) |
(+ (* (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))) |
(fma.f64 (*.f64 c c) (fma.f64 c (fma.f64 c (/.f64 (*.f64 c (neg.f64 c)) (pow.f64 d #s(literal 8 binary64))) (/.f64 c (pow.f64 d #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (*.f64 d d))) |
(/ 1 (pow c 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 c c)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 d (/.f64 d (*.f64 c (neg.f64 c))) #s(literal 1 binary64)) (*.f64 c c)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 c c)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 c c)) |
(/ 1 (pow c 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 c c)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 d (/.f64 d (*.f64 c (neg.f64 c))) #s(literal 1 binary64)) (*.f64 c c)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 c c)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal -1 binary64))) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 c c)) |
(/ 1 (pow c 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 c c)) |
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))) |
(/.f64 (fma.f64 d (/.f64 d (*.f64 c (neg.f64 c))) #s(literal 1 binary64)) (*.f64 c c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(fma.f64 d (*.f64 d (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(fma.f64 (*.f64 d d) (fma.f64 d (fma.f64 d (/.f64 (*.f64 d d) (neg.f64 (pow.f64 c #s(literal 8 binary64)))) (/.f64 d (pow.f64 c #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (*.f64 c c))) |
(/ 1 (pow d 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 d d)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 d d)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 d d)) |
(/ 1 (pow d 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 d d)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 d d)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c c) (*.f64 d d)))) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
| 7 228× | lower-fma.f32 |
| 7 222× | lower-fma.f64 |
| 6 222× | lower-*.f32 |
| 6 212× | lower-*.f64 |
| 3 588× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 191 |
| 0 | 47 | 189 |
| 1 | 146 | 189 |
| 2 | 929 | 189 |
| 0 | 8802 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(fma.f64 d (/.f64 b c) a) |
(/.f64 b c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 b d)) |
(*.f64 b d) |
#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)) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(fma.f64 a c (*.f64 b d)) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 d d) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) a) (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c)) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(+.f64 (*.f64 a (/.f64 #s(literal 1 binary64) c)) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c))) |
(+.f64 (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c)) (*.f64 a (/.f64 #s(literal 1 binary64) c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 b (/.f64 d c) a))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (fma.f64 b (/.f64 d c) (neg.f64 a))) c) (/.f64 (/.f64 (*.f64 a a) (fma.f64 b (/.f64 d c) (neg.f64 a))) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (*.f64 c (fma.f64 b (/.f64 d c) (neg.f64 a)))) (/.f64 (*.f64 a a) (*.f64 c (fma.f64 b (/.f64 d c) (neg.f64 a))))) |
(fma.f64 a (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (/.f64 (*.f64 b d) c) (/.f64 #s(literal 1 binary64) c) (*.f64 a (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) a (*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c))) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (*.f64 b d) c) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(neg.f64 (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 b (/.f64 d c) a) c)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a)))) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 b (/.f64 d c) a))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)))) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 b (/.f64 d c) (neg.f64 a))) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c))) c) (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (/.f64 d c) (neg.f64 a)) c) (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c))) (/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c)))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 d c) (neg.f64 a)) (/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (*.f64 a a)) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 b (/.f64 d c) a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a)) (neg.f64 c))) |
(/.f64 (neg.f64 (fma.f64 b (/.f64 d c) a)) (neg.f64 c)) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c))) c)) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c)))) (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c))))) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c)))) (*.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b d) c) (fma.f64 b (/.f64 d c) (neg.f64 a)))) c)) |
(/.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c)))) (*.f64 (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)))) (neg.f64 c))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 d c) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (*.f64 a a)) (*.f64 (fma.f64 b (/.f64 d c) (neg.f64 a)) c)) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (*.f64 a a)) (*.f64 c (fma.f64 b (/.f64 d c) (neg.f64 a)))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c)) (*.f64 a a)) (*.f64 (neg.f64 (fma.f64 b (/.f64 d c) (neg.f64 a))) (neg.f64 c))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c))))) (*.f64 (neg.f64 c) (fma.f64 a (-.f64 a (/.f64 (*.f64 b d) c)) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (*.f64 c c))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (/.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 c (*.f64 c c))))) (*.f64 (neg.f64 c) (fma.f64 a a (*.f64 (/.f64 (*.f64 b d) c) (fma.f64 b (/.f64 d c) (neg.f64 a)))))) |
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(*.f64 (/.f64 (fma.f64 a c (*.f64 b d)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (/.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 b d) (*.f64 a c)) |
(+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(+.f64 (*.f64 (*.f64 b d) #s(literal 1 binary64)) (*.f64 (*.f64 a c) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b d)) (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(+.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (*.f64 b (neg.f64 d)))) |
(+.f64 (neg.f64 (*.f64 b (neg.f64 d))) (neg.f64 (*.f64 a (neg.f64 c)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 a c)) (*.f64 #s(literal 1 binary64) (*.f64 b d))) |
(+.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (*.f64 (*.f64 b d) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(-.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d))))) |
(-.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (-.f64 (*.f64 b d) (*.f64 a c))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (-.f64 (*.f64 b d) (*.f64 a c)))) |
(fma.f64 a c (*.f64 b d)) |
(fma.f64 c a (*.f64 b d)) |
(fma.f64 (*.f64 a c) #s(literal 1 binary64) (*.f64 (*.f64 b d) #s(literal 1 binary64))) |
(fma.f64 b d (*.f64 a c)) |
(fma.f64 d b (*.f64 a c)) |
(fma.f64 (*.f64 b d) #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 a c) (*.f64 #s(literal 1 binary64) (*.f64 b d))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b d) (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(fma.f64 (*.f64 a (*.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b (neg.f64 d)))) (neg.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(neg.f64 (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (*.f64 b (*.f64 d d)) (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 b (neg.f64 d))))) (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b d) (*.f64 a c)) (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 b d) (*.f64 a c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 b (*.f64 b (*.f64 d d)) (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(/.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a c (*.f64 b (neg.f64 d)))) (fma.f64 a c (*.f64 b (neg.f64 d)))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a c (*.f64 b (neg.f64 d)))) (neg.f64 (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) |
(/.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (neg.f64 (fma.f64 b (*.f64 b (*.f64 d d)) (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 b (neg.f64 d))))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d))))) (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d))))) |
(/.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 b d) (*.f64 a c))) (-.f64 (*.f64 b d) (*.f64 a c))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (*.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (fma.f64 a c (*.f64 b (neg.f64 d))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a c (*.f64 b (neg.f64 d))))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 b (*.f64 b (*.f64 d d)))) (fma.f64 a c (*.f64 b (neg.f64 d))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a c) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 a c) (*.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (*.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (-.f64 (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (*.f64 (*.f64 a (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 b (*.f64 b (*.f64 d d)) (*.f64 a (*.f64 a (*.f64 c c)))))) (fma.f64 a c (*.f64 b (neg.f64 d))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))))) (neg.f64 (neg.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d)))))) (fma.f64 a c (*.f64 b (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d)))))) (neg.f64 (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 b d) (*.f64 a c)))) (neg.f64 (-.f64 (*.f64 b d) (*.f64 a c)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (fma.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d))))) (*.f64 (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))))) (+.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 (*.f64 b (*.f64 b (*.f64 d d))) (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 a c (*.f64 b d)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 a c (*.f64 b d)) (*.f64 (fma.f64 a c (*.f64 b (neg.f64 d))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b d))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a c (*.f64 b d)))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (*.f64 b (*.f64 d d)) (*.f64 (*.f64 a c) (fma.f64 a c (*.f64 b (neg.f64 d))))))) |
(*.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c)))) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a c (*.f64 b (neg.f64 d)))) (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b (neg.f64 d))))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (fma.f64 a c (*.f64 b (neg.f64 d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a c (*.f64 b (neg.f64 d)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 a (*.f64 c (*.f64 a (*.f64 a (*.f64 c c)))) (*.f64 (*.f64 b d) (*.f64 b (*.f64 b (*.f64 d d)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b d) (-.f64 (*.f64 b d) (*.f64 a c))))))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b (neg.f64 d)))))) |
(*.f64 (*.f64 (fma.f64 a c (*.f64 b d)) (-.f64 (*.f64 b d) (*.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b d) (*.f64 a c)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 d))) |
(pow.f64 d #s(literal 2 binary64)) |
(pow.f64 (*.f64 d d) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 d)) #s(literal 2 binary64)) |
(*.f64 d d) |
(*.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d))) |
Compiled 29 733 to 2 026 computations (93.2% saved)
24 alts after pruning (17 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 345 | 7 | 1 352 |
| Fresh | 4 | 10 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 349 | 24 | 1 373 |
| Status | Accuracy | Program |
|---|---|---|
| 34.5% | (/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 17.9% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ✓ | 34.5% | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
| ▶ | 53.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| ✓ | 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| ✓ | 52.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 29.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64))) b) d)) | |
| 52.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))) | |
| ▶ | 16.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
| ▶ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
| 18.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) | |
| 44.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))) c)) | |
| ▶ | 17.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
| ✓ | 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| 41.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) | |
| ✓ | 45.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| ✓ | 41.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
| 16.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) a)) | |
| 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) | |
| ▶ | 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
| 38.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) | |
| 18.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) | |
| 32.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
Compiled 559 to 315 computations (43.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) | |
| cost-diff | 320 | (/.f64 (fma.f64 b d (*.f64 c a)) c) | |
| cost-diff | 0 | (/.f64 (*.f64 c a) d) | |
| cost-diff | 0 | #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) | |
| cost-diff | 0 | #s(approx (+ (* d d) (* c c)) (*.f64 d d)) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (fma.f64 (/.f64 d c) b a) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) | |
| cost-diff | 64 | (/.f64 (fma.f64 (/.f64 d c) b a) c) |
| 7 256× | lower-*.f32 |
| 7 248× | lower-*.f64 |
| 3 376× | associate-/l* |
| 3 002× | lower-/.f32 |
| 2 986× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 302 |
| 0 | 56 | 292 |
| 1 | 82 | 288 |
| 2 | 90 | 288 |
| 3 | 122 | 288 |
| 4 | 138 | 288 |
| 5 | 193 | 288 |
| 6 | 193 | 288 |
| 7 | 206 | 288 |
| 8 | 231 | 288 |
| 9 | 269 | 288 |
| 10 | 291 | 288 |
| 11 | 306 | 288 |
| 12 | 339 | 288 |
| 13 | 430 | 282 |
| 14 | 523 | 282 |
| 15 | 658 | 282 |
| 16 | 1424 | 282 |
| 17 | 1840 | 282 |
| 18 | 1972 | 282 |
| 19 | 2076 | 282 |
| 20 | 2097 | 282 |
| 21 | 2112 | 282 |
| 22 | 2119 | 282 |
| 23 | 2598 | 282 |
| 24 | 2767 | 282 |
| 25 | 2848 | 282 |
| 26 | 2854 | 282 |
| 27 | 2864 | 282 |
| 28 | 2872 | 282 |
| 29 | 2942 | 282 |
| 30 | 3083 | 282 |
| 31 | 3114 | 282 |
| 32 | 5634 | 282 |
| 33 | 5736 | 282 |
| 34 | 6156 | 282 |
| 35 | 7426 | 282 |
| 36 | 7844 | 282 |
| 37 | 7988 | 282 |
| 0 | 8006 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 |
#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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(*.f64 a c) |
a |
c |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 c a) |
c |
a |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c) |
#s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
(fma.f64 b d (*.f64 c a)) |
b |
d |
(*.f64 c a) |
c |
a |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c))) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(fma.f64 (/.f64 d c) b a) |
(fma.f64 b (/.f64 d c) a) |
(/.f64 d c) |
d |
c |
b |
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 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(*.f64 a c) |
a |
c |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d)) |
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) d) |
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) |
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 a c) d)) |
(/.f64 (*.f64 c a) d) |
(/.f64 (*.f64 a c) d) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (fma.f64 b (/.f64 d c) a)) c)) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (fma.f64 b (/.f64 d c) a)) c) |
#s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) |
#s(approx (+ (* d (/ b c)) a) (fma.f64 b (/.f64 d c) a)) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
(fma.f64 b (/.f64 d c) a) |
(fma.f64 b d (*.f64 c a)) |
(fma.f64 a c (*.f64 b d)) |
b |
d |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2539034976055602 | (fma.f64 b d (*.f64 c a)) | |
| accuracy | 0.5286788237633342 | (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c) | |
| accuracy | 10.60100016707154 | (/.f64 (fma.f64 b d (*.f64 c a)) c) | |
| accuracy | 29.552012937723934 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) | |
| accuracy | 0.7176197232073178 | (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d) | |
| accuracy | 4.9004780961306 | (/.f64 (*.f64 c a) d) | |
| accuracy | 30.023100757669074 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) | |
| accuracy | 30.28135734057999 | #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) | |
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 17.888828367314726 | (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| accuracy | 26.466322919295827 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| accuracy | 28.024819443954684 | #s(approx (+ (* d d) (* c c)) (*.f64 d d)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) c) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| accuracy | 34.63285987260147 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| accuracy | 0 | (/.f64 d c) | |
| accuracy | 0.5286788237633342 | (/.f64 (fma.f64 (/.f64 d c) b a) c) | |
| accuracy | 3.374496536011513 | (fma.f64 (/.f64 d c) b a) | |
| accuracy | 29.552012937723934 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| 184.0ms | 256× | 0 | valid |
Compiled 204 to 34 computations (83.3% saved)
ival-mult: 18.0ms (42% of total)ival-div: 17.0ms (39.7% of total)ival-add: 7.0ms (16.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 (/.f64 d c) b a) c)> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c))> |
#<alt (fma.f64 (/.f64 d c) b a)> |
#<alt (/.f64 d c)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) c) a)> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a))> |
#<alt (/.f64 #s(literal 1 binary64) c)> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d))))> |
#<alt (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))> |
#<alt (*.f64 a c)> |
#<alt #s(approx (+ (* d d) (* c c)) (*.f64 d d))> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d))> |
#<alt (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)> |
#<alt #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d))> |
#<alt (/.f64 (*.f64 c a) d)> |
#<alt (/.f64 (fma.f64 b d (*.f64 c a)) c)> |
#<alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c))> |
#<alt (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)> |
#<alt #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c))> |
#<alt (fma.f64 b d (*.f64 c a))> |
| Outputs |
|---|
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d))> |
#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
#<alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
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#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c))> |
#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d)> |
#<alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d)> |
#<alt (/ b d)> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d))> |
#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (/ b d)> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (* a (+ (/ b (* a d)) (/ c (pow d 2))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2))))))> |
#<alt (/ b d)> |
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#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (* c (+ (/ a (pow d 2)) (/ b (* c d))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d))))))> |
#<alt (/ (* a c) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow d 2))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
#<alt (/ b d)> |
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#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d))> |
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#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (+ (/ b d) (/ (* a c) (pow d 2)))> |
#<alt (/ b d)> |
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#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2)))))> |
#<alt (/ b d)> |
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#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d))))> |
#<alt b> |
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#<alt (/ (* a c) d)> |
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#<alt (* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d)))))> |
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#<alt (/ (* a c) d)> |
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#<alt (* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* a c) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt (/ (+ (* a c) (* b d)) d)> |
#<alt b> |
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#<alt b> |
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#<alt b> |
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#<alt b> |
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#<alt (* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1)))> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
#<alt (/ (* a c) d)> |
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#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (/ a b) (/ d c)))> |
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#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
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#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt a> |
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#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
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#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt a> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
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#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (+ a (/ (* b d) c))> |
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#<alt a> |
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#<alt a> |
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#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
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#<alt (* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* a c) (+ (pow c 2) (pow d 2)))> |
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#<alt (* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ b d)> |
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#<alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d))> |
#<alt (/ a c)> |
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#<alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c)> |
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#<alt (/ a c)> |
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#<alt (+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
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#<alt (* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))> |
#<alt (/ (* b d) (+ (pow c 2) (pow d 2)))> |
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#<alt (* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2))))))))> |
#<alt (/ a c)> |
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#<alt (+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c))> |
#<alt (/ b d)> |
#<alt (/ (+ b (/ (* a c) d)) d)> |
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#<alt (/ b d)> |
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#<alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d))> |
#<alt (/ a c)> |
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#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
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#<alt (* d (+ (/ a (* c d)) (/ b (pow c 2))))> |
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#<alt (/ (* b d) (pow c 2))> |
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#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2))))))> |
#<alt (/ a c)> |
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#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (* b (+ (/ a (* b c)) (/ d (pow c 2))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2))))))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ (+ (* a c) (* b d)) (pow c 2))> |
#<alt (/ a c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ (+ a (/ (* b d) c)) c)> |
#<alt (/ a c)> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c))> |
#<alt (/ (* b d) (pow c 2))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (+ (/ a c) (/ (* b d) (pow c 2)))> |
#<alt (/ a c)> |
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#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2)))))> |
#<alt (/ a c)> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c))))> |
#<alt a> |
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#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (* d (+ (/ a d) (/ b c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt (* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c)))))> |
#<alt a> |
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#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (* b (+ (/ a b) (/ d c)))> |
#<alt (/ (* b d) c)> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c)))))> |
#<alt (/ (* b d) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt (/ (+ (* a c) (* b d)) c)> |
#<alt a> |
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#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
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#<alt (+ a (/ (* b d) c))> |
#<alt (/ (* b d) c)> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt (+ a (/ (* b d) c))> |
#<alt a> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt (* a (+ 1 (/ (* b d) (* a c))))> |
#<alt a> |
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#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1)))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b (+ d (/ (* a c) b)))> |
#<alt (* b d)> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* b d)> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* d (+ b (/ (* a c) d)))> |
#<alt (* b d)> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* c (+ a (/ (* b d) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c)))))> |
#<alt (* b d)> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (+ (* a c) (* b d))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a (+ c (/ (* b d) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a)))))> |
201 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | d | @ | -inf | (+ (* d d) (* c c)) |
| 1.0ms | a | @ | -inf | (/ (* a c) (+ (* d d) (* c c))) |
| 1.0ms | a | @ | inf | (/ (* a c) (+ (* d d) (* c c))) |
| 1.0ms | a | @ | 0 | (/ (* a c) (+ (* d d) (* c c))) |
| 1.0ms | c | @ | -inf | (/ (+ (* b d) (* c a)) c) |
| 1× | egg-herbie |
| 10 892× | lower-fma.f64 |
| 10 892× | lower-fma.f32 |
| 5 524× | lower-*.f64 |
| 5 524× | lower-*.f32 |
| 2 350× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 375 | 8838 |
| 1 | 1247 | 8744 |
| 2 | 3928 | 8610 |
| 0 | 8434 | 7976 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* 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))) |
(/ (* 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))) |
(/ (* 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)))) |
(/ 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) |
(/ 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)) |
(/ 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)) |
(/ (* 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)) |
(/ (* 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)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
| Outputs |
|---|
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(*.f64 a (fma.f64 b (/.f64 d (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 c (/.f64 a (*.f64 d d)) (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 b (/.f64 c (*.f64 d (*.f64 d (neg.f64 d)))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 c (fma.f64 c (neg.f64 (fma.f64 a (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 b (*.f64 d (*.f64 d d))))) (/.f64 a (*.f64 d d))) (/.f64 b d)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 a (/.f64 (fma.f64 a (/.f64 (*.f64 d (neg.f64 d)) c) (*.f64 b d)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (fma.f64 a (*.f64 d (/.f64 d (*.f64 c (neg.f64 c)))) a)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 a (/.f64 (*.f64 d (neg.f64 d)) c) (*.f64 b d)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 a (*.f64 d d) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c)) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 (fma.f64 a (*.f64 d (/.f64 d (*.f64 c (neg.f64 c)))) a) c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 b (fma.f64 c (neg.f64 (/.f64 c (*.f64 d d))) #s(literal 1 binary64)) (/.f64 (*.f64 a (fma.f64 c (/.f64 (*.f64 c c) (*.f64 d (neg.f64 d))) c)) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 c (*.f64 c b))) (neg.f64 d))) d)) d) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
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(/.f64 (+.f64 a (/.f64 (fma.f64 a (/.f64 (*.f64 d (neg.f64 d)) c) (*.f64 b d)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 b c) (-.f64 d (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c))) (fma.f64 a (*.f64 d (/.f64 d (*.f64 c (neg.f64 c)))) a)) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 a (/.f64 (*.f64 d (neg.f64 d)) c) (*.f64 b d)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 a (/.f64 (-.f64 (*.f64 b d) (/.f64 (fma.f64 a (*.f64 d d) (/.f64 (*.f64 b (*.f64 d (*.f64 d d))) c)) c)) c)) c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 c (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(*.f64 b (fma.f64 a (/.f64 c (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 (fma.f64 a (*.f64 d (/.f64 d (*.f64 c (neg.f64 c)))) a) c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 d (fma.f64 d (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 4 binary64))) (/.f64 a (*.f64 c (*.f64 c c))))) (/.f64 b (*.f64 c c))) (/.f64 a c)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 b (fma.f64 c (neg.f64 (/.f64 c (*.f64 d d))) #s(literal 1 binary64)) (/.f64 (*.f64 a (fma.f64 c (/.f64 (*.f64 c c) (*.f64 d (neg.f64 d))) c)) d)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 a (/.f64 c d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (fma.f64 a (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 c (*.f64 c b))) (neg.f64 d))) d)) d) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 d (+.f64 (/.f64 a (*.f64 c d)) (/.f64 b (*.f64 c c)))) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(*.f64 b (+.f64 (/.f64 a (*.f64 c b)) (/.f64 d (*.f64 c c)))) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (fma.f64 a c (*.f64 b d)) (*.f64 c c)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 b (/.f64 d c) a) c) |
(/ (* b d) (pow c 2)) |
(/.f64 (*.f64 b d) (*.f64 c c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(/ a c) |
(/.f64 a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(fma.f64 a (/.f64 (*.f64 b d) (*.f64 a (*.f64 c c))) (/.f64 a c)) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* d (+ (/ a d) (/ b c))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 d (+.f64 (/.f64 a d) (/.f64 b c))) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* b (+ (/ a b) (/ d c))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(*.f64 b (+.f64 (/.f64 a b) (/.f64 d c))) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 a c (*.f64 b d)) c) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(/ (* b d) c) |
(/.f64 (*.f64 b d) c) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
(+ a (/ (* b d) c)) |
(fma.f64 b (/.f64 d c) a) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(fma.f64 a (*.f64 b (/.f64 d (*.f64 a c))) a) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* b d) |
(*.f64 b d) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* b (+ d (/ (* a c) b))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* b d) |
(*.f64 b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(*.f64 b (fma.f64 a (/.f64 c b) d)) |
(* a c) |
(*.f64 a c) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* b d) |
(*.f64 b d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* d (+ b (/ (* a c) d))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* b d) |
(*.f64 b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 d (fma.f64 a (/.f64 c d) b)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* a c) |
(*.f64 a c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* c (+ a (/ (* b d) c))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* a c) |
(*.f64 a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(*.f64 c (fma.f64 b (/.f64 d c) a)) |
(* b d) |
(*.f64 b d) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(+ (* a c) (* b d)) |
(fma.f64 a c (*.f64 b d)) |
(* a c) |
(*.f64 a c) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a (+ c (/ (* b d) a))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* a c) |
(*.f64 a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(*.f64 a (fma.f64 b (/.f64 d a) c)) |
| 4 902× | lower-/.f32 |
| 4 886× | lower-/.f64 |
| 4 772× | lower-fma.f32 |
| 4 768× | lower-fma.f64 |
| 4 118× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 276 |
| 0 | 56 | 268 |
| 1 | 236 | 264 |
| 2 | 1548 | 264 |
| 0 | 8317 | 253 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(fma.f64 (/.f64 d c) b a) |
(/.f64 d c) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(/.f64 #s(literal 1 binary64) c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(*.f64 a c) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(/.f64 (fma.f64 b d (*.f64 c a)) c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
(/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c) |
#s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) |
(fma.f64 b d (*.f64 c a)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 d (/.f64 b c) a))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 d (/.f64 b c) a) (neg.f64 c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (fma.f64 d (/.f64 b c) a) (neg.f64 c))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (fma.f64 d (/.f64 b c) (neg.f64 a))) c) (/.f64 (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a))) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a)))) (/.f64 (*.f64 a a) (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a))))) |
(neg.f64 (/.f64 (fma.f64 d (/.f64 b c) a) (neg.f64 c))) |
(/.f64 (fma.f64 d (/.f64 b c) a) c) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 d (/.f64 b c) a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 d (/.f64 b c) a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a))) (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) c) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) (neg.f64 c)) (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) c) (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) (neg.f64 c)) (*.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) (/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) c))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 d (/.f64 b c) a)))) |
(/.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) (neg.f64 c)) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) c)) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))))) |
(/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) c)) |
(/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) (neg.f64 c))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)) (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) (neg.f64 c))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) c))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a))) (neg.f64 (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a))) (neg.f64 (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) c))) |
(/.f64 (*.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) c) (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) c) (fma.f64 d (/.f64 b c) (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64))) c) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) c)) (neg.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) c)) (neg.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)))) |
(pow.f64 (/.f64 c (fma.f64 d (/.f64 b c) a)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 d (/.f64 b c) a) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c) #s(literal 1 binary64)) |
(*.f64 (/.f64 (fma.f64 d (/.f64 b c) a) c) (/.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) (fma.f64 d (/.f64 b c) (neg.f64 a)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 d (/.f64 b c) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d (/.f64 b c) a) (neg.f64 c))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 d (/.f64 b c) a))))) |
(*.f64 (neg.f64 (fma.f64 d (/.f64 b c) a)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)))))) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) c))) |
(*.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 d (/.f64 b c) (neg.f64 a))))) |
(*.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) c))) |
(*.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) (neg.f64 c)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d (/.f64 b c) (neg.f64 a)) (neg.f64 c)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) c) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) c) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) (neg.f64 a)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) (neg.f64 a))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))))) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) (neg.f64 a)))) |
(*.f64 (/.f64 (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))) c) (/.f64 (fma.f64 d (/.f64 b c) a) (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))))) |
(*.f64 (/.f64 (fma.f64 d (/.f64 b c) a) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
(+.f64 a (/.f64 (*.f64 d b) c)) |
(+.f64 (/.f64 (*.f64 d b) c) a) |
(+.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (fma.f64 d (/.f64 b c) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d (/.f64 b c) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (fma.f64 d (/.f64 b c) (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (/.f64 (*.f64 d b) c))) (/.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (-.f64 a (/.f64 (*.f64 d b) c)))) |
(fma.f64 d (/.f64 b c) a) |
(fma.f64 (/.f64 d c) b a) |
(fma.f64 (/.f64 d c) (/.f64 b #s(literal 1 binary64)) a) |
(fma.f64 (/.f64 d c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) a) |
(fma.f64 b (/.f64 d c) a) |
(fma.f64 a #s(literal 1 binary64) (/.f64 (*.f64 d b) c)) |
(fma.f64 (*.f64 d b) (/.f64 #s(literal 1 binary64) c) a) |
(fma.f64 #s(literal 1 binary64) a (/.f64 (*.f64 d b) c)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 d b) c) a) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 b (/.f64 #s(literal 1 binary64) d)) a) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 d (/.f64 #s(literal 1 binary64) b)) a) |
(fma.f64 (/.f64 b c) d a) |
(fma.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) (neg.f64 a))) (neg.f64 (/.f64 (*.f64 a a) (fma.f64 d (/.f64 b c) (neg.f64 a))))) |
(fma.f64 (neg.f64 (*.f64 d b)) (/.f64 #s(literal -1 binary64) c) a) |
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 b (/.f64 #s(literal -1 binary64) d)) a) |
(fma.f64 (*.f64 (neg.f64 d) b) (/.f64 #s(literal -1 binary64) c) a) |
(fma.f64 (*.f64 (neg.f64 b) d) (/.f64 #s(literal -1 binary64) c) a) |
(fma.f64 (/.f64 b (neg.f64 c)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) d)) a) |
(fma.f64 (*.f64 d (neg.f64 b)) (/.f64 #s(literal -1 binary64) c) a) |
(fma.f64 (*.f64 b (neg.f64 d)) (/.f64 #s(literal -1 binary64) c) a) |
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 b (neg.f64 c)) a) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 d) c) a) |
(fma.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 d c) a) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 d c) a) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) d)) (/.f64 b (neg.f64 c)) a) |
(fma.f64 (/.f64 b (/.f64 #s(literal 1 binary64) d)) (/.f64 #s(literal 1 binary64) c) a) |
(fma.f64 (/.f64 b (/.f64 #s(literal -1 binary64) d)) (/.f64 #s(literal -1 binary64) c) a) |
(neg.f64 (neg.f64 (fma.f64 d (/.f64 b c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d b) c) (*.f64 d b)) (*.f64 (*.f64 d b) a)) c)) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (*.f64 d b) c)) (-.f64 (*.f64 a a) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d (/.f64 b c) a)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (fma.f64 a (-.f64 a (/.f64 (*.f64 d b) c)) (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (*.f64 a (*.f64 a a))) (fma.f64 a a (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d b) c) (*.f64 d b)) (*.f64 (*.f64 d b) a)) c))) |
(/.f64 (-.f64 (/.f64 (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 c c)) (*.f64 a a)) (fma.f64 d (/.f64 b c) (neg.f64 a))) |
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(*.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 (neg.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 d b) (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 c (*.f64 a (*.f64 c a))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 d b) (*.f64 d (*.f64 b (*.f64 d b))) (*.f64 (*.f64 c a) (*.f64 c (*.f64 a (*.f64 c a)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (*.f64 b (*.f64 d b)) (*.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 d b))))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 c a) (*.f64 d b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 c a) (*.f64 d b))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (*.f64 d b) (*.f64 c a)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a))))) |
Compiled 21 606 to 1 494 computations (93.1% saved)
26 alts after pruning (14 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 249 | 5 | 1 254 |
| Fresh | 3 | 9 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 252 | 26 | 1 278 |
| Status | Accuracy | Program |
|---|---|---|
| 34.5% | (/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 17.9% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ✓ | 34.5% | (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
| ✓ | 53.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
| ✓ | 53.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
| ✓ | 52.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| 29.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64))) b) d)) | |
| 52.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))) | |
| 47.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d)) | |
| ✓ | 16.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
| 18.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) | |
| 44.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))) c)) | |
| ✓ | 40.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
| ✓ | 17.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
| 18.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) | |
| ✓ | 42.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| 41.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) | |
| ✓ | 45.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) | |
| ✓ | 41.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
| 16.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) | |
| 42.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) b)) | |
| ✓ | 45.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
| 38.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) | |
| 18.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) | |
| 32.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
Compiled 797 to 308 computations (61.4% 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 b (/.f64 (*.f64 c (neg.f64 c)) d) (*.f64 a c)) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64))) b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d)) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
5 calls:
| 16.0ms | b |
| 12.0ms | c |
| 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 |
|---|---|---|
| 71.8% | 6 | a |
| 68.9% | 5 | b |
| 84.2% | 4 | c |
| 83.0% | 4 | d |
| 73.1% | 3 | (/.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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (*.f64 d (+.f64 (/.f64 a d) (/.f64 b c)))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) (fma.f64 a (/.f64 c d) b)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 a (/.f64 (fma.f64 d (/.f64 (*.f64 d (neg.f64 a)) c) (*.f64 b d)) c)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
1 calls:
| 11.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 4 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
(/.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 d (/.f64 b c) a) c)) |
1 calls:
| 14.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.9% | 4 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (fma.f64 b d (*.f64 c a)) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 a (/.f64 c (*.f64 d d)) (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 b (/.f64 d (*.f64 c c)) (/.f64 a c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
2 calls:
| 11.0ms | d |
| 9.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 3 | d |
| 82.6% | 4 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) b a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* 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 (fma.f64 b (/.f64 d c) a) c)) |
1 calls:
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 4 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) |
1 calls:
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 4 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
2 calls:
| 8.0ms | d |
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 3 | d |
| 79.1% | 4 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 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)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* a (/ c d)) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* d (/ b c)) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) b) a) (/.f64 (*.f64 b d) c)) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b d) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 a c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
3 calls:
| 9.0ms | d |
| 6.0ms | c |
| 6.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 5 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 69.3% | 4 | d |
| 71.6% | 4 | c |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* a (/ c d)) b) d) (/.f64 (fma.f64 b d (*.f64 c a)) (*.f64 d d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 d (fma.f64 d d (*.f64 c c))))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))) |
1 calls:
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 3 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* 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))) #s(approx (/ (+ (* a (/ c d)) b) d) (*.f64 c (/.f64 a (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* d (/ b c)) a) c) (*.f64 b (/.f64 d (*.f64 c c))))) |
#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 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) a)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a c) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
1 calls:
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 3 | c |
Compiled 5 to 4 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
5 calls:
| 200.0ms | a |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | d |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.9% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 45.9% | 1 | b |
| 45.9% | 1 | a |
| 45.9% | 1 | d |
| 45.9% | 1 | c |
Compiled 39 to 27 computations (30.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 3.283454762085892e+38 | 1.790305439425758e+52 |
| 13.0ms | 6.375600727662608e-128 | 3.4602364563376427e-124 |
| 11.0ms | -1.0899257413353627e+61 | -3.013172865939072e+59 |
| 29.0ms | 400× | 0 | valid |
Compiled 965 to 565 computations (41.5% saved)
ival-mult: 10.0ms (51.9% of total)ival-add: 7.0ms (36.3% of total)ival-div: 2.0ms (10.4% 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 | 3.283454762085892e+38 | 1.790305439425758e+52 |
| 1.0ms | 6.375600727662608e-128 | 3.4602364563376427e-124 |
| 11.0ms | -1.0899257413353627e+61 | -3.013172865939072e+59 |
| 5.0ms | 80× | 0 | valid |
Compiled 830 to 490 computations (41% saved)
ival-mult: 2.0ms (62.7% of total)ival-add: 1.0ms (31.4% of total)ival-div: 0.0ms (0% 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 | 3.283454762085892e+38 | 1.790305439425758e+52 |
| 1.0ms | 6.375600727662608e-128 | 3.4602364563376427e-124 |
| 0.0ms | -1.0899257413353627e+61 | -3.013172865939072e+59 |
Compiled 830 to 490 computations (41% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.6877214954772886e+118 | 5.186719540567747e+118 |
| 11.0ms | 1.074747477921613e-53 | 3.145484915445497e-52 |
| 0.0ms | -1.0899257413353627e+61 | -3.013172865939072e+59 |
| 10.0ms | 160× | 0 | valid |
Compiled 518 to 300 computations (42.1% saved)
ival-mult: 4.0ms (64.7% 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 |
|---|---|---|
| 0.0ms | 3.6877214954772886e+118 | 5.186719540567747e+118 |
| 0.0ms | 1.074747477921613e-53 | 3.145484915445497e-52 |
| 1.0ms | -1.0899257413353627e+61 | -3.013172865939072e+59 |
Compiled 518 to 300 computations (42.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.6877214954772886e+118 | 5.186719540567747e+118 |
| 0.0ms | 1.074747477921613e-53 | 3.145484915445497e-52 |
| 0.0ms | -1.0899257413353627e+61 | -3.013172865939072e+59 |
Compiled 518 to 300 computations (42.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.2922911602619322e+164 | 2.41088463584096e+166 |
| 0.0ms | 1.074747477921613e-53 | 3.145484915445497e-52 |
| 0.0ms | -1.0899257413353627e+61 | -3.013172865939072e+59 |
| 7.0ms | 112× | 0 | valid |
Compiled 568 to 340 computations (40.1% saved)
ival-mult: 3.0ms (71.1% of total)ival-div: 1.0ms (23.7% of total)ival-add: 1.0ms (23.7% 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 |
|---|---|---|
| 0.0ms | 1.2922911602619322e+164 | 2.41088463584096e+166 |
| 11.0ms | 1.074747477921613e-53 | 3.145484915445497e-52 |
| 3.0ms | -4.3287130056117994e+57 | -3.636444762721732e+57 |
| 11.0ms | 112× | 0 | valid |
Compiled 408 to 252 computations (38.2% saved)
ival-mult: 3.0ms (68.6% of total)ival-div: 1.0ms (22.9% of total)ival-add: 1.0ms (22.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.8964996689152606e-27 | 2.0335575671674063e-22 |
| 0.0ms | -4.3287130056117994e+57 | -3.636444762721732e+57 |
| 8.0ms | 128× | 0 | valid |
Compiled 218 to 154 computations (29.4% saved)
ival-mult: 3.0ms (60.4% of total)ival-div: 1.0ms (20.1% of total)ival-add: 1.0ms (20.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 3.8964996689152606e-27 | 2.0335575671674063e-22 |
| 0.0ms | -4.3287130056117994e+57 | -3.636444762721732e+57 |
Compiled 202 to 138 computations (31.7% saved)
| 1× | egg-herbie |
| 28× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
| 12× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 982 |
| 1 | 118 | 982 |
| 2 | 130 | 982 |
| 3 | 146 | 982 |
| 4 | 155 | 982 |
| 5 | 161 | 982 |
| 6 | 164 | 982 |
| 7 | 165 | 982 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -369999999999999997329776602859435642682265810381782011346944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 binary64)) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 binary64)) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 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 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #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 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #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 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 129999999999999995117162668478707715573323834035268135185408789158879620134484176980451875156765592924730446887862026158076505990528506258587915785282405835802148864 binary64)) #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 a c))))) |
(if (<=.f64 c #s(literal -3799999999999999870113200684767016490761862205266370494464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 129999999999999995117162668478707715573323834035268135185408789158879620134484176980451875156765592924730446887862026158076505990528506258587915785282405835802148864 binary64)) #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 a c))))) |
(if (<=.f64 c #s(literal -3799999999999999870113200684767016490761862205266370494464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 6751202159711419/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))))) |
(if (<=.f64 c #s(literal -3799999999999999870113200684767016490761862205266370494464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 6751202159711419/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -369999999999999997329776602859435642682265810381782011346944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c (neg.f64 b))) d)) d)) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 binary64)) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -369999999999999997329776602859435642682265810381782011346944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (+.f64 b (/.f64 (fma.f64 a c (/.f64 (*.f64 c (*.f64 c b)) (neg.f64 d))) d)) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 binary64)) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 binary64)) (*.f64 (fma.f64 a c (*.f64 b d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 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 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 1762461797511165/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 6200000000000000109584950050259060207153085153280 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a (/.f64 (fma.f64 c c (*.f64 d d)) c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #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 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 b c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #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 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 45000000000000000175233551878085074242668528353218636816879012705016535410229061108535622738326913571786120153519882240 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 d c) a) c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 129999999999999995117162668478707715573323834035268135185408789158879620134484176980451875156765592924730446887862026158076505990528506258587915785282405835802148864 binary64)) #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 a c))))) |
(if (<=.f64 c #s(literal -1249999999999999936733919121342523583704556263766762591354880 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 4178791733408349/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (/.f64 c d) b) d)) (if (<=.f64 c #s(literal 129999999999999995117162668478707715573323834035268135185408789158879620134484176980451875156765592924730446887862026158076505990528506258587915785282405835802148864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -3799999999999999870113200684767016490761862205266370494464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 129999999999999995117162668478707715573323834035268135185408789158879620134484176980451875156765592924730446887862026158076505990528506258587915785282405835802148864 binary64)) #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 a c))))) |
(if (<=.f64 c #s(literal -3799999999999999870113200684767016490761862205266370494464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 1051437920018875/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 c #s(literal 129999999999999995117162668478707715573323834035268135185408789158879620134484176980451875156765592924730446887862026158076505990528506258587915785282405835802148864 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c (fma.f64 c c (*.f64 d d))))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c))))) |
(if (<=.f64 c #s(literal -3799999999999999870113200684767016490761862205266370494464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 6751202159711419/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c a))))) |
(if (<=.f64 c #s(literal -3799999999999999870113200684767016490761862205266370494464 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 c #s(literal 6751202159711419/21778071482940061661655974875633165533184 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 10 892× | lower-fma.f64 |
| 10 892× | lower-fma.f32 |
| 9 678× | lower-fma.f64 |
| 9 678× | lower-fma.f32 |
| 8 950× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 167 |
| 0 | 49 | 165 |
| 1 | 159 | 165 |
| 2 | 1062 | 165 |
| 0 | 8344 | 165 |
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1892 | 1322 |
| 3 | 5763 | 1320 |
| 0 | 8185 | 1190 |
| 0 | 375 | 8838 |
| 1 | 1247 | 8744 |
| 2 | 3928 | 8610 |
| 0 | 8434 | 7976 |
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 58 | 32 |
| 2 | 435 | 32 |
| 3 | 5073 | 32 |
| 0 | 8760 | 28 |
| 0 | 31 | 191 |
| 0 | 47 | 189 |
| 1 | 146 | 189 |
| 2 | 929 | 189 |
| 0 | 8802 | 189 |
| 0 | 392 | 7672 |
| 1 | 1234 | 7562 |
| 2 | 3728 | 7420 |
| 0 | 8125 | 6850 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 001 to 397 computations (60.3% saved)
Compiled 1 010 to 232 computations (77% saved)
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